How do you find the LCM when HCF is given?

The highest common factor is found by multiplyingall the factors which appear in both lists: So the HCF of 60and 72 is 2 × 2 × 3 which is 12. The lowest commonmultiple is found by multiplying all the factors which appear ineither list: So the LCM of 60 and 72 is 2 × 2 ×2 × 3 × 3 × 5 which is 360.

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Similarly, it is asked, how do you find the LCM of a number?

One way to find the least common multipleof two numbers is to first list the prime factors of eachnumber. Then multiply each factor the greatest numberof times it occurs in either number. If the same factoroccurs more than once in both numbers, you multiply thefactor the greatest number of times it occurs.

how do you use prime factorization to find HCF and LCM? Finding HCF and LCM by Prime Factorisation

1. To find the LCM of two numbers, find the product of all theprime numbers of the smaller numbers and those of the larger numberthat are not contained in the smaller one.
2. HCF: The common factors of 24 and 40 are 2 x 2 x 2 = 8.
3. LCM: We take the prime factors of the smaller number (24), andthey are 2, 3, 2, and 2.

Furthermore, what is the fastest way to find the LCM?

How to Find the LCM – FAST!!!

1. Step 1) Find the GCF for the two numbers.
2. Step 2) Divide that GCF into either number; it doesn't matterwhich one you choose, so choose the one that's easier todivide.
3. Step 3) Take that answer and multiply it by the othernumber.
4. Step 4) Celebrate …

What is the LCM of 8 and 12?

Least Common Multiple of 8 and 12 The first few multiples of 8 are: 8, 16,24, 32, 40, and 48. The first multiples of 12 are:12, 24, 36, 48, 60, and 72.

Related Question Answers

Is 1 a prime number?

However, 1 only has one positive divisor(1 itself), so it is not prime. Rebuttal: That's notthe definition of a prime number! A prime number is apositive integer whose positive divisors are exactly 1 anditself.

What is the LCM of 6 and 12?

Therefore LCM (12,30) = 60.

What is the LCM of 30 and 45?

What is the LCM of 30 and 45? Thelcm of 30 and 45 is 90.

What is a prime factor?

A factor that is a prime number. In otherwords: any of the prime numbers that can be multiplied togive the original number. Example: The prime factors of 15are 3 and 5 (because 3×5=15, and 3 and 5 are primenumbers). See: Prime Number. PrimeFactorization.

How do you find the HCF?

The highest common factor is found by multiplying allthe factors which appear in both lists: So the HCF of 60 and72 is 2 × 2 × 3 which is 12. The lowest common multipleis found by multiplying all the factors which appear in eitherlist: So the LCM of 60 and 72 is 2 × 2 × 2 × 3× 3 × 5 which is 360.

What is the formula for the LCM?

LCM - Important Formulas. HCF andLCM > Important Formulas(LCM) LeastCommon Multiple (LCM) Least Common Multiple(LCM) of two or more numbers is the smallest number that isa multiple of all the numbers.

What is the LCM of 4 and 6?

What is the LCM of 4 and 6? The lcm of 4 and6 is 12.

Which is a prime number?

A prime number is a whole number greaterthan 1 whose only factors are 1 and itself. A factor is a wholenumbers that can be divided evenly into anothernumber. The first few prime numbers are 2, 3, 5, 7,11, 13, 17, 19, 23 and 29. Numbers that have more than twofactors are called composite numbers.

What is the GCF of 4 and 5?

We found the factors and prime factorization of 4 and5. The biggest common factor number is the GCF number.So the greatest common factor 4 and 5 is 1.

What is the LCM of 6 and 8?

Least Common Multiple of 6 and 8. Least commonmultiple (LCM) of 6 and 8 is 24.

What is the LCM of 50 and 75?

What is the LCM of 50 and 75? The lcm of 50and 75 is 150.

What is GCF in math?

The greatest common factor, or GCF, is thegreatest factor that divides two numbers. To find the GCF oftwo numbers: List the prime factors of each number. Multiply thosefactors both numbers have in common. If there are no common primefactors, the GCF is 1.

What is LCM and HCF in maths?

LCM stands for Lowest Common Multiple, andHCF stands for Highest Common Factor. We use LCM and HCFto compare two (or more) integers. The LCM of two integersis the smallest whole number that appears in both of their timestables, that is, the smallest integer that is a multiple of bothnumbers.

What is the least common multiple of 4 and 12?

The Least Common Multiple (LCM) of some numbersis the smallest number that the numbers are factors of. Like theLCM of 3 and 4 is 12, because 12 is thesmallest number that 3 and 4 are both factors for. Type somenumbers into the box to the right, and this page will find the LCMof those numbers.

What is the definition of multiples of a number?

In math, the meaning of a multiple is theproduct result of one number multiplied by anothernumber. Here, 56 is a multiple of the integer 7. Hereis another example of multiples: Fun Facts. 0 is amultiple of every number as the product of 0multiplied by any number is 0.

What is a composite number in math?

Composite Number. more A whole number thatcan be made by multiplying other whole numbers. Example: 6can be made by 2 × 3 so is a composite number. But 7can not be made by multiplying other whole numbers(1×7 would work, but we said to use other wholenumbers) so is not a composite number, it is a primenumber.

How do you solve prime factors?

Step 1: Start by dividing the number by the firstprime number 2 and continue dividing by 2 until you get adecimal or remainder. Then divide by 3, 5, 7, etc. until the onlynumbers left are prime numbers. Step 2: Write the number asa product of prime numbers. Example 2 - Find the PrimeFactorization of 189.

What is the HCF of 24 and 36?

Factors of 36 = 1, 2, 3, 4, 6, 9, 12, 18 and36. Therefore, common factor of 24 and 36 = 1, 2, 3,4, 6, 8 and 12. Highest common factor (H.C.F) of 24 and 36 =12. To find Highest Common Factor by using Prime FactorizationMethod.

What is the HCF of two prime numbers?

The divisors of 37 are 1, 37 and no other number.Now H.C.F. , the Highest Common Factor is the Highest of allthe factors that are common to both 5 and 37. Since 1 is the onlycommon factor of 5 and 37, it follows that the highest commonfactor or HCF of 5 and 37 is 1.