Least Common Multiple of 744, 6072

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Use the LCM of two or more numbers Calculator to find the Least Common Multiple of numbers 744, 6072 i.e. 188232 smallest integer divisible by all numbers.

Least common multiple (LCM) of 744, 6072 is 188232.

LCM(744, 6072) = 188232

LCM of 744, 6072

Least common multiple or lowest common denominator (lcd) can be calculated in three ways

LCM of:

Least Common Multiple of 744,6072

Least Common Multiple (LCM) of 744,6072 is 188232

2 744, 6072
2 372, 3036
2 186, 1518
3 93, 759
31, 253

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 31 x 253 = 188232

Least Common Multiple of 744,6072 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 744,6072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,6072) = 24

common factors(in case of two or more numbers have common factors) = 1

GCF(744,6072) x common factors =24 x 1 = 24

LCM(744,6072) = ( 744 × 6072 ) / 24

LCM(744,6072) = 4517568 / 24

LCM(744,6072) = 188232

∴ Least Common Multiple of 744,6072 is 188232

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 744, 6072

1. What is the LCM of 744, 6072?

Answer: LCM of 744, 6072 is 188232.

2. What are the Factors of 188232?

Answer: Factors of 188232 are . There are integers that are factors of 188232

3. How to Find the LCM of 744, 6072 ?

Least Common Multiple of 744, 6072.

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors with last row quotient of common division that is LCM(744, 6072) = 2 x 2 x 2 x 3 x 11 x 23 x 31 = 188232.