Least Common Multiple of 744, 552, 528, 872

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, 552, 528, 872 i.e. 41034576 smallest integer divisible by all numbers.

Least common multiple (LCM) of 744, 552, 528, 872 is 41034576.

LCM(744, 552, 528, 872) = 41034576

LCM of 744, 552, 528, 872

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

LCM of:

Least Common Multiple of 744,552,528,872

Least Common Multiple (LCM) of 744,552,528,872 is 41034576

2 744, 552, 528, 872
2 372, 276, 264, 436
2 186, 138, 132, 218
3 93, 69, 66, 109
31, 23, 22, 109

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 31 x 23 x 22 x 109 = 41034576

Least Common Multiple of 744,552,528,872 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 744,552,528,872 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,552,528,872) = 8

common factors(in case of two or more numbers have common factors) = 576

GCF(744,552,528,872) x common factors =8 x 576 = 4608

LCM(744,552,528,872) = ( 744 × 552 × 528 × 872 ) / 4608

LCM(744,552,528,872) = 189087326208 / 4608

LCM(744,552,528,872) = 41034576

∴ Least Common Multiple of 744,552,528,872 is 41034576

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 744, 552, 528, 872

1. What is the LCM of 744, 552, 528, 872?

Answer: LCM of 744, 552, 528, 872 is 41034576.

2. What are the Factors of 41034576?

Answer: Factors of 41034576 are . There are integers that are factors of 41034576

3. How to Find the LCM of 744, 552, 528, 872 ?

Least Common Multiple of 744, 552, 528, 872.

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, 552, 528, 872) = 2 x 2 x 2 x 2 x 3 x 11 x 23 x 31 x 109 = 41034576.