Least Common Multiple of 413, 744, 279, 72

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 413, 744, 279, 72 i.e. 921816 smallest integer divisible by all numbers.

Least common multiple (LCM) of 413, 744, 279, 72 is 921816.

LCM(413, 744, 279, 72) = 921816

LCM of 413, 744, 279, 72

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

LCM of:

Least Common Multiple of 413,744,279,72

Least Common Multiple (LCM) of 413,744,279,72 is 921816

2 413, 744, 279, 72
2 413, 372, 279, 36
2 413, 186, 279, 18
3 413, 93, 279, 9
3 413, 31, 93, 3
31 413, 31, 31, 1
413, 1, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 31 x 413 x 1 x 1 x 1 = 921816

Least Common Multiple of 413,744,279,72 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 413,744,279,72 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,744,279,72) = 1

common factors(in case of two or more numbers have common factors) = 6696

GCF(413,744,279,72) x common factors =1 x 6696 = 6696

LCM(413,744,279,72) = ( 413 × 744 × 279 × 72 ) / 6696

LCM(413,744,279,72) = 6172479936 / 6696

LCM(413,744,279,72) = 921816

∴ Least Common Multiple of 413,744,279,72 is 921816

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 413, 744, 279, 72

1. What is the LCM of 413, 744, 279, 72?

Answer: LCM of 413, 744, 279, 72 is 921816.

2. What are the Factors of 921816?

Answer: Factors of 921816 are . There are integers that are factors of 921816

3. How to Find the LCM of 413, 744, 279, 72 ?

Least Common Multiple of 413, 744, 279, 72.

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(413, 744, 279, 72) = 2 x 2 x 2 x 3 x 3 x 7 x 31 x 59 = 921816.