Least Common Multiple of 120, 268, 736, 599

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 120, 268, 736, 599 i.e. 443068320 smallest integer divisible by all numbers.

Least common multiple (LCM) of 120, 268, 736, 599 is 443068320.

LCM(120, 268, 736, 599) = 443068320

LCM of 120, 268, 736, 599

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

LCM of:

Least Common Multiple of 120,268,736,599

Least Common Multiple (LCM) of 120,268,736,599 is 443068320

2 120, 268, 736, 599
2 60, 134, 368, 599
2 30, 67, 184, 599
15, 67, 92, 599

∴ So the LCM of the given numbers is 2 x 2 x 2 x 15 x 67 x 92 x 599 = 443068320

Least Common Multiple of 120,268,736,599 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 120,268,736,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(120,268,736,599) = 1

common factors(in case of two or more numbers have common factors) = 32

GCF(120,268,736,599) x common factors =1 x 32 = 32

LCM(120,268,736,599) = ( 120 × 268 × 736 × 599 ) / 32

LCM(120,268,736,599) = 14178186240 / 32

LCM(120,268,736,599) = 443068320

∴ Least Common Multiple of 120,268,736,599 is 443068320

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 120, 268, 736, 599

1. What is the LCM of 120, 268, 736, 599?

Answer: LCM of 120, 268, 736, 599 is 443068320.

2. What are the Factors of 443068320?

Answer: Factors of 443068320 are . There are integers that are factors of 443068320

3. How to Find the LCM of 120, 268, 736, 599 ?

Least Common Multiple of 120, 268, 736, 599.

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(120, 268, 736, 599) = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 23 x 67 x 599 = 443068320.