Least Common Multiple of 574, 870, 916, 920

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 574, 870, 916, 920 i.e. 5260468920 smallest integer divisible by all numbers.

Least common multiple (LCM) of 574, 870, 916, 920 is 5260468920.

LCM(574, 870, 916, 920) = 5260468920

LCM of 574, 870, 916, 920

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

LCM of:

Least Common Multiple of 574,870,916,920

Least Common Multiple (LCM) of 574,870,916,920 is 5260468920

2 574, 870, 916, 920
2 287, 435, 458, 460
5 287, 435, 229, 230
287, 87, 229, 46

∴ So the LCM of the given numbers is 2 x 2 x 5 x 287 x 87 x 229 x 46 = 5260468920

Least Common Multiple of 574,870,916,920 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 574,870,916,920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,870,916,920) = 2

common factors(in case of two or more numbers have common factors) = 40

GCF(574,870,916,920) x common factors =2 x 40 = 80

LCM(574,870,916,920) = ( 574 × 870 × 916 × 920 ) / 80

LCM(574,870,916,920) = 420837513600 / 80

LCM(574,870,916,920) = 5260468920

∴ Least Common Multiple of 574,870,916,920 is 5260468920

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 574, 870, 916, 920

1. What is the LCM of 574, 870, 916, 920?

Answer: LCM of 574, 870, 916, 920 is 5260468920.

2. What are the Factors of 5260468920?

Answer: Factors of 5260468920 are . There are integers that are factors of 5260468920

3. How to Find the LCM of 574, 870, 916, 920 ?

Least Common Multiple of 574, 870, 916, 920.

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(574, 870, 916, 920) = 2 x 2 x 2 x 3 x 5 x 7 x 23 x 29 x 41 x 229 = 5260468920.