Least Common Multiple of 920, 268, 918, 935

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 920, 268, 918, 935 i.e. 311220360 smallest integer divisible by all numbers.

Least common multiple (LCM) of 920, 268, 918, 935 is 311220360.

LCM(920, 268, 918, 935) = 311220360

LCM of 920, 268, 918, 935

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

LCM of:

Least Common Multiple of 920,268,918,935

Least Common Multiple (LCM) of 920,268,918,935 is 311220360

2 920, 268, 918, 935
2 460, 134, 459, 935
5 230, 67, 459, 935
17 46, 67, 459, 187
46, 67, 27, 11

∴ So the LCM of the given numbers is 2 x 2 x 5 x 17 x 46 x 67 x 27 x 11 = 311220360

Least Common Multiple of 920,268,918,935 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 920,268,918,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(920,268,918,935) = 1

common factors(in case of two or more numbers have common factors) = 680

GCF(920,268,918,935) x common factors =1 x 680 = 680

LCM(920,268,918,935) = ( 920 × 268 × 918 × 935 ) / 680

LCM(920,268,918,935) = 211629844800 / 680

LCM(920,268,918,935) = 311220360

∴ Least Common Multiple of 920,268,918,935 is 311220360

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 920, 268, 918, 935

1. What is the LCM of 920, 268, 918, 935?

Answer: LCM of 920, 268, 918, 935 is 311220360.

2. What are the Factors of 311220360?

Answer: Factors of 311220360 are . There are integers that are factors of 311220360

3. How to Find the LCM of 920, 268, 918, 935 ?

Least Common Multiple of 920, 268, 918, 935.

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(920, 268, 918, 935) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 11 x 17 x 23 x 67 = 311220360.