Least Common Multiple of 268, 708, 57

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 268, 708, 57 i.e. 901284 smallest integer divisible by all numbers.

Least common multiple (LCM) of 268, 708, 57 is 901284.

LCM(268, 708, 57) = 901284

LCM of 268, 708, 57

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

LCM of:

Least Common Multiple of 268,708,57

Least Common Multiple (LCM) of 268,708,57 is 901284

2 268, 708, 57
2 134, 354, 57
3 67, 177, 57
67, 59, 19

∴ So the LCM of the given numbers is 2 x 2 x 3 x 67 x 59 x 19 = 901284

Least Common Multiple of 268,708,57 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 268,708,57 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(268,708,57) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(268,708,57) x common factors =1 x 12 = 12

LCM(268,708,57) = ( 268 × 708 × 57 ) / 12

LCM(268,708,57) = 10815408 / 12

LCM(268,708,57) = 901284

∴ Least Common Multiple of 268,708,57 is 901284

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 268, 708, 57

1. What is the LCM of 268, 708, 57?

Answer: LCM of 268, 708, 57 is 901284.

2. What are the Factors of 901284?

Answer: Factors of 901284 are . There are integers that are factors of 901284

3. How to Find the LCM of 268, 708, 57 ?

Least Common Multiple of 268, 708, 57.

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(268, 708, 57) = 2 x 2 x 3 x 19 x 59 x 67 = 901284.