Least Common Multiple of 427, 756, 51

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 427, 756, 51 i.e. 783972 smallest integer divisible by all numbers.

Least common multiple (LCM) of 427, 756, 51 is 783972.

LCM(427, 756, 51) = 783972

LCM of 427, 756, 51

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

LCM of:

Least Common Multiple of 427,756,51

Least Common Multiple (LCM) of 427,756,51 is 783972

3 427, 756, 51
7 427, 252, 17
61, 36, 17

∴ So the LCM of the given numbers is 3 x 7 x 61 x 36 x 17 = 783972

Least Common Multiple of 427,756,51 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 427,756,51 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(427,756,51) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(427,756,51) x common factors =1 x 21 = 21

LCM(427,756,51) = ( 427 × 756 × 51 ) / 21

LCM(427,756,51) = 16463412 / 21

LCM(427,756,51) = 783972

∴ Least Common Multiple of 427,756,51 is 783972

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 427, 756, 51

1. What is the LCM of 427, 756, 51?

Answer: LCM of 427, 756, 51 is 783972.

2. What are the Factors of 783972?

Answer: Factors of 783972 are . There are integers that are factors of 783972

3. How to Find the LCM of 427, 756, 51 ?

Least Common Multiple of 427, 756, 51.

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(427, 756, 51) = 2 x 2 x 3 x 3 x 3 x 7 x 17 x 61 = 783972.