Least Common Multiple of 906, 314, 942

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 906, 314, 942 i.e. 142242 smallest integer divisible by all numbers.

Least common multiple (LCM) of 906, 314, 942 is 142242.

LCM(906, 314, 942) = 142242

LCM of 906, 314, 942

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

LCM of:

Least Common Multiple of 906,314,942

Least Common Multiple (LCM) of 906,314,942 is 142242

2 906, 314, 942
3 453, 157, 471
157 151, 157, 157
151, 1, 1

∴ So the LCM of the given numbers is 2 x 3 x 157 x 151 x 1 x 1 = 142242

Least Common Multiple of 906,314,942 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 906,314,942 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(906,314,942) = 2

common factors(in case of two or more numbers have common factors) = 942

GCF(906,314,942) x common factors =2 x 942 = 1884

LCM(906,314,942) = ( 906 × 314 × 942 ) / 1884

LCM(906,314,942) = 267983928 / 1884

LCM(906,314,942) = 142242

∴ Least Common Multiple of 906,314,942 is 142242

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 906, 314, 942

1. What is the LCM of 906, 314, 942?

Answer: LCM of 906, 314, 942 is 142242.

2. What are the Factors of 142242?

Answer: Factors of 142242 are . There are integers that are factors of 142242

3. How to Find the LCM of 906, 314, 942 ?

Least Common Multiple of 906, 314, 942.

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(906, 314, 942) = 2 x 3 x 151 x 157 = 142242.