Least Common Multiple of 315, 371, 742

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 315, 371, 742 i.e. 33390 smallest integer divisible by all numbers.

Least common multiple (LCM) of 315, 371, 742 is 33390.

LCM(315, 371, 742) = 33390

LCM of 315, 371, 742

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

LCM of:

Least Common Multiple of 315,371,742

Least Common Multiple (LCM) of 315,371,742 is 33390

7 315, 371, 742
53 45, 53, 106
45, 1, 2

∴ So the LCM of the given numbers is 7 x 53 x 45 x 1 x 2 = 33390

Least Common Multiple of 315,371,742 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 315,371,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(315,371,742) = 7

common factors(in case of two or more numbers have common factors) = 371

GCF(315,371,742) x common factors =7 x 371 = 2597

LCM(315,371,742) = ( 315 × 371 × 742 ) / 2597

LCM(315,371,742) = 86713830 / 2597

LCM(315,371,742) = 33390

∴ Least Common Multiple of 315,371,742 is 33390

LCM of two or more Numbers Calculation Examples

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Frequently Asked Questions on LCM of 315, 371, 742

1. What is the LCM of 315, 371, 742?

Answer: LCM of 315, 371, 742 is 33390.

2. What are the Factors of 33390?

Answer: Factors of 33390 are . There are integers that are factors of 33390

3. How to Find the LCM of 315, 371, 742 ?

Least Common Multiple of 315, 371, 742.

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(315, 371, 742) = 2 x 3 x 3 x 5 x 7 x 53 = 33390.