Least Common Multiple of 354, 315

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 354, 315 i.e. 37170 smallest integer divisible by all numbers.

Least common multiple (LCM) of 354, 315 is 37170.

LCM(354, 315) = 37170

LCM of 354, 315

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

LCM of:

Least Common Multiple of 354,315

Least Common Multiple (LCM) of 354,315 is 37170

3 354, 315
118, 105

∴ So the LCM of the given numbers is 3 x 118 x 105 = 37170

Least Common Multiple of 354,315 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 354,315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,315) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(354,315) x common factors =3 x 1 = 3

LCM(354,315) = ( 354 × 315 ) / 3

LCM(354,315) = 111510 / 3

LCM(354,315) = 37170

∴ Least Common Multiple of 354,315 is 37170

LCM of two or more Numbers Calculation Examples

Here are some samples of LCM of two or more Numbers calculations.

Frequently Asked Questions on LCM of 354, 315

1. What is the LCM of 354, 315?

Answer: LCM of 354, 315 is 37170.

2. What are the Factors of 37170?

Answer: Factors of 37170 are . There are integers that are factors of 37170

3. How to Find the LCM of 354, 315 ?

Least Common Multiple of 354, 315.

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(354, 315) = 2 x 3 x 3 x 5 x 7 x 59 = 37170.