Least Common Multiple of 195, 312

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 195, 312 i.e. 1560 smallest integer divisible by all numbers.

Least common multiple (LCM) of 195, 312 is 1560.

LCM(195, 312) = 1560

LCM of 195, 312

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

LCM of:

Least Common Multiple of 195,312

Least Common Multiple (LCM) of 195,312 is 1560

3 195, 312
13 65, 104
5, 8

∴ So the LCM of the given numbers is 3 x 13 x 5 x 8 = 1560

Least Common Multiple of 195,312 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 195,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(195,312) = 39

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

GCF(195,312) x common factors =39 x 1 = 39

LCM(195,312) = ( 195 × 312 ) / 39

LCM(195,312) = 60840 / 39

LCM(195,312) = 1560

∴ Least Common Multiple of 195,312 is 1560

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 195, 312

1. What is the LCM of 195, 312?

Answer: LCM of 195, 312 is 1560.

2. What are the Factors of 1560?

Answer: Factors of 1560 are . There are integers that are factors of 1560

3. How to Find the LCM of 195, 312 ?

Least Common Multiple of 195, 312.

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(195, 312) = 2 x 2 x 2 x 3 x 5 x 13 = 1560.