Least Common Multiple of 61, 65, 61, 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 61, 65, 61, 312 i.e. 95160 smallest integer divisible by all numbers.

Least common multiple (LCM) of 61, 65, 61, 312 is 95160.

LCM(61, 65, 61, 312) = 95160

LCM of 61, 65, 61, 312

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

LCM of:

Least Common Multiple of 61,65,61,312

Least Common Multiple (LCM) of 61,65,61,312 is 95160

13 61, 65, 61, 312
61 61, 5, 61, 24
1, 5, 1, 24

∴ So the LCM of the given numbers is 13 x 61 x 1 x 5 x 1 x 24 = 95160

Least Common Multiple of 61,65,61,312 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 61,65,61,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(61,65,61,312) = 1

common factors(in case of two or more numbers have common factors) = 793

GCF(61,65,61,312) x common factors =1 x 793 = 793

LCM(61,65,61,312) = ( 61 × 65 × 61 × 312 ) / 793

LCM(61,65,61,312) = 75461880 / 793

LCM(61,65,61,312) = 95160

∴ Least Common Multiple of 61,65,61,312 is 95160

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 61, 65, 61, 312

1. What is the LCM of 61, 65, 61, 312?

Answer: LCM of 61, 65, 61, 312 is 95160.

2. What are the Factors of 95160?

Answer: Factors of 95160 are . There are integers that are factors of 95160

3. How to Find the LCM of 61, 65, 61, 312 ?

Least Common Multiple of 61, 65, 61, 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(61, 65, 61, 312) = 2 x 2 x 2 x 3 x 5 x 13 x 61 = 95160.