Least Common Multiple of 715, 135, 129, 312, 345

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 715, 135, 129, 312, 345 i.e. 152741160 smallest integer divisible by all numbers.

Least common multiple (LCM) of 715, 135, 129, 312, 345 is 152741160.

LCM(715, 135, 129, 312, 345) = 152741160

LCM of 715, 135, 129, 312, 345

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

LCM of:

Least Common Multiple of 715,135,129,312,345

Least Common Multiple (LCM) of 715,135,129,312,345 is 152741160

3 715, 135, 129, 312, 345
5 715, 45, 43, 104, 115
13 143, 9, 43, 104, 23
11, 9, 43, 8, 23

∴ So the LCM of the given numbers is 3 x 5 x 13 x 11 x 9 x 43 x 8 x 23 = 152741160

Least Common Multiple of 715,135,129,312,345 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 715,135,129,312,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,135,129,312,345) = 1

common factors(in case of two or more numbers have common factors) = 8775

GCF(715,135,129,312,345) x common factors =1 x 8775 = 8775

LCM(715,135,129,312,345) = ( 715 × 135 × 129 × 312 × 345 ) / 8775

LCM(715,135,129,312,345) = 1340303679000 / 8775

LCM(715,135,129,312,345) = 152741160

∴ Least Common Multiple of 715,135,129,312,345 is 152741160

LCM of two or more Numbers Calculation Examples

Frequently Asked Questions on LCM of 715, 135, 129, 312, 345

1. What is the LCM of 715, 135, 129, 312, 345?

Answer: LCM of 715, 135, 129, 312, 345 is 152741160.

2. What are the Factors of 152741160?

Answer: Factors of 152741160 are . There are integers that are factors of 152741160

3. How to Find the LCM of 715, 135, 129, 312, 345 ?

Least Common Multiple of 715, 135, 129, 312, 345.

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(715, 135, 129, 312, 345) = 2 x 2 x 2 x 3 x 3 x 3 x 5 x 11 x 13 x 23 x 43 = 152741160.