Least Common Multiple of 870, 285, 310

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 870, 285, 310 i.e. 512430 smallest integer divisible by all numbers.

Least common multiple (LCM) of 870, 285, 310 is 512430.

LCM(870, 285, 310) = 512430

LCM of 870, 285, 310

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

LCM of:

Least Common Multiple of 870,285,310

Least Common Multiple (LCM) of 870,285,310 is 512430

2 870, 285, 310
3 435, 285, 155
5 145, 95, 155
29, 19, 31

∴ So the LCM of the given numbers is 2 x 3 x 5 x 29 x 19 x 31 = 512430

Least Common Multiple of 870,285,310 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 870,285,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(870,285,310) = 5

common factors(in case of two or more numbers have common factors) = 30

GCF(870,285,310) x common factors =5 x 30 = 150

LCM(870,285,310) = ( 870 × 285 × 310 ) / 150

LCM(870,285,310) = 76864500 / 150

LCM(870,285,310) = 512430

∴ Least Common Multiple of 870,285,310 is 512430

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 870, 285, 310

1. What is the LCM of 870, 285, 310?

Answer: LCM of 870, 285, 310 is 512430.

2. What are the Factors of 512430?

Answer: Factors of 512430 are . There are integers that are factors of 512430

3. How to Find the LCM of 870, 285, 310 ?

Least Common Multiple of 870, 285, 310.

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(870, 285, 310) = 2 x 3 x 5 x 19 x 29 x 31 = 512430.