Least Common Multiple of 580/870, 371/777, 875/979

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 580/870, 371/777, 875/979 quickly i.e. 5379500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 580/870, 371/777, 875/979 is 5379500.

LCM(580/870, 371/777, 875/979) = 5379500

LCM of 580/870, 371/777, 875/979

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 580/870,371/777,875/979

Given numbers are 580/870,371/777,875/979

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 580,371,875

Least Common Multiple of Numerators i.e. LCM of 580,371,875 is 5379500.

GCF of Denominators means GCF of 870,777,979 as per the given fractions.

GCF of 870,777,979 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 580,371,875

LCM of Fractions 580/870,371/777,875/979 is 5379500

5 580, 371, 875
7 116, 371, 175
116, 53, 25

∴ So the LCM of the given numbers is 5 x 7 x 116 x 53 x 25 = 5379500

Least Common Multiple of 580,371,875 with GCF Formula

Least Common Multiple of 580,371,875 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 580,371,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(580,371,875) = 1

common factors(in case of two or more numbers have common factors) = 35

GCF(580,371,875) x common factors =1 x 35 = 35

LCM(580,371,875) = ( 580 × 371 × 875 ) / 35

LCM(580,371,875) = 188282500 / 35

LCM(580,371,875) = 5379500


Lets's calculate GCF of 870,777,979

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5379500/1

Therefore the LCM of Fractions 580/870,371/777,875/979 is 5379500

Greatest Common Factor of 870,777,979 By Matching Biggest Common Factor Method

Greatest Common Factor of 870,777,979 By Matching Biggest Common Factor Method

Factors of 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Factors of 777

List of positive integer factors of 777 that divides 777 without a remainder.

1,3,7,21,37,111,259,777

Factors of 979

List of positive integer factors of 979 that divides 979 without a remainder.

1,11,89,979

Greatest Common Factor

We found the factors 870,777,979 . The biggest common factor number is the GCF number.
So the greatest common factor 870,777,979 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 580/870, 371/777, 875/979

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 580/870, 371/777, 875/979?

Answer: LCM of Numerators as per given numbers 580/870, 371/777, 875/979 is

LCM of Numerators i.e. for 580,371,875 is 5379500

GCF of denominators i.e. for 870,777,979 is 1.

Thus, LCM of Fractions is 5379500.Finally, LCM of Fractions for 580/870, 371/777, 875/979 is 5379500.