Least Common Multiple of 679/875, 979/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 679/875, 979/810 quickly i.e. 664741/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 679/875, 979/810 is 664741/5.

LCM(679/875, 979/810) = 664741/5

LCM of 679/875, 979/810

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 679/875,979/810

Given numbers are 679/875,979/810

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 679,979

Least Common Multiple of Numerators i.e. LCM of 679,979 is 664741.

GCF of Denominators means GCF of 875,810 as per the given fractions.

GCF of 875,810 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 679,979

LCM of Fractions 679/875,979/810 is 664741/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 664741

Least Common Multiple of 679,979 with GCF Formula

Least Common Multiple of 679,979 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 679,979 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,979) = 1

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

GCF(679,979) x common factors =1 x 1 = 1

LCM(679,979) = ( 679 × 979 ) / 1

LCM(679,979) = 664741 / 1

LCM(679,979) = 664741


Lets's calculate GCF of 875,810

5 875, 810
175, 162

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 664741/5

Therefore the LCM of Fractions 679/875,979/810 is 664741/5

Greatest Common Factor of 875,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 875,810 By Matching Biggest Common Factor Method

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 875,810 . The biggest common factor number is the GCF number.
So the greatest common factor 875,810 is 5.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 679/875, 979/810

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 679/875, 979/810?

Answer: LCM of Numerators as per given numbers 679/875, 979/810 is

LCM of Numerators i.e. for 679,979 is 664741

GCF of denominators i.e. for 875,810 is 5.

Thus, LCM of Fractions is 664741/5.Finally, LCM of Fractions for 679/875, 979/810 is 664741/5.