Least Common Multiple of 20/865, 7790/6920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/865, 7790/6920 quickly i.e. 15580/865 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/865, 7790/6920 is 15580/865.

LCM(20/865, 7790/6920) = 15580/865

LCM of 20/865, 7790/6920

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 20/865,7790/6920

Given numbers are 20/865,7790/6920

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 20,7790

Least Common Multiple of Numerators i.e. LCM of 20,7790 is 15580.

GCF of Denominators means GCF of 865,6920 as per the given fractions.

GCF of 865,6920 is 865 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,7790

LCM of Fractions 20/865,7790/6920 is 15580/865

2 20, 7790
5 10, 3895
2, 779

∴ So the LCM of the given numbers is 2 x 5 x 2 x 779 = 15580

Least Common Multiple of 20,7790 with GCF Formula

Least Common Multiple of 20,7790 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 20,7790 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,7790) = 10

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

GCF(20,7790) x common factors =10 x 1 = 10

LCM(20,7790) = ( 20 × 7790 ) / 10

LCM(20,7790) = 155800 / 10

LCM(20,7790) = 15580


Lets's calculate GCF of 865,6920

5 865, 6920
173 173, 1384
1, 8

∴ So the GCF of the given numbers is 5 x 173 = 865

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15580/865

Therefore the LCM of Fractions 20/865,7790/6920 is 15580/865

Greatest Common Factor of 865,6920 By Matching Biggest Common Factor Method

Greatest Common Factor of 865,6920 By Matching Biggest Common Factor Method

Factors of 865

List of positive integer factors of 865 that divides 865 without a remainder.

1,5,173,865

Factors of 6920

List of positive integer factors of 6920 that divides 6920 without a remainder.

1,2,4,5,8,10,20,40,173,346,692,865,1384,1730,3460,6920

Greatest Common Factor

We found the factors 865,6920 . The biggest common factor number is the GCF number.
So the greatest common factor 865,6920 is 865.


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 20/865, 7790/6920

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 20/865, 7790/6920?

Answer: LCM of Numerators as per given numbers 20/865, 7790/6920 is

LCM of Numerators i.e. for 20,7790 is 15580

GCF of denominators i.e. for 865,6920 is 865.

Thus, LCM of Fractions is 15580/865.Finally, LCM of Fractions for 20/865, 7790/6920 is 15580/865.