Least Common Multiple of 20/789, 960/502, 924/140

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/789, 960/502, 924/140 quickly i.e. 73920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/789, 960/502, 924/140 is 73920.

LCM(20/789, 960/502, 924/140) = 73920

LCM of 20/789, 960/502, 924/140

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 20/789,960/502,924/140

Given numbers are 20/789,960/502,924/140

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 20,960,924

Least Common Multiple of Numerators i.e. LCM of 20,960,924 is 73920.

GCF of Denominators means GCF of 789,502,140 as per the given fractions.

GCF of 789,502,140 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,960,924

LCM of Fractions 20/789,960/502,924/140 is 73920

2 20, 960, 924
2 10, 480, 462
3 5, 240, 231
5 5, 80, 77
1, 16, 77

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 16 x 77 = 73920

Least Common Multiple of 20,960,924 with GCF Formula

Least Common Multiple of 20,960,924 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 20,960,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,960,924) = 4

common factors(in case of two or more numbers have common factors) = 60

GCF(20,960,924) x common factors =4 x 60 = 240

LCM(20,960,924) = ( 20 × 960 × 924 ) / 240

LCM(20,960,924) = 17740800 / 240

LCM(20,960,924) = 73920


Lets's calculate GCF of 789,502,140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73920/1

Therefore the LCM of Fractions 20/789,960/502,924/140 is 73920

Greatest Common Factor of 789,502,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 789,502,140 By Matching Biggest Common Factor Method

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Factors of 502

List of positive integer factors of 502 that divides 502 without a remainder.

1,2,251,502

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Greatest Common Factor

We found the factors 789,502,140 . The biggest common factor number is the GCF number.
So the greatest common factor 789,502,140 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 20/789, 960/502, 924/140

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 20/789, 960/502, 924/140?

Answer: LCM of Numerators as per given numbers 20/789, 960/502, 924/140 is

LCM of Numerators i.e. for 20,960,924 is 73920

GCF of denominators i.e. for 789,502,140 is 1.

Thus, LCM of Fractions is 73920.Finally, LCM of Fractions for 20/789, 960/502, 924/140 is 73920.