Least Common Multiple of 20/40, 762/79, 508/773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/40, 762/79, 508/773 quickly i.e. 7620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/40, 762/79, 508/773 is 7620.

LCM(20/40, 762/79, 508/773) = 7620

LCM of 20/40, 762/79, 508/773

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 20/40,762/79,508/773

Given numbers are 20/40,762/79,508/773

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 20,762,508

Least Common Multiple of Numerators i.e. LCM of 20,762,508 is 7620.

GCF of Denominators means GCF of 40,79,773 as per the given fractions.

GCF of 40,79,773 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,762,508

LCM of Fractions 20/40,762/79,508/773 is 7620

2 20, 762, 508
2 10, 381, 254
127 5, 381, 127
5, 3, 1

∴ So the LCM of the given numbers is 2 x 2 x 127 x 5 x 3 x 1 = 7620

Least Common Multiple of 20,762,508 with GCF Formula

Least Common Multiple of 20,762,508 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 20,762,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,762,508) = 2

common factors(in case of two or more numbers have common factors) = 508

GCF(20,762,508) x common factors =2 x 508 = 1016

LCM(20,762,508) = ( 20 × 762 × 508 ) / 1016

LCM(20,762,508) = 7741920 / 1016

LCM(20,762,508) = 7620


Lets's calculate GCF of 40,79,773

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7620/1

Therefore the LCM of Fractions 20/40,762/79,508/773 is 7620

Greatest Common Factor of 40,79,773 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,79,773 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Greatest Common Factor

We found the factors 40,79,773 . The biggest common factor number is the GCF number.
So the greatest common factor 40,79,773 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 20/40, 762/79, 508/773

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 20/40, 762/79, 508/773?

Answer: LCM of Numerators as per given numbers 20/40, 762/79, 508/773 is

LCM of Numerators i.e. for 20,762,508 is 7620

GCF of denominators i.e. for 40,79,773 is 1.

Thus, LCM of Fractions is 7620.Finally, LCM of Fractions for 20/40, 762/79, 508/773 is 7620.