Least Common Multiple of 20/296, 40/981, 525/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/296, 40/981, 525/768 quickly i.e. 4200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/296, 40/981, 525/768 is 4200.

LCM(20/296, 40/981, 525/768) = 4200

LCM of 20/296, 40/981, 525/768

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 20/296,40/981,525/768

Given numbers are 20/296,40/981,525/768

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 20,40,525

Least Common Multiple of Numerators i.e. LCM of 20,40,525 is 4200.

GCF of Denominators means GCF of 296,981,768 as per the given fractions.

GCF of 296,981,768 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,40,525

LCM of Fractions 20/296,40/981,525/768 is 4200

2 20, 40, 525
2 10, 20, 525
5 5, 10, 525
1, 2, 105

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 2 x 105 = 4200

Least Common Multiple of 20,40,525 with GCF Formula

Least Common Multiple of 20,40,525 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 20,40,525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,40,525) = 5

common factors(in case of two or more numbers have common factors) = 20

GCF(20,40,525) x common factors =5 x 20 = 100

LCM(20,40,525) = ( 20 × 40 × 525 ) / 100

LCM(20,40,525) = 420000 / 100

LCM(20,40,525) = 4200


Lets's calculate GCF of 296,981,768

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4200/1

Therefore the LCM of Fractions 20/296,40/981,525/768 is 4200

Greatest Common Factor of 296,981,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,981,768 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 296,981,768 . The biggest common factor number is the GCF number.
So the greatest common factor 296,981,768 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 20/296, 40/981, 525/768

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 20/296, 40/981, 525/768?

Answer: LCM of Numerators as per given numbers 20/296, 40/981, 525/768 is

LCM of Numerators i.e. for 20,40,525 is 4200

GCF of denominators i.e. for 296,981,768 is 1.

Thus, LCM of Fractions is 4200.Finally, LCM of Fractions for 20/296, 40/981, 525/768 is 4200.