Least Common Multiple of 53/327, 20/981, 100/942

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/327, 20/981, 100/942 quickly i.e. 5300/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/327, 20/981, 100/942 is 5300/3.

LCM(53/327, 20/981, 100/942) = 5300/3

LCM of 53/327, 20/981, 100/942

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 53/327,20/981,100/942

Given numbers are 53/327,20/981,100/942

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 53,20,100

Least Common Multiple of Numerators i.e. LCM of 53,20,100 is 5300.

GCF of Denominators means GCF of 327,981,942 as per the given fractions.

GCF of 327,981,942 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,20,100

LCM of Fractions 53/327,20/981,100/942 is 5300/3

2 53, 20, 100
2 53, 10, 50
5 53, 5, 25
53, 1, 5

∴ So the LCM of the given numbers is 2 x 2 x 5 x 53 x 1 x 5 = 5300

Least Common Multiple of 53,20,100 with GCF Formula

Least Common Multiple of 53,20,100 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 53,20,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,20,100) = 1

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

GCF(53,20,100) x common factors =1 x 20 = 20

LCM(53,20,100) = ( 53 × 20 × 100 ) / 20

LCM(53,20,100) = 106000 / 20

LCM(53,20,100) = 5300


Lets's calculate GCF of 327,981,942

3 327, 981, 942
109, 327, 314

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5300/3

Therefore the LCM of Fractions 53/327,20/981,100/942 is 5300/3

Greatest Common Factor of 327,981,942 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,981,942 By Matching Biggest Common Factor Method

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 981

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

1,3,9,109,327,981

Factors of 942

List of positive integer factors of 942 that divides 942 without a remainder.

1,2,3,6,157,314,471,942

Greatest Common Factor

We found the factors 327,981,942 . The biggest common factor number is the GCF number.
So the greatest common factor 327,981,942 is 3.


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 53/327, 20/981, 100/942

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 53/327, 20/981, 100/942?

Answer: LCM of Numerators as per given numbers 53/327, 20/981, 100/942 is

LCM of Numerators i.e. for 53,20,100 is 5300

GCF of denominators i.e. for 327,981,942 is 3.

Thus, LCM of Fractions is 5300/3.Finally, LCM of Fractions for 53/327, 20/981, 100/942 is 5300/3.