Least Common Multiple of 21/97, 90/59, 50/75, 96/161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/97, 90/59, 50/75, 96/161 quickly i.e. 50400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/97, 90/59, 50/75, 96/161 is 50400.

LCM(21/97, 90/59, 50/75, 96/161) = 50400

LCM of 21/97, 90/59, 50/75, 96/161

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 21/97,90/59,50/75,96/161

Given numbers are 21/97,90/59,50/75,96/161

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 21,90,50,96

Least Common Multiple of Numerators i.e. LCM of 21,90,50,96 is 50400.

GCF of Denominators means GCF of 97,59,75,161 as per the given fractions.

GCF of 97,59,75,161 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,90,50,96

LCM of Fractions 21/97,90/59,50/75,96/161 is 50400

2 21, 90, 50, 96
3 21, 45, 25, 48
5 7, 15, 25, 16
7, 3, 5, 16

∴ So the LCM of the given numbers is 2 x 3 x 5 x 7 x 3 x 5 x 16 = 50400

Least Common Multiple of 21,90,50,96 with GCF Formula

Least Common Multiple of 21,90,50,96 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 21,90,50,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,90,50,96) = 1

common factors(in case of two or more numbers have common factors) = 180

GCF(21,90,50,96) x common factors =1 x 180 = 180

LCM(21,90,50,96) = ( 21 × 90 × 50 × 96 ) / 180

LCM(21,90,50,96) = 9072000 / 180

LCM(21,90,50,96) = 50400


Lets's calculate GCF of 97,59,75,161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50400/1

Therefore the LCM of Fractions 21/97,90/59,50/75,96/161 is 50400

Greatest Common Factor of 97,59,75,161 By Matching Biggest Common Factor Method

Greatest Common Factor of 97,59,75,161 By Matching Biggest Common Factor Method

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 59

List of positive integer factors of 59 that divides 59 without a remainder.

1,59

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Greatest Common Factor

We found the factors 97,59,75,161 . The biggest common factor number is the GCF number.
So the greatest common factor 97,59,75,161 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 21/97, 90/59, 50/75, 96/161

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 21/97, 90/59, 50/75, 96/161?

Answer: LCM of Numerators as per given numbers 21/97, 90/59, 50/75, 96/161 is

LCM of Numerators i.e. for 21,90,50,96 is 50400

GCF of denominators i.e. for 97,59,75,161 is 1.

Thus, LCM of Fractions is 50400.Finally, LCM of Fractions for 21/97, 90/59, 50/75, 96/161 is 50400.