Least Common Multiple of 97/28, 52/20, 52/55, 50/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/28, 52/20, 52/55, 50/326 quickly i.e. 126100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/28, 52/20, 52/55, 50/326 is 126100.

LCM(97/28, 52/20, 52/55, 50/326) = 126100

LCM of 97/28, 52/20, 52/55, 50/326

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 97/28,52/20,52/55,50/326

Given numbers are 97/28,52/20,52/55,50/326

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 97,52,52,50

Least Common Multiple of Numerators i.e. LCM of 97,52,52,50 is 126100.

GCF of Denominators means GCF of 28,20,55,326 as per the given fractions.

GCF of 28,20,55,326 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,52,52,50

LCM of Fractions 97/28,52/20,52/55,50/326 is 126100

2 97, 52, 52, 50
2 97, 26, 26, 25
13 97, 13, 13, 25
97, 1, 1, 25

∴ So the LCM of the given numbers is 2 x 2 x 13 x 97 x 1 x 1 x 25 = 126100

Least Common Multiple of 97,52,52,50 with GCF Formula

Least Common Multiple of 97,52,52,50 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 97,52,52,50 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,52,52,50) = 1

common factors(in case of two or more numbers have common factors) = 104

GCF(97,52,52,50) x common factors =1 x 104 = 104

LCM(97,52,52,50) = ( 97 × 52 × 52 × 50 ) / 104

LCM(97,52,52,50) = 13114400 / 104

LCM(97,52,52,50) = 126100


Lets's calculate GCF of 28,20,55,326

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 126100/1

Therefore the LCM of Fractions 97/28,52/20,52/55,50/326 is 126100

Greatest Common Factor of 28,20,55,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,20,55,326 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 28,20,55,326 . The biggest common factor number is the GCF number.
So the greatest common factor 28,20,55,326 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 97/28, 52/20, 52/55, 50/326

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 97/28, 52/20, 52/55, 50/326?

Answer: LCM of Numerators as per given numbers 97/28, 52/20, 52/55, 50/326 is

LCM of Numerators i.e. for 97,52,52,50 is 126100

GCF of denominators i.e. for 28,20,55,326 is 1.

Thus, LCM of Fractions is 126100.Finally, LCM of Fractions for 97/28, 52/20, 52/55, 50/326 is 126100.