Least Common Multiple of 97/36, 52/378, 726/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/36, 52/378, 726/249 quickly i.e. 610324 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/36, 52/378, 726/249 is 610324.

LCM(97/36, 52/378, 726/249) = 610324

LCM of 97/36, 52/378, 726/249

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 97/36,52/378,726/249

Given numbers are 97/36,52/378,726/249

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 97,52,726

Least Common Multiple of Numerators i.e. LCM of 97,52,726 is 1830972.

GCF of Denominators means GCF of 36,378,249 as per the given fractions.

GCF of 36,378,249 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,52,726

LCM of Fractions 97/36,52/378,726/249 is 610324

2 97, 52, 726
97, 26, 363

∴ So the LCM of the given numbers is 2 x 97 x 26 x 363 = 1830972

Least Common Multiple of 97,52,726 with GCF Formula

Least Common Multiple of 97,52,726 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 97,52,726 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,52,726) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(97,52,726) x common factors =1 x 2 = 2

LCM(97,52,726) = ( 97 × 52 × 726 ) / 2

LCM(97,52,726) = 3661944 / 2

LCM(97,52,726) = 1830972


Lets's calculate GCF of 36,378,249

3 36, 378, 249
12, 126, 83

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1830972/3

Therefore the LCM of Fractions 97/36,52/378,726/249 is 610324

Greatest Common Factor of 36,378,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,378,249 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Greatest Common Factor

We found the factors 36,378,249 . The biggest common factor number is the GCF number.
So the greatest common factor 36,378,249 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 97/36, 52/378, 726/249

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 97/36, 52/378, 726/249?

Answer: LCM of Numerators as per given numbers 97/36, 52/378, 726/249 is

LCM of Numerators i.e. for 97,52,726 is 1830972

GCF of denominators i.e. for 36,378,249 is 3.

Thus, LCM of Fractions is 610324.Finally, LCM of Fractions for 97/36, 52/378, 726/249 is 610324.