Least Common Multiple of 7242/375, 5359/3775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7242/375, 5359/3775 quickly i.e. 38809878/25 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7242/375, 5359/3775 is 38809878/25.

LCM(7242/375, 5359/3775) = 38809878/25

LCM of 7242/375, 5359/3775

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 7242/375,5359/3775

Given numbers are 7242/375,5359/3775

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 7242,5359

Least Common Multiple of Numerators i.e. LCM of 7242,5359 is 38809878.

GCF of Denominators means GCF of 375,3775 as per the given fractions.

GCF of 375,3775 is 25 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7242,5359

LCM of Fractions 7242/375,5359/3775 is 38809878/25

Given numbers has no common factors except 1. So, there LCM is their product i.e 38809878

Least Common Multiple of 7242,5359 with GCF Formula

Least Common Multiple of 7242,5359 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 7242,5359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7242,5359) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(7242,5359) x common factors =1 x 1 = 1

LCM(7242,5359) = ( 7242 × 5359 ) / 1

LCM(7242,5359) = 38809878 / 1

LCM(7242,5359) = 38809878


Lets's calculate GCF of 375,3775

5 375, 3775
5 75, 755
15, 151

∴ So the GCF of the given numbers is 5 x 5 = 25

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38809878/25

Therefore the LCM of Fractions 7242/375,5359/3775 is 38809878/25

Greatest Common Factor of 375,3775 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,3775 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 3775

List of positive integer factors of 3775 that divides 3775 without a remainder.

1,5,25,151,755,3775

Greatest Common Factor

We found the factors 375,3775 . The biggest common factor number is the GCF number.
So the greatest common factor 375,3775 is 25.


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 7242/375, 5359/3775

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 7242/375, 5359/3775?

Answer: LCM of Numerators as per given numbers 7242/375, 5359/3775 is

LCM of Numerators i.e. for 7242,5359 is 38809878

GCF of denominators i.e. for 375,3775 is 25.

Thus, LCM of Fractions is 38809878/25.Finally, LCM of Fractions for 7242/375, 5359/3775 is 38809878/25.