Least Common Multiple of 48/107, 971/576, 242/661

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/107, 971/576, 242/661 quickly i.e. 5639568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/107, 971/576, 242/661 is 5639568.

LCM(48/107, 971/576, 242/661) = 5639568

LCM of 48/107, 971/576, 242/661

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 48/107,971/576,242/661

Given numbers are 48/107,971/576,242/661

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 48,971,242

Least Common Multiple of Numerators i.e. LCM of 48,971,242 is 5639568.

GCF of Denominators means GCF of 107,576,661 as per the given fractions.

GCF of 107,576,661 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,971,242

LCM of Fractions 48/107,971/576,242/661 is 5639568

2 48, 971, 242
24, 971, 121

∴ So the LCM of the given numbers is 2 x 24 x 971 x 121 = 5639568

Least Common Multiple of 48,971,242 with GCF Formula

Least Common Multiple of 48,971,242 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 48,971,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,971,242) = 1

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

GCF(48,971,242) x common factors =1 x 2 = 2

LCM(48,971,242) = ( 48 × 971 × 242 ) / 2

LCM(48,971,242) = 11279136 / 2

LCM(48,971,242) = 5639568


Lets's calculate GCF of 107,576,661

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5639568/1

Therefore the LCM of Fractions 48/107,971/576,242/661 is 5639568

Greatest Common Factor of 107,576,661 By Matching Biggest Common Factor Method

Greatest Common Factor of 107,576,661 By Matching Biggest Common Factor Method

Factors of 107

List of positive integer factors of 107 that divides 107 without a remainder.

1,107

Factors of 576

List of positive integer factors of 576 that divides 576 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,64,72,96,144,192,288,576

Factors of 661

List of positive integer factors of 661 that divides 661 without a remainder.

1,661

Greatest Common Factor

We found the factors 107,576,661 . The biggest common factor number is the GCF number.
So the greatest common factor 107,576,661 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 48/107, 971/576, 242/661

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 48/107, 971/576, 242/661?

Answer: LCM of Numerators as per given numbers 48/107, 971/576, 242/661 is

LCM of Numerators i.e. for 48,971,242 is 5639568

GCF of denominators i.e. for 107,576,661 is 1.

Thus, LCM of Fractions is 5639568.Finally, LCM of Fractions for 48/107, 971/576, 242/661 is 5639568.