Least Common Multiple of 79/242, 158/99, 604/971

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 79/242, 158/99, 604/971 quickly i.e. 47716 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 79/242, 158/99, 604/971 is 47716.

LCM(79/242, 158/99, 604/971) = 47716

LCM of 79/242, 158/99, 604/971

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 79/242,158/99,604/971

Given numbers are 79/242,158/99,604/971

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 79,158,604

Least Common Multiple of Numerators i.e. LCM of 79,158,604 is 47716.

GCF of Denominators means GCF of 242,99,971 as per the given fractions.

GCF of 242,99,971 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 79,158,604

LCM of Fractions 79/242,158/99,604/971 is 47716

2 79, 158, 604
79 79, 79, 302
1, 1, 302

∴ So the LCM of the given numbers is 2 x 79 x 1 x 1 x 302 = 47716

Least Common Multiple of 79,158,604 with GCF Formula

Least Common Multiple of 79,158,604 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 79,158,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(79,158,604) = 1

common factors(in case of two or more numbers have common factors) = 158

GCF(79,158,604) x common factors =1 x 158 = 158

LCM(79,158,604) = ( 79 × 158 × 604 ) / 158

LCM(79,158,604) = 7539128 / 158

LCM(79,158,604) = 47716


Lets's calculate GCF of 242,99,971

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47716/1

Therefore the LCM of Fractions 79/242,158/99,604/971 is 47716

Greatest Common Factor of 242,99,971 By Matching Biggest Common Factor Method

Greatest Common Factor of 242,99,971 By Matching Biggest Common Factor Method

Factors of 242

List of positive integer factors of 242 that divides 242 without a remainder.

1,2,11,22,121,242

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 971

List of positive integer factors of 971 that divides 971 without a remainder.

1,971

Greatest Common Factor

We found the factors 242,99,971 . The biggest common factor number is the GCF number.
So the greatest common factor 242,99,971 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 79/242, 158/99, 604/971

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 79/242, 158/99, 604/971?

Answer: LCM of Numerators as per given numbers 79/242, 158/99, 604/971 is

LCM of Numerators i.e. for 79,158,604 is 47716

GCF of denominators i.e. for 242,99,971 is 1.

Thus, LCM of Fractions is 47716.Finally, LCM of Fractions for 79/242, 158/99, 604/971 is 47716.