Least Common Multiple of 77/724, 916/372, 171/855

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 77/724, 916/372, 171/855 quickly i.e. 12060972 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 77/724, 916/372, 171/855 is 12060972.

LCM(77/724, 916/372, 171/855) = 12060972

LCM of 77/724, 916/372, 171/855

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 77/724,916/372,171/855

Given numbers are 77/724,916/372,171/855

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 77,916,171

Least Common Multiple of Numerators i.e. LCM of 77,916,171 is 12060972.

GCF of Denominators means GCF of 724,372,855 as per the given fractions.

GCF of 724,372,855 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 77,916,171

LCM of Fractions 77/724,916/372,171/855 is 12060972

Given numbers has no common factors except 1. So, there LCM is their product i.e 12060972

Least Common Multiple of 77,916,171 with GCF Formula

Least Common Multiple of 77,916,171 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 77,916,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,916,171) = 1

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

GCF(77,916,171) x common factors =1 x 1 = 1

LCM(77,916,171) = ( 77 × 916 × 171 ) / 1

LCM(77,916,171) = 12060972 / 1

LCM(77,916,171) = 12060972


Lets's calculate GCF of 724,372,855

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12060972/1

Therefore the LCM of Fractions 77/724,916/372,171/855 is 12060972

Greatest Common Factor of 724,372,855 By Matching Biggest Common Factor Method

Greatest Common Factor of 724,372,855 By Matching Biggest Common Factor Method

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Greatest Common Factor

We found the factors 724,372,855 . The biggest common factor number is the GCF number.
So the greatest common factor 724,372,855 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 77/724, 916/372, 171/855

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 77/724, 916/372, 171/855?

Answer: LCM of Numerators as per given numbers 77/724, 916/372, 171/855 is

LCM of Numerators i.e. for 77,916,171 is 12060972

GCF of denominators i.e. for 724,372,855 is 1.

Thus, LCM of Fractions is 12060972.Finally, LCM of Fractions for 77/724, 916/372, 171/855 is 12060972.