Least Common Multiple of 99/722, 32/171, 924/771

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 99/722, 32/171, 924/771 quickly i.e. 22176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 99/722, 32/171, 924/771 is 22176.

LCM(99/722, 32/171, 924/771) = 22176

LCM of 99/722, 32/171, 924/771

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 99/722,32/171,924/771

Given numbers are 99/722,32/171,924/771

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 99,32,924

Least Common Multiple of Numerators i.e. LCM of 99,32,924 is 22176.

GCF of Denominators means GCF of 722,171,771 as per the given fractions.

GCF of 722,171,771 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 99,32,924

LCM of Fractions 99/722,32/171,924/771 is 22176

2 99, 32, 924
2 99, 16, 462
3 99, 8, 231
11 33, 8, 77
3, 8, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 11 x 3 x 8 x 7 = 22176

Least Common Multiple of 99,32,924 with GCF Formula

Least Common Multiple of 99,32,924 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 99,32,924 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(99,32,924) = 1

common factors(in case of two or more numbers have common factors) = 132

GCF(99,32,924) x common factors =1 x 132 = 132

LCM(99,32,924) = ( 99 × 32 × 924 ) / 132

LCM(99,32,924) = 2927232 / 132

LCM(99,32,924) = 22176


Lets's calculate GCF of 722,171,771

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22176/1

Therefore the LCM of Fractions 99/722,32/171,924/771 is 22176

Greatest Common Factor of 722,171,771 By Matching Biggest Common Factor Method

Greatest Common Factor of 722,171,771 By Matching Biggest Common Factor Method

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 771

List of positive integer factors of 771 that divides 771 without a remainder.

1,3,257,771

Greatest Common Factor

We found the factors 722,171,771 . The biggest common factor number is the GCF number.
So the greatest common factor 722,171,771 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 99/722, 32/171, 924/771

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 99/722, 32/171, 924/771?

Answer: LCM of Numerators as per given numbers 99/722, 32/171, 924/771 is

LCM of Numerators i.e. for 99,32,924 is 22176

GCF of denominators i.e. for 722,171,771 is 1.

Thus, LCM of Fractions is 22176.Finally, LCM of Fractions for 99/722, 32/171, 924/771 is 22176.