Least Common Multiple of 996/876, 9171/272

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 996/876, 9171/272 quickly i.e. 761193 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 996/876, 9171/272 is 761193.

LCM(996/876, 9171/272) = 761193

LCM of 996/876, 9171/272

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 996/876,9171/272

Given numbers are 996/876,9171/272

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 996,9171

Least Common Multiple of Numerators i.e. LCM of 996,9171 is 3044772.

GCF of Denominators means GCF of 876,272 as per the given fractions.

GCF of 876,272 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 996,9171

LCM of Fractions 996/876,9171/272 is 761193

3 996, 9171
332, 3057

∴ So the LCM of the given numbers is 3 x 332 x 3057 = 3044772

Least Common Multiple of 996,9171 with GCF Formula

Least Common Multiple of 996,9171 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 996,9171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(996,9171) = 3

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

GCF(996,9171) x common factors =3 x 1 = 3

LCM(996,9171) = ( 996 × 9171 ) / 3

LCM(996,9171) = 9134316 / 3

LCM(996,9171) = 3044772


Lets's calculate GCF of 876,272

2 876, 272
2 438, 136
219, 68

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3044772/4

Therefore the LCM of Fractions 996/876,9171/272 is 761193

Greatest Common Factor of 876,272 By Matching Biggest Common Factor Method

Greatest Common Factor of 876,272 By Matching Biggest Common Factor Method

Factors of 876

List of positive integer factors of 876 that divides 876 without a remainder.

1,2,3,4,6,12,73,146,219,292,438,876

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Greatest Common Factor

We found the factors 876,272 . The biggest common factor number is the GCF number.
So the greatest common factor 876,272 is 4.


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 996/876, 9171/272

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 996/876, 9171/272?

Answer: LCM of Numerators as per given numbers 996/876, 9171/272 is

LCM of Numerators i.e. for 996,9171 is 3044772

GCF of denominators i.e. for 876,272 is 4.

Thus, LCM of Fractions is 761193.Finally, LCM of Fractions for 996/876, 9171/272 is 761193.