Least Common Multiple of 287/267, 7917/8772

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 287/267, 7917/8772 quickly i.e. 108199 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 287/267, 7917/8772 is 108199.

LCM(287/267, 7917/8772) = 108199

LCM of 287/267, 7917/8772

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 287/267,7917/8772

Given numbers are 287/267,7917/8772

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 287,7917

Least Common Multiple of Numerators i.e. LCM of 287,7917 is 324597.

GCF of Denominators means GCF of 267,8772 as per the given fractions.

GCF of 267,8772 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 287,7917

LCM of Fractions 287/267,7917/8772 is 108199

7 287, 7917
41, 1131

∴ So the LCM of the given numbers is 7 x 41 x 1131 = 324597

Least Common Multiple of 287,7917 with GCF Formula

Least Common Multiple of 287,7917 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 287,7917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(287,7917) = 7

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

GCF(287,7917) x common factors =7 x 1 = 7

LCM(287,7917) = ( 287 × 7917 ) / 7

LCM(287,7917) = 2272179 / 7

LCM(287,7917) = 324597


Lets's calculate GCF of 267,8772

3 267, 8772
89, 2924

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 324597/3

Therefore the LCM of Fractions 287/267,7917/8772 is 108199

Greatest Common Factor of 267,8772 By Matching Biggest Common Factor Method

Greatest Common Factor of 267,8772 By Matching Biggest Common Factor Method

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Factors of 8772

List of positive integer factors of 8772 that divides 8772 without a remainder.

1,2,3,4,6,12,17,34,43,51,68,86,102,129,172,204,258,516,731,1462,2193,2924,4386,8772

Greatest Common Factor

We found the factors 267,8772 . The biggest common factor number is the GCF number.
So the greatest common factor 267,8772 is 3.


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 287/267, 7917/8772

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 287/267, 7917/8772?

Answer: LCM of Numerators as per given numbers 287/267, 7917/8772 is

LCM of Numerators i.e. for 287,7917 is 324597

GCF of denominators i.e. for 267,8772 is 3.

Thus, LCM of Fractions is 108199.Finally, LCM of Fractions for 287/267, 7917/8772 is 108199.