Least Common Multiple of 8767/109, 7760/5933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8767/109, 7760/5933 quickly i.e. 68031920 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8767/109, 7760/5933 is 68031920.

LCM(8767/109, 7760/5933) = 68031920

LCM of 8767/109, 7760/5933

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 8767/109,7760/5933

Given numbers are 8767/109,7760/5933

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 8767,7760

Least Common Multiple of Numerators i.e. LCM of 8767,7760 is 68031920.

GCF of Denominators means GCF of 109,5933 as per the given fractions.

GCF of 109,5933 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8767,7760

LCM of Fractions 8767/109,7760/5933 is 68031920

Given numbers has no common factors except 1. So, there LCM is their product i.e 68031920

Least Common Multiple of 8767,7760 with GCF Formula

Least Common Multiple of 8767,7760 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 8767,7760 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8767,7760) = 1

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

GCF(8767,7760) x common factors =1 x 1 = 1

LCM(8767,7760) = ( 8767 × 7760 ) / 1

LCM(8767,7760) = 68031920 / 1

LCM(8767,7760) = 68031920


Lets's calculate GCF of 109,5933

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68031920/1

Therefore the LCM of Fractions 8767/109,7760/5933 is 68031920

Greatest Common Factor of 109,5933 By Matching Biggest Common Factor Method

Greatest Common Factor of 109,5933 By Matching Biggest Common Factor Method

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Factors of 5933

List of positive integer factors of 5933 that divides 5933 without a remainder.

1,17,349,5933

Greatest Common Factor

We found the factors 109,5933 . The biggest common factor number is the GCF number.
So the greatest common factor 109,5933 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 8767/109, 7760/5933

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 8767/109, 7760/5933?

Answer: LCM of Numerators as per given numbers 8767/109, 7760/5933 is

LCM of Numerators i.e. for 8767,7760 is 68031920

GCF of denominators i.e. for 109,5933 is 1.

Thus, LCM of Fractions is 68031920.Finally, LCM of Fractions for 8767/109, 7760/5933 is 68031920.