Least Common Multiple of 968/96, 6611/872

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 968/96, 6611/872 quickly i.e. 72721 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 968/96, 6611/872 is 72721.

LCM(968/96, 6611/872) = 72721

LCM of 968/96, 6611/872

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 968/96,6611/872

Given numbers are 968/96,6611/872

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 968,6611

Least Common Multiple of Numerators i.e. LCM of 968,6611 is 581768.

GCF of Denominators means GCF of 96,872 as per the given fractions.

GCF of 96,872 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 968,6611

LCM of Fractions 968/96,6611/872 is 72721

11 968, 6611
88, 601

∴ So the LCM of the given numbers is 11 x 88 x 601 = 581768

Least Common Multiple of 968,6611 with GCF Formula

Least Common Multiple of 968,6611 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 968,6611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(968,6611) = 11

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

GCF(968,6611) x common factors =11 x 1 = 11

LCM(968,6611) = ( 968 × 6611 ) / 11

LCM(968,6611) = 6399448 / 11

LCM(968,6611) = 581768


Lets's calculate GCF of 96,872

2 96, 872
2 48, 436
2 24, 218
12, 109

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 581768/8

Therefore the LCM of Fractions 968/96,6611/872 is 72721

Greatest Common Factor of 96,872 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,872 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 872

List of positive integer factors of 872 that divides 872 without a remainder.

1,2,4,8,109,218,436,872

Greatest Common Factor

We found the factors 96,872 . The biggest common factor number is the GCF number.
So the greatest common factor 96,872 is 8.


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 968/96, 6611/872

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 968/96, 6611/872?

Answer: LCM of Numerators as per given numbers 968/96, 6611/872 is

LCM of Numerators i.e. for 968,6611 is 581768

GCF of denominators i.e. for 96,872 is 8.

Thus, LCM of Fractions is 72721.Finally, LCM of Fractions for 968/96, 6611/872 is 72721.