Least Common Multiple of 6118/272, 8672/7659

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6118/272, 8672/7659 quickly i.e. 26527648 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6118/272, 8672/7659 is 26527648.

LCM(6118/272, 8672/7659) = 26527648

LCM of 6118/272, 8672/7659

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 6118/272,8672/7659

Given numbers are 6118/272,8672/7659

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 6118,8672

Least Common Multiple of Numerators i.e. LCM of 6118,8672 is 26527648.

GCF of Denominators means GCF of 272,7659 as per the given fractions.

GCF of 272,7659 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6118,8672

LCM of Fractions 6118/272,8672/7659 is 26527648

2 6118, 8672
3059, 4336

∴ So the LCM of the given numbers is 2 x 3059 x 4336 = 26527648

Least Common Multiple of 6118,8672 with GCF Formula

Least Common Multiple of 6118,8672 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 6118,8672 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6118,8672) = 2

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

GCF(6118,8672) x common factors =2 x 1 = 2

LCM(6118,8672) = ( 6118 × 8672 ) / 2

LCM(6118,8672) = 53055296 / 2

LCM(6118,8672) = 26527648


Lets's calculate GCF of 272,7659

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 26527648/1

Therefore the LCM of Fractions 6118/272,8672/7659 is 26527648

Greatest Common Factor of 272,7659 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,7659 By Matching Biggest Common Factor Method

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

Factors of 7659

List of positive integer factors of 7659 that divides 7659 without a remainder.

1,3,9,23,37,69,111,207,333,851,2553,7659

Greatest Common Factor

We found the factors 272,7659 . The biggest common factor number is the GCF number.
So the greatest common factor 272,7659 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 6118/272, 8672/7659

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 6118/272, 8672/7659?

Answer: LCM of Numerators as per given numbers 6118/272, 8672/7659 is

LCM of Numerators i.e. for 6118,8672 is 26527648

GCF of denominators i.e. for 272,7659 is 1.

Thus, LCM of Fractions is 26527648.Finally, LCM of Fractions for 6118/272, 8672/7659 is 26527648.