Least Common Multiple of 91/926, 64/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 91/926, 64/728 quickly i.e. 2912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/926, 64/728 is 2912.

LCM(91/926, 64/728) = 2912

LCM of 91/926, 64/728

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 91/926,64/728

Given numbers are 91/926,64/728

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 91,64

Least Common Multiple of Numerators i.e. LCM of 91,64 is 5824.

GCF of Denominators means GCF of 926,728 as per the given fractions.

GCF of 926,728 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,64

LCM of Fractions 91/926,64/728 is 2912

Given numbers has no common factors except 1. So, there LCM is their product i.e 5824

Least Common Multiple of 91,64 with GCF Formula

Least Common Multiple of 91,64 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 91,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,64) = 1

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

GCF(91,64) x common factors =1 x 1 = 1

LCM(91,64) = ( 91 × 64 ) / 1

LCM(91,64) = 5824 / 1

LCM(91,64) = 5824


Lets's calculate GCF of 926,728

2 926, 728
463, 364

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5824/2

Therefore the LCM of Fractions 91/926,64/728 is 2912

Greatest Common Factor of 926,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 926,728 By Matching Biggest Common Factor Method

Factors of 926

List of positive integer factors of 926 that divides 926 without a remainder.

1,2,463,926

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 926,728 . The biggest common factor number is the GCF number.
So the greatest common factor 926,728 is 2.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 91/926, 64/728

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 91/926, 64/728?

Answer: LCM of Numerators as per given numbers 91/926, 64/728 is

LCM of Numerators i.e. for 91,64 is 5824

GCF of denominators i.e. for 926,728 is 2.

Thus, LCM of Fractions is 2912.Finally, LCM of Fractions for 91/926, 64/728 is 2912.