Least Common Multiple of 91/36, 64/787, 976/464

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/36, 64/787, 976/464 quickly i.e. 355264 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/36, 64/787, 976/464 is 355264.

LCM(91/36, 64/787, 976/464) = 355264

LCM of 91/36, 64/787, 976/464

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 91/36,64/787,976/464

Given numbers are 91/36,64/787,976/464

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 91,64,976

Least Common Multiple of Numerators i.e. LCM of 91,64,976 is 355264.

GCF of Denominators means GCF of 36,787,464 as per the given fractions.

GCF of 36,787,464 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,64,976

LCM of Fractions 91/36,64/787,976/464 is 355264

2 91, 64, 976
2 91, 32, 488
2 91, 16, 244
2 91, 8, 122
91, 4, 61

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 91 x 4 x 61 = 355264

Least Common Multiple of 91,64,976 with GCF Formula

Least Common Multiple of 91,64,976 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 91,64,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,64,976) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(91,64,976) x common factors =1 x 16 = 16

LCM(91,64,976) = ( 91 × 64 × 976 ) / 16

LCM(91,64,976) = 5684224 / 16

LCM(91,64,976) = 355264


Lets's calculate GCF of 36,787,464

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 355264/1

Therefore the LCM of Fractions 91/36,64/787,976/464 is 355264

Greatest Common Factor of 36,787,464 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,787,464 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Greatest Common Factor

We found the factors 36,787,464 . The biggest common factor number is the GCF number.
So the greatest common factor 36,787,464 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 91/36, 64/787, 976/464

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 91/36, 64/787, 976/464?

Answer: LCM of Numerators as per given numbers 91/36, 64/787, 976/464 is

LCM of Numerators i.e. for 91,64,976 is 355264

GCF of denominators i.e. for 36,787,464 is 1.

Thus, LCM of Fractions is 355264.Finally, LCM of Fractions for 91/36, 64/787, 976/464 is 355264.