Least Common Multiple of 91/26, 26/252, 537/960

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/26, 26/252, 537/960 quickly i.e. 48867 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/26, 26/252, 537/960 is 48867.

LCM(91/26, 26/252, 537/960) = 48867

LCM of 91/26, 26/252, 537/960

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 91/26,26/252,537/960

Given numbers are 91/26,26/252,537/960

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 91,26,537

Least Common Multiple of Numerators i.e. LCM of 91,26,537 is 97734.

GCF of Denominators means GCF of 26,252,960 as per the given fractions.

GCF of 26,252,960 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,26,537

LCM of Fractions 91/26,26/252,537/960 is 48867

13 91, 26, 537
7, 2, 537

∴ So the LCM of the given numbers is 13 x 7 x 2 x 537 = 97734

Least Common Multiple of 91,26,537 with GCF Formula

Least Common Multiple of 91,26,537 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 91,26,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,26,537) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(91,26,537) x common factors =1 x 13 = 13

LCM(91,26,537) = ( 91 × 26 × 537 ) / 13

LCM(91,26,537) = 1270542 / 13

LCM(91,26,537) = 97734


Lets's calculate GCF of 26,252,960

2 26, 252, 960
13, 126, 480

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97734/2

Therefore the LCM of Fractions 91/26,26/252,537/960 is 48867

Greatest Common Factor of 26,252,960 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,252,960 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 960

List of positive integer factors of 960 that divides 960 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960

Greatest Common Factor

We found the factors 26,252,960 . The biggest common factor number is the GCF number.
So the greatest common factor 26,252,960 is 2.


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 91/26, 26/252, 537/960

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 91/26, 26/252, 537/960?

Answer: LCM of Numerators as per given numbers 91/26, 26/252, 537/960 is

LCM of Numerators i.e. for 91,26,537 is 97734

GCF of denominators i.e. for 26,252,960 is 2.

Thus, LCM of Fractions is 48867.Finally, LCM of Fractions for 91/26, 26/252, 537/960 is 48867.