Least Common Multiple of 91/24, 12/20, 22/50, 75/492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 91/24, 12/20, 22/50, 75/492 quickly i.e. 150150 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 91/24, 12/20, 22/50, 75/492 is 150150.

LCM(91/24, 12/20, 22/50, 75/492) = 150150

LCM of 91/24, 12/20, 22/50, 75/492

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 91/24,12/20,22/50,75/492

Given numbers are 91/24,12/20,22/50,75/492

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 91,12,22,75

Least Common Multiple of Numerators i.e. LCM of 91,12,22,75 is 300300.

GCF of Denominators means GCF of 24,20,50,492 as per the given fractions.

GCF of 24,20,50,492 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 91,12,22,75

LCM of Fractions 91/24,12/20,22/50,75/492 is 150150

2 91, 12, 22, 75
3 91, 6, 11, 75
91, 2, 11, 25

∴ So the LCM of the given numbers is 2 x 3 x 91 x 2 x 11 x 25 = 300300

Least Common Multiple of 91,12,22,75 with GCF Formula

Least Common Multiple of 91,12,22,75 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 91,12,22,75 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,12,22,75) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(91,12,22,75) x common factors =1 x 6 = 6

LCM(91,12,22,75) = ( 91 × 12 × 22 × 75 ) / 6

LCM(91,12,22,75) = 1801800 / 6

LCM(91,12,22,75) = 300300


Lets's calculate GCF of 24,20,50,492

2 24, 20, 50, 492
12, 10, 25, 246

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 300300/2

Therefore the LCM of Fractions 91/24,12/20,22/50,75/492 is 150150

Greatest Common Factor of 24,20,50,492 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,20,50,492 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 50

List of positive integer factors of 50 that divides 50 without a remainder.

1,2,5,10,25,50

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Greatest Common Factor

We found the factors 24,20,50,492 . The biggest common factor number is the GCF number.
So the greatest common factor 24,20,50,492 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 91/24, 12/20, 22/50, 75/492

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 91/24, 12/20, 22/50, 75/492?

Answer: LCM of Numerators as per given numbers 91/24, 12/20, 22/50, 75/492 is

LCM of Numerators i.e. for 91,12,22,75 is 300300

GCF of denominators i.e. for 24,20,50,492 is 2.

Thus, LCM of Fractions is 150150.Finally, LCM of Fractions for 91/24, 12/20, 22/50, 75/492 is 150150.