Least Common Multiple of 24/185, 91/906, 131/418

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/185, 91/906, 131/418 quickly i.e. 286104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/185, 91/906, 131/418 is 286104.

LCM(24/185, 91/906, 131/418) = 286104

LCM of 24/185, 91/906, 131/418

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 24/185,91/906,131/418

Given numbers are 24/185,91/906,131/418

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 24,91,131

Least Common Multiple of Numerators i.e. LCM of 24,91,131 is 286104.

GCF of Denominators means GCF of 185,906,418 as per the given fractions.

GCF of 185,906,418 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,91,131

LCM of Fractions 24/185,91/906,131/418 is 286104

Given numbers has no common factors except 1. So, there LCM is their product i.e 286104

Least Common Multiple of 24,91,131 with GCF Formula

Least Common Multiple of 24,91,131 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 24,91,131 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,91,131) = 1

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

GCF(24,91,131) x common factors =1 x 1 = 1

LCM(24,91,131) = ( 24 × 91 × 131 ) / 1

LCM(24,91,131) = 286104 / 1

LCM(24,91,131) = 286104


Lets's calculate GCF of 185,906,418

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 286104/1

Therefore the LCM of Fractions 24/185,91/906,131/418 is 286104

Greatest Common Factor of 185,906,418 By Matching Biggest Common Factor Method

Greatest Common Factor of 185,906,418 By Matching Biggest Common Factor Method

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Greatest Common Factor

We found the factors 185,906,418 . The biggest common factor number is the GCF number.
So the greatest common factor 185,906,418 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 24/185, 91/906, 131/418

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 24/185, 91/906, 131/418?

Answer: LCM of Numerators as per given numbers 24/185, 91/906, 131/418 is

LCM of Numerators i.e. for 24,91,131 is 286104

GCF of denominators i.e. for 185,906,418 is 1.

Thus, LCM of Fractions is 286104.Finally, LCM of Fractions for 24/185, 91/906, 131/418 is 286104.