Least Common Multiple of 486/917, 131/150, 317/157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 486/917, 131/150, 317/157 quickly i.e. 20182122 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 486/917, 131/150, 317/157 is 20182122.

LCM(486/917, 131/150, 317/157) = 20182122

LCM of 486/917, 131/150, 317/157

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 486/917,131/150,317/157

Given numbers are 486/917,131/150,317/157

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 486,131,317

Least Common Multiple of Numerators i.e. LCM of 486,131,317 is 20182122.

GCF of Denominators means GCF of 917,150,157 as per the given fractions.

GCF of 917,150,157 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 486,131,317

LCM of Fractions 486/917,131/150,317/157 is 20182122

Given numbers has no common factors except 1. So, there LCM is their product i.e 20182122

Least Common Multiple of 486,131,317 with GCF Formula

Least Common Multiple of 486,131,317 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 486,131,317 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,131,317) = 1

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

GCF(486,131,317) x common factors =1 x 1 = 1

LCM(486,131,317) = ( 486 × 131 × 317 ) / 1

LCM(486,131,317) = 20182122 / 1

LCM(486,131,317) = 20182122


Lets's calculate GCF of 917,150,157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20182122/1

Therefore the LCM of Fractions 486/917,131/150,317/157 is 20182122

Greatest Common Factor of 917,150,157 By Matching Biggest Common Factor Method

Greatest Common Factor of 917,150,157 By Matching Biggest Common Factor Method

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 157

List of positive integer factors of 157 that divides 157 without a remainder.

1,157

Greatest Common Factor

We found the factors 917,150,157 . The biggest common factor number is the GCF number.
So the greatest common factor 917,150,157 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 486/917, 131/150, 317/157

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 486/917, 131/150, 317/157?

Answer: LCM of Numerators as per given numbers 486/917, 131/150, 317/157 is

LCM of Numerators i.e. for 486,131,317 is 20182122

GCF of denominators i.e. for 917,150,157 is 1.

Thus, LCM of Fractions is 20182122.Finally, LCM of Fractions for 486/917, 131/150, 317/157 is 20182122.