Least Common Multiple of 83/920, 72/157, 949/113

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/920, 72/157, 949/113 quickly i.e. 5671224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/920, 72/157, 949/113 is 5671224.

LCM(83/920, 72/157, 949/113) = 5671224

LCM of 83/920, 72/157, 949/113

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 83/920,72/157,949/113

Given numbers are 83/920,72/157,949/113

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 83,72,949

Least Common Multiple of Numerators i.e. LCM of 83,72,949 is 5671224.

GCF of Denominators means GCF of 920,157,113 as per the given fractions.

GCF of 920,157,113 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,72,949

LCM of Fractions 83/920,72/157,949/113 is 5671224

Given numbers has no common factors except 1. So, there LCM is their product i.e 5671224

Least Common Multiple of 83,72,949 with GCF Formula

Least Common Multiple of 83,72,949 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 83,72,949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,72,949) = 1

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

GCF(83,72,949) x common factors =1 x 1 = 1

LCM(83,72,949) = ( 83 × 72 × 949 ) / 1

LCM(83,72,949) = 5671224 / 1

LCM(83,72,949) = 5671224


Lets's calculate GCF of 920,157,113

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5671224/1

Therefore the LCM of Fractions 83/920,72/157,949/113 is 5671224

Greatest Common Factor of 920,157,113 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,157,113 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 157

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

1,157

Factors of 113

List of positive integer factors of 113 that divides 113 without a remainder.

1,113

Greatest Common Factor

We found the factors 920,157,113 . The biggest common factor number is the GCF number.
So the greatest common factor 920,157,113 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 83/920, 72/157, 949/113

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 83/920, 72/157, 949/113?

Answer: LCM of Numerators as per given numbers 83/920, 72/157, 949/113 is

LCM of Numerators i.e. for 83,72,949 is 5671224

GCF of denominators i.e. for 920,157,113 is 1.

Thus, LCM of Fractions is 5671224.Finally, LCM of Fractions for 83/920, 72/157, 949/113 is 5671224.