Least Common Multiple of 83/22, 20/72, 676/940

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 83/22, 20/72, 676/940 quickly i.e. 140270 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/22, 20/72, 676/940 is 140270.

LCM(83/22, 20/72, 676/940) = 140270

LCM of 83/22, 20/72, 676/940

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 83/22,20/72,676/940

Given numbers are 83/22,20/72,676/940

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 83,20,676

Least Common Multiple of Numerators i.e. LCM of 83,20,676 is 280540.

GCF of Denominators means GCF of 22,72,940 as per the given fractions.

GCF of 22,72,940 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,20,676

LCM of Fractions 83/22,20/72,676/940 is 140270

2 83, 20, 676
2 83, 10, 338
83, 5, 169

∴ So the LCM of the given numbers is 2 x 2 x 83 x 5 x 169 = 280540

Least Common Multiple of 83,20,676 with GCF Formula

Least Common Multiple of 83,20,676 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 83,20,676 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,20,676) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(83,20,676) x common factors =1 x 4 = 4

LCM(83,20,676) = ( 83 × 20 × 676 ) / 4

LCM(83,20,676) = 1122160 / 4

LCM(83,20,676) = 280540


Lets's calculate GCF of 22,72,940

2 22, 72, 940
11, 36, 470

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 280540/2

Therefore the LCM of Fractions 83/22,20/72,676/940 is 140270

Greatest Common Factor of 22,72,940 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,72,940 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 940

List of positive integer factors of 940 that divides 940 without a remainder.

1,2,4,5,10,20,47,94,188,235,470,940

Greatest Common Factor

We found the factors 22,72,940 . The biggest common factor number is the GCF number.
So the greatest common factor 22,72,940 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 83/22, 20/72, 676/940

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 83/22, 20/72, 676/940?

Answer: LCM of Numerators as per given numbers 83/22, 20/72, 676/940 is

LCM of Numerators i.e. for 83,20,676 is 280540

GCF of denominators i.e. for 22,72,940 is 2.

Thus, LCM of Fractions is 140270.Finally, LCM of Fractions for 83/22, 20/72, 676/940 is 140270.