Least Common Multiple of 20/73, 31/72, 158/870

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/73, 31/72, 158/870 quickly i.e. 48980 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/73, 31/72, 158/870 is 48980.

LCM(20/73, 31/72, 158/870) = 48980

LCM of 20/73, 31/72, 158/870

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 20/73,31/72,158/870

Given numbers are 20/73,31/72,158/870

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 20,31,158

Least Common Multiple of Numerators i.e. LCM of 20,31,158 is 48980.

GCF of Denominators means GCF of 73,72,870 as per the given fractions.

GCF of 73,72,870 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,31,158

LCM of Fractions 20/73,31/72,158/870 is 48980

2 20, 31, 158
10, 31, 79

∴ So the LCM of the given numbers is 2 x 10 x 31 x 79 = 48980

Least Common Multiple of 20,31,158 with GCF Formula

Least Common Multiple of 20,31,158 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 20,31,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,31,158) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(20,31,158) x common factors =1 x 2 = 2

LCM(20,31,158) = ( 20 × 31 × 158 ) / 2

LCM(20,31,158) = 97960 / 2

LCM(20,31,158) = 48980


Lets's calculate GCF of 73,72,870

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48980/1

Therefore the LCM of Fractions 20/73,31/72,158/870 is 48980

Greatest Common Factor of 73,72,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,72,870 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

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 870

List of positive integer factors of 870 that divides 870 without a remainder.

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 73,72,870 . The biggest common factor number is the GCF number.
So the greatest common factor 73,72,870 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 20/73, 31/72, 158/870

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 20/73, 31/72, 158/870?

Answer: LCM of Numerators as per given numbers 20/73, 31/72, 158/870 is

LCM of Numerators i.e. for 20,31,158 is 48980

GCF of denominators i.e. for 73,72,870 is 1.

Thus, LCM of Fractions is 48980.Finally, LCM of Fractions for 20/73, 31/72, 158/870 is 48980.