Least Common Multiple of 21/996, 212/131, 160/121

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/996, 212/131, 160/121 quickly i.e. 178080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/996, 212/131, 160/121 is 178080.

LCM(21/996, 212/131, 160/121) = 178080

LCM of 21/996, 212/131, 160/121

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 21/996,212/131,160/121

Given numbers are 21/996,212/131,160/121

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 21,212,160

Least Common Multiple of Numerators i.e. LCM of 21,212,160 is 178080.

GCF of Denominators means GCF of 996,131,121 as per the given fractions.

GCF of 996,131,121 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,212,160

LCM of Fractions 21/996,212/131,160/121 is 178080

2 21, 212, 160
2 21, 106, 80
21, 53, 40

∴ So the LCM of the given numbers is 2 x 2 x 21 x 53 x 40 = 178080

Least Common Multiple of 21,212,160 with GCF Formula

Least Common Multiple of 21,212,160 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 21,212,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,212,160) = 1

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

GCF(21,212,160) x common factors =1 x 4 = 4

LCM(21,212,160) = ( 21 × 212 × 160 ) / 4

LCM(21,212,160) = 712320 / 4

LCM(21,212,160) = 178080


Lets's calculate GCF of 996,131,121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 178080/1

Therefore the LCM of Fractions 21/996,212/131,160/121 is 178080

Greatest Common Factor of 996,131,121 By Matching Biggest Common Factor Method

Greatest Common Factor of 996,131,121 By Matching Biggest Common Factor Method

Factors of 996

List of positive integer factors of 996 that divides 996 without a remainder.

1,2,3,4,6,12,83,166,249,332,498,996

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 121

List of positive integer factors of 121 that divides 121 without a remainder.

1,11,121

Greatest Common Factor

We found the factors 996,131,121 . The biggest common factor number is the GCF number.
So the greatest common factor 996,131,121 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 21/996, 212/131, 160/121

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 21/996, 212/131, 160/121?

Answer: LCM of Numerators as per given numbers 21/996, 212/131, 160/121 is

LCM of Numerators i.e. for 21,212,160 is 178080

GCF of denominators i.e. for 996,131,121 is 1.

Thus, LCM of Fractions is 178080.Finally, LCM of Fractions for 21/996, 212/131, 160/121 is 178080.