Least Common Multiple of 21/42, 60/47, 162/44

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/42, 60/47, 162/44 quickly i.e. 11340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/42, 60/47, 162/44 is 11340.

LCM(21/42, 60/47, 162/44) = 11340

LCM of 21/42, 60/47, 162/44

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 21/42,60/47,162/44

Given numbers are 21/42,60/47,162/44

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 21,60,162

Least Common Multiple of Numerators i.e. LCM of 21,60,162 is 11340.

GCF of Denominators means GCF of 42,47,44 as per the given fractions.

GCF of 42,47,44 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,60,162

LCM of Fractions 21/42,60/47,162/44 is 11340

2 21, 60, 162
3 21, 30, 81
7, 10, 27

∴ So the LCM of the given numbers is 2 x 3 x 7 x 10 x 27 = 11340

Least Common Multiple of 21,60,162 with GCF Formula

Least Common Multiple of 21,60,162 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 21,60,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,60,162) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(21,60,162) x common factors =3 x 6 = 18

LCM(21,60,162) = ( 21 × 60 × 162 ) / 18

LCM(21,60,162) = 204120 / 18

LCM(21,60,162) = 11340


Lets's calculate GCF of 42,47,44

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11340/1

Therefore the LCM of Fractions 21/42,60/47,162/44 is 11340

Greatest Common Factor of 42,47,44 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,47,44 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Greatest Common Factor

We found the factors 42,47,44 . The biggest common factor number is the GCF number.
So the greatest common factor 42,47,44 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 21/42, 60/47, 162/44

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 21/42, 60/47, 162/44?

Answer: LCM of Numerators as per given numbers 21/42, 60/47, 162/44 is

LCM of Numerators i.e. for 21,60,162 is 11340

GCF of denominators i.e. for 42,47,44 is 1.

Thus, LCM of Fractions is 11340.Finally, LCM of Fractions for 21/42, 60/47, 162/44 is 11340.