Least Common Multiple of 72/55, 21/60, 240/71

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/55, 21/60, 240/71 quickly i.e. 5040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/55, 21/60, 240/71 is 5040.

LCM(72/55, 21/60, 240/71) = 5040

LCM of 72/55, 21/60, 240/71

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 72/55,21/60,240/71

Given numbers are 72/55,21/60,240/71

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 72,21,240

Least Common Multiple of Numerators i.e. LCM of 72,21,240 is 5040.

GCF of Denominators means GCF of 55,60,71 as per the given fractions.

GCF of 55,60,71 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,21,240

LCM of Fractions 72/55,21/60,240/71 is 5040

2 72, 21, 240
2 36, 21, 120
2 18, 21, 60
3 9, 21, 30
3, 7, 10

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 7 x 10 = 5040

Least Common Multiple of 72,21,240 with GCF Formula

Least Common Multiple of 72,21,240 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 72,21,240 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,21,240) = 3

common factors(in case of two or more numbers have common factors) = 24

GCF(72,21,240) x common factors =3 x 24 = 72

LCM(72,21,240) = ( 72 × 21 × 240 ) / 72

LCM(72,21,240) = 362880 / 72

LCM(72,21,240) = 5040


Lets's calculate GCF of 55,60,71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5040/1

Therefore the LCM of Fractions 72/55,21/60,240/71 is 5040

Greatest Common Factor of 55,60,71 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,60,71 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Greatest Common Factor

We found the factors 55,60,71 . The biggest common factor number is the GCF number.
So the greatest common factor 55,60,71 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 72/55, 21/60, 240/71

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 72/55, 21/60, 240/71?

Answer: LCM of Numerators as per given numbers 72/55, 21/60, 240/71 is

LCM of Numerators i.e. for 72,21,240 is 5040

GCF of denominators i.e. for 55,60,71 is 1.

Thus, LCM of Fractions is 5040.Finally, LCM of Fractions for 72/55, 21/60, 240/71 is 5040.