Least Common Multiple of 72/653, 72/914, 279/240

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/653, 72/914, 279/240 quickly i.e. 2232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/653, 72/914, 279/240 is 2232.

LCM(72/653, 72/914, 279/240) = 2232

LCM of 72/653, 72/914, 279/240

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 72/653,72/914,279/240

Given numbers are 72/653,72/914,279/240

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 72,72,279

Least Common Multiple of Numerators i.e. LCM of 72,72,279 is 2232.

GCF of Denominators means GCF of 653,914,240 as per the given fractions.

GCF of 653,914,240 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,72,279

LCM of Fractions 72/653,72/914,279/240 is 2232

2 72, 72, 279
2 36, 36, 279
2 18, 18, 279
3 9, 9, 279
3 3, 3, 93
1, 1, 31

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 3 x 1 x 1 x 31 = 2232

Least Common Multiple of 72,72,279 with GCF Formula

Least Common Multiple of 72,72,279 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 72,72,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,72,279) = 9

common factors(in case of two or more numbers have common factors) = 72

GCF(72,72,279) x common factors =9 x 72 = 648

LCM(72,72,279) = ( 72 × 72 × 279 ) / 648

LCM(72,72,279) = 1446336 / 648

LCM(72,72,279) = 2232


Lets's calculate GCF of 653,914,240

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2232/1

Therefore the LCM of Fractions 72/653,72/914,279/240 is 2232

Greatest Common Factor of 653,914,240 By Matching Biggest Common Factor Method

Greatest Common Factor of 653,914,240 By Matching Biggest Common Factor Method

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Greatest Common Factor

We found the factors 653,914,240 . The biggest common factor number is the GCF number.
So the greatest common factor 653,914,240 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 72/653, 72/914, 279/240

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 72/653, 72/914, 279/240?

Answer: LCM of Numerators as per given numbers 72/653, 72/914, 279/240 is

LCM of Numerators i.e. for 72,72,279 is 2232

GCF of denominators i.e. for 653,914,240 is 1.

Thus, LCM of Fractions is 2232.Finally, LCM of Fractions for 72/653, 72/914, 279/240 is 2232.