Least Common Multiple of 72/268, 591/693, 211/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/268, 591/693, 211/540 quickly i.e. 2992824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/268, 591/693, 211/540 is 2992824.

LCM(72/268, 591/693, 211/540) = 2992824

LCM of 72/268, 591/693, 211/540

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 72/268,591/693,211/540

Given numbers are 72/268,591/693,211/540

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 72,591,211

Least Common Multiple of Numerators i.e. LCM of 72,591,211 is 2992824.

GCF of Denominators means GCF of 268,693,540 as per the given fractions.

GCF of 268,693,540 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,591,211

LCM of Fractions 72/268,591/693,211/540 is 2992824

3 72, 591, 211
24, 197, 211

∴ So the LCM of the given numbers is 3 x 24 x 197 x 211 = 2992824

Least Common Multiple of 72,591,211 with GCF Formula

Least Common Multiple of 72,591,211 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 72,591,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,591,211) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(72,591,211) x common factors =1 x 3 = 3

LCM(72,591,211) = ( 72 × 591 × 211 ) / 3

LCM(72,591,211) = 8978472 / 3

LCM(72,591,211) = 2992824


Lets's calculate GCF of 268,693,540

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2992824/1

Therefore the LCM of Fractions 72/268,591/693,211/540 is 2992824

Greatest Common Factor of 268,693,540 By Matching Biggest Common Factor Method

Greatest Common Factor of 268,693,540 By Matching Biggest Common Factor Method

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 540

List of positive integer factors of 540 that divides 540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 268,693,540 . The biggest common factor number is the GCF number.
So the greatest common factor 268,693,540 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 72/268, 591/693, 211/540

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 72/268, 591/693, 211/540?

Answer: LCM of Numerators as per given numbers 72/268, 591/693, 211/540 is

LCM of Numerators i.e. for 72,591,211 is 2992824

GCF of denominators i.e. for 268,693,540 is 1.

Thus, LCM of Fractions is 2992824.Finally, LCM of Fractions for 72/268, 591/693, 211/540 is 2992824.