Least Common Multiple of 21/66, 96/52, 287/348

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/66, 96/52, 287/348 quickly i.e. 13776 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/66, 96/52, 287/348 is 13776.

LCM(21/66, 96/52, 287/348) = 13776

LCM of 21/66, 96/52, 287/348

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 21/66,96/52,287/348

Given numbers are 21/66,96/52,287/348

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 21,96,287

Least Common Multiple of Numerators i.e. LCM of 21,96,287 is 27552.

GCF of Denominators means GCF of 66,52,348 as per the given fractions.

GCF of 66,52,348 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,96,287

LCM of Fractions 21/66,96/52,287/348 is 13776

3 21, 96, 287
7 7, 32, 287
1, 32, 41

∴ So the LCM of the given numbers is 3 x 7 x 1 x 32 x 41 = 27552

Least Common Multiple of 21,96,287 with GCF Formula

Least Common Multiple of 21,96,287 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 21,96,287 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,96,287) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(21,96,287) x common factors =1 x 21 = 21

LCM(21,96,287) = ( 21 × 96 × 287 ) / 21

LCM(21,96,287) = 578592 / 21

LCM(21,96,287) = 27552


Lets's calculate GCF of 66,52,348

2 66, 52, 348
33, 26, 174

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27552/2

Therefore the LCM of Fractions 21/66,96/52,287/348 is 13776

Greatest Common Factor of 66,52,348 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,52,348 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Greatest Common Factor

We found the factors 66,52,348 . The biggest common factor number is the GCF number.
So the greatest common factor 66,52,348 is 2.


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 21/66, 96/52, 287/348

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 21/66, 96/52, 287/348?

Answer: LCM of Numerators as per given numbers 21/66, 96/52, 287/348 is

LCM of Numerators i.e. for 21,96,287 is 27552

GCF of denominators i.e. for 66,52,348 is 2.

Thus, LCM of Fractions is 13776.Finally, LCM of Fractions for 21/66, 96/52, 287/348 is 13776.