Least Common Multiple of 66/725, 264/357, 243/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 66/725, 264/357, 243/543 quickly i.e. 21384 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 66/725, 264/357, 243/543 is 21384.

LCM(66/725, 264/357, 243/543) = 21384

LCM of 66/725, 264/357, 243/543

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 66/725,264/357,243/543

Given numbers are 66/725,264/357,243/543

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 66,264,243

Least Common Multiple of Numerators i.e. LCM of 66,264,243 is 21384.

GCF of Denominators means GCF of 725,357,543 as per the given fractions.

GCF of 725,357,543 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 66,264,243

LCM of Fractions 66/725,264/357,243/543 is 21384

2 66, 264, 243
3 33, 132, 243
11 11, 44, 81
1, 4, 81

∴ So the LCM of the given numbers is 2 x 3 x 11 x 1 x 4 x 81 = 21384

Least Common Multiple of 66,264,243 with GCF Formula

Least Common Multiple of 66,264,243 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 66,264,243 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,264,243) = 3

common factors(in case of two or more numbers have common factors) = 66

GCF(66,264,243) x common factors =3 x 66 = 198

LCM(66,264,243) = ( 66 × 264 × 243 ) / 198

LCM(66,264,243) = 4234032 / 198

LCM(66,264,243) = 21384


Lets's calculate GCF of 725,357,543

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21384/1

Therefore the LCM of Fractions 66/725,264/357,243/543 is 21384

Greatest Common Factor of 725,357,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,357,543 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors 725,357,543 . The biggest common factor number is the GCF number.
So the greatest common factor 725,357,543 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 66/725, 264/357, 243/543

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 66/725, 264/357, 243/543?

Answer: LCM of Numerators as per given numbers 66/725, 264/357, 243/543 is

LCM of Numerators i.e. for 66,264,243 is 21384

GCF of denominators i.e. for 725,357,543 is 1.

Thus, LCM of Fractions is 21384.Finally, LCM of Fractions for 66/725, 264/357, 243/543 is 21384.