Least Common Multiple of 72/442, 25/243, 252/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/442, 25/243, 252/595 quickly i.e. 12600 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/442, 25/243, 252/595 is 12600.

LCM(72/442, 25/243, 252/595) = 12600

LCM of 72/442, 25/243, 252/595

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 72/442,25/243,252/595

Given numbers are 72/442,25/243,252/595

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 72,25,252

Least Common Multiple of Numerators i.e. LCM of 72,25,252 is 12600.

GCF of Denominators means GCF of 442,243,595 as per the given fractions.

GCF of 442,243,595 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,25,252

LCM of Fractions 72/442,25/243,252/595 is 12600

2 72, 25, 252
2 36, 25, 126
3 18, 25, 63
3 6, 25, 21
2, 25, 7

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 2 x 25 x 7 = 12600

Least Common Multiple of 72,25,252 with GCF Formula

Least Common Multiple of 72,25,252 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 72,25,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,25,252) = 1

common factors(in case of two or more numbers have common factors) = 36

GCF(72,25,252) x common factors =1 x 36 = 36

LCM(72,25,252) = ( 72 × 25 × 252 ) / 36

LCM(72,25,252) = 453600 / 36

LCM(72,25,252) = 12600


Lets's calculate GCF of 442,243,595

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12600/1

Therefore the LCM of Fractions 72/442,25/243,252/595 is 12600

Greatest Common Factor of 442,243,595 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,243,595 By Matching Biggest Common Factor Method

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Greatest Common Factor

We found the factors 442,243,595 . The biggest common factor number is the GCF number.
So the greatest common factor 442,243,595 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 72/442, 25/243, 252/595

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 72/442, 25/243, 252/595?

Answer: LCM of Numerators as per given numbers 72/442, 25/243, 252/595 is

LCM of Numerators i.e. for 72,25,252 is 12600

GCF of denominators i.e. for 442,243,595 is 1.

Thus, LCM of Fractions is 12600.Finally, LCM of Fractions for 72/442, 25/243, 252/595 is 12600.