Least Common Multiple of 48/523, 63/135, 333/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/523, 63/135, 333/371 quickly i.e. 37296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/523, 63/135, 333/371 is 37296.

LCM(48/523, 63/135, 333/371) = 37296

LCM of 48/523, 63/135, 333/371

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 48/523,63/135,333/371

Given numbers are 48/523,63/135,333/371

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 48,63,333

Least Common Multiple of Numerators i.e. LCM of 48,63,333 is 37296.

GCF of Denominators means GCF of 523,135,371 as per the given fractions.

GCF of 523,135,371 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,63,333

LCM of Fractions 48/523,63/135,333/371 is 37296

3 48, 63, 333
3 16, 21, 111
16, 7, 37

∴ So the LCM of the given numbers is 3 x 3 x 16 x 7 x 37 = 37296

Least Common Multiple of 48,63,333 with GCF Formula

Least Common Multiple of 48,63,333 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 48,63,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,63,333) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(48,63,333) x common factors =3 x 9 = 27

LCM(48,63,333) = ( 48 × 63 × 333 ) / 27

LCM(48,63,333) = 1006992 / 27

LCM(48,63,333) = 37296


Lets's calculate GCF of 523,135,371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37296/1

Therefore the LCM of Fractions 48/523,63/135,333/371 is 37296

Greatest Common Factor of 523,135,371 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,135,371 By Matching Biggest Common Factor Method

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Greatest Common Factor

We found the factors 523,135,371 . The biggest common factor number is the GCF number.
So the greatest common factor 523,135,371 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 48/523, 63/135, 333/371

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 48/523, 63/135, 333/371?

Answer: LCM of Numerators as per given numbers 48/523, 63/135, 333/371 is

LCM of Numerators i.e. for 48,63,333 is 37296

GCF of denominators i.e. for 523,135,371 is 1.

Thus, LCM of Fractions is 37296.Finally, LCM of Fractions for 48/523, 63/135, 333/371 is 37296.