Least Common Multiple of 48/63, 76/73, 57/33, 44/413

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 48/63, 76/73, 57/33, 44/413 quickly i.e. 10032 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 48/63, 76/73, 57/33, 44/413 is 10032.

LCM(48/63, 76/73, 57/33, 44/413) = 10032

LCM of 48/63, 76/73, 57/33, 44/413

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 48/63,76/73,57/33,44/413

Given numbers are 48/63,76/73,57/33,44/413

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 48,76,57,44

Least Common Multiple of Numerators i.e. LCM of 48,76,57,44 is 10032.

GCF of Denominators means GCF of 63,73,33,413 as per the given fractions.

GCF of 63,73,33,413 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 48,76,57,44

LCM of Fractions 48/63,76/73,57/33,44/413 is 10032

2 48, 76, 57, 44
2 24, 38, 57, 22
3 12, 19, 57, 11
19 4, 19, 19, 11
4, 1, 1, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 19 x 4 x 1 x 1 x 11 = 10032

Least Common Multiple of 48,76,57,44 with GCF Formula

Least Common Multiple of 48,76,57,44 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 48,76,57,44 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,76,57,44) = 1

common factors(in case of two or more numbers have common factors) = 912

GCF(48,76,57,44) x common factors =1 x 912 = 912

LCM(48,76,57,44) = ( 48 × 76 × 57 × 44 ) / 912

LCM(48,76,57,44) = 9149184 / 912

LCM(48,76,57,44) = 10032


Lets's calculate GCF of 63,73,33,413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10032/1

Therefore the LCM of Fractions 48/63,76/73,57/33,44/413 is 10032

Greatest Common Factor of 63,73,33,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,73,33,413 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 63,73,33,413 . The biggest common factor number is the GCF number.
So the greatest common factor 63,73,33,413 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 48/63, 76/73, 57/33, 44/413

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 48/63, 76/73, 57/33, 44/413?

Answer: LCM of Numerators as per given numbers 48/63, 76/73, 57/33, 44/413 is

LCM of Numerators i.e. for 48,76,57,44 is 10032

GCF of denominators i.e. for 63,73,33,413 is 1.

Thus, LCM of Fractions is 10032.Finally, LCM of Fractions for 48/63, 76/73, 57/33, 44/413 is 10032.