Least Common Multiple of 63/33, 91/48, 12/41, 64/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/33, 91/48, 12/41, 64/523 quickly i.e. 52416 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/33, 91/48, 12/41, 64/523 is 52416.

LCM(63/33, 91/48, 12/41, 64/523) = 52416

LCM of 63/33, 91/48, 12/41, 64/523

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 63/33,91/48,12/41,64/523

Given numbers are 63/33,91/48,12/41,64/523

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 63,91,12,64

Least Common Multiple of Numerators i.e. LCM of 63,91,12,64 is 52416.

GCF of Denominators means GCF of 33,48,41,523 as per the given fractions.

GCF of 33,48,41,523 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,91,12,64

LCM of Fractions 63/33,91/48,12/41,64/523 is 52416

2 63, 91, 12, 64
2 63, 91, 6, 32
3 63, 91, 3, 16
7 21, 91, 1, 16
3, 13, 1, 16

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 3 x 13 x 1 x 16 = 52416

Least Common Multiple of 63,91,12,64 with GCF Formula

Least Common Multiple of 63,91,12,64 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 63,91,12,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,91,12,64) = 1

common factors(in case of two or more numbers have common factors) = 84

GCF(63,91,12,64) x common factors =1 x 84 = 84

LCM(63,91,12,64) = ( 63 × 91 × 12 × 64 ) / 84

LCM(63,91,12,64) = 4402944 / 84

LCM(63,91,12,64) = 52416


Lets's calculate GCF of 33,48,41,523

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 52416/1

Therefore the LCM of Fractions 63/33,91/48,12/41,64/523 is 52416

Greatest Common Factor of 33,48,41,523 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,48,41,523 By Matching Biggest Common Factor Method

Factors of 33

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

1,3,11,33

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 41

List of positive integer factors of 41 that divides 41 without a remainder.

1,41

Factors of 523

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

1,523

Greatest Common Factor

We found the factors 33,48,41,523 . The biggest common factor number is the GCF number.
So the greatest common factor 33,48,41,523 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 63/33, 91/48, 12/41, 64/523

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 63/33, 91/48, 12/41, 64/523?

Answer: LCM of Numerators as per given numbers 63/33, 91/48, 12/41, 64/523 is

LCM of Numerators i.e. for 63,91,12,64 is 52416

GCF of denominators i.e. for 33,48,41,523 is 1.

Thus, LCM of Fractions is 52416.Finally, LCM of Fractions for 63/33, 91/48, 12/41, 64/523 is 52416.