Least Common Multiple of 63/333, 8221/5724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 63/333, 8221/5724 quickly i.e. 57547 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 63/333, 8221/5724 is 57547.

LCM(63/333, 8221/5724) = 57547

LCM of 63/333, 8221/5724

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 63/333,8221/5724

Given numbers are 63/333,8221/5724

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 63,8221

Least Common Multiple of Numerators i.e. LCM of 63,8221 is 517923.

GCF of Denominators means GCF of 333,5724 as per the given fractions.

GCF of 333,5724 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 63,8221

LCM of Fractions 63/333,8221/5724 is 57547

Given numbers has no common factors except 1. So, there LCM is their product i.e 517923

Least Common Multiple of 63,8221 with GCF Formula

Least Common Multiple of 63,8221 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 63,8221 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,8221) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(63,8221) x common factors =1 x 1 = 1

LCM(63,8221) = ( 63 × 8221 ) / 1

LCM(63,8221) = 517923 / 1

LCM(63,8221) = 517923


Lets's calculate GCF of 333,5724

3 333, 5724
3 111, 1908
37, 636

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 517923/9

Therefore the LCM of Fractions 63/333,8221/5724 is 57547

Greatest Common Factor of 333,5724 By Matching Biggest Common Factor Method

Greatest Common Factor of 333,5724 By Matching Biggest Common Factor Method

Factors of 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Factors of 5724

List of positive integer factors of 5724 that divides 5724 without a remainder.

1,2,3,4,6,9,12,18,27,36,53,54,106,108,159,212,318,477,636,954,1431,1908,2862,5724

Greatest Common Factor

We found the factors 333,5724 . The biggest common factor number is the GCF number.
So the greatest common factor 333,5724 is 9.


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 63/333, 8221/5724

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 63/333, 8221/5724?

Answer: LCM of Numerators as per given numbers 63/333, 8221/5724 is

LCM of Numerators i.e. for 63,8221 is 517923

GCF of denominators i.e. for 333,5724 is 9.

Thus, LCM of Fractions is 57547.Finally, LCM of Fractions for 63/333, 8221/5724 is 57547.