Least Common Multiple of 252/99, 5283/213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 252/99, 5283/213 quickly i.e. 49308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 252/99, 5283/213 is 49308.

LCM(252/99, 5283/213) = 49308

LCM of 252/99, 5283/213

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 252/99,5283/213

Given numbers are 252/99,5283/213

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 252,5283

Least Common Multiple of Numerators i.e. LCM of 252,5283 is 147924.

GCF of Denominators means GCF of 99,213 as per the given fractions.

GCF of 99,213 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 252,5283

LCM of Fractions 252/99,5283/213 is 49308

3 252, 5283
3 84, 1761
28, 587

∴ So the LCM of the given numbers is 3 x 3 x 28 x 587 = 147924

Least Common Multiple of 252,5283 with GCF Formula

Least Common Multiple of 252,5283 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 252,5283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(252,5283) = 9

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

GCF(252,5283) x common factors =9 x 1 = 9

LCM(252,5283) = ( 252 × 5283 ) / 9

LCM(252,5283) = 1331316 / 9

LCM(252,5283) = 147924


Lets's calculate GCF of 99,213

3 99, 213
33, 71

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 147924/3

Therefore the LCM of Fractions 252/99,5283/213 is 49308

Greatest Common Factor of 99,213 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,213 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 213

List of positive integer factors of 213 that divides 213 without a remainder.

1,3,71,213

Greatest Common Factor

We found the factors 99,213 . The biggest common factor number is the GCF number.
So the greatest common factor 99,213 is 3.


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 252/99, 5283/213

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 252/99, 5283/213?

Answer: LCM of Numerators as per given numbers 252/99, 5283/213 is

LCM of Numerators i.e. for 252,5283 is 147924

GCF of denominators i.e. for 99,213 is 3.

Thus, LCM of Fractions is 49308.Finally, LCM of Fractions for 252/99, 5283/213 is 49308.