Least Common Multiple of 933/36, 621/5211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 933/36, 621/5211 quickly i.e. 21459 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 933/36, 621/5211 is 21459.

LCM(933/36, 621/5211) = 21459

LCM of 933/36, 621/5211

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 933/36,621/5211

Given numbers are 933/36,621/5211

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 933,621

Least Common Multiple of Numerators i.e. LCM of 933,621 is 193131.

GCF of Denominators means GCF of 36,5211 as per the given fractions.

GCF of 36,5211 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 933,621

LCM of Fractions 933/36,621/5211 is 21459

3 933, 621
311, 207

∴ So the LCM of the given numbers is 3 x 311 x 207 = 193131

Least Common Multiple of 933,621 with GCF Formula

Least Common Multiple of 933,621 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 933,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(933,621) = 3

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

GCF(933,621) x common factors =3 x 1 = 3

LCM(933,621) = ( 933 × 621 ) / 3

LCM(933,621) = 579393 / 3

LCM(933,621) = 193131


Lets's calculate GCF of 36,5211

3 36, 5211
3 12, 1737
4, 579

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 193131/9

Therefore the LCM of Fractions 933/36,621/5211 is 21459

Greatest Common Factor of 36,5211 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,5211 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 5211

List of positive integer factors of 5211 that divides 5211 without a remainder.

1,3,9,27,193,579,1737,5211

Greatest Common Factor

We found the factors 36,5211 . The biggest common factor number is the GCF number.
So the greatest common factor 36,5211 is 9.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 933/36, 621/5211

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 933/36, 621/5211?

Answer: LCM of Numerators as per given numbers 933/36, 621/5211 is

LCM of Numerators i.e. for 933,621 is 193131

GCF of denominators i.e. for 36,5211 is 9.

Thus, LCM of Fractions is 21459.Finally, LCM of Fractions for 933/36, 621/5211 is 21459.