Least Common Multiple of 21/621, 48/729, 798/612

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/621, 48/729, 798/612 quickly i.e. 6384/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/621, 48/729, 798/612 is 6384/9.

LCM(21/621, 48/729, 798/612) = 6384/9

LCM of 21/621, 48/729, 798/612

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 21/621,48/729,798/612

Given numbers are 21/621,48/729,798/612

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 21,48,798

Least Common Multiple of Numerators i.e. LCM of 21,48,798 is 6384.

GCF of Denominators means GCF of 621,729,612 as per the given fractions.

GCF of 621,729,612 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,48,798

LCM of Fractions 21/621,48/729,798/612 is 6384/9

2 21, 48, 798
3 21, 24, 399
7 7, 8, 133
1, 8, 19

∴ So the LCM of the given numbers is 2 x 3 x 7 x 1 x 8 x 19 = 6384

Least Common Multiple of 21,48,798 with GCF Formula

Least Common Multiple of 21,48,798 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 21,48,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,48,798) = 3

common factors(in case of two or more numbers have common factors) = 42

GCF(21,48,798) x common factors =3 x 42 = 126

LCM(21,48,798) = ( 21 × 48 × 798 ) / 126

LCM(21,48,798) = 804384 / 126

LCM(21,48,798) = 6384


Lets's calculate GCF of 621,729,612

3 621, 729, 612
3 207, 243, 204
69, 81, 68

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6384/9

Therefore the LCM of Fractions 21/621,48/729,798/612 is 6384/9

Greatest Common Factor of 621,729,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 621,729,612 By Matching Biggest Common Factor Method

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 621,729,612 . The biggest common factor number is the GCF number.
So the greatest common factor 621,729,612 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 21/621, 48/729, 798/612

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 21/621, 48/729, 798/612?

Answer: LCM of Numerators as per given numbers 21/621, 48/729, 798/612 is

LCM of Numerators i.e. for 21,48,798 is 6384

GCF of denominators i.e. for 621,729,612 is 9.

Thus, LCM of Fractions is 6384/9.Finally, LCM of Fractions for 21/621, 48/729, 798/612 is 6384/9.