Least Common Multiple of 21/13, 21/34, 59/73, 33/371

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/13, 21/34, 59/73, 33/371 quickly i.e. 13629 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/13, 21/34, 59/73, 33/371 is 13629.

LCM(21/13, 21/34, 59/73, 33/371) = 13629

LCM of 21/13, 21/34, 59/73, 33/371

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 21/13,21/34,59/73,33/371

Given numbers are 21/13,21/34,59/73,33/371

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 21,21,59,33

Least Common Multiple of Numerators i.e. LCM of 21,21,59,33 is 13629.

GCF of Denominators means GCF of 13,34,73,371 as per the given fractions.

GCF of 13,34,73,371 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,21,59,33

LCM of Fractions 21/13,21/34,59/73,33/371 is 13629

3 21, 21, 59, 33
7 7, 7, 59, 11
1, 1, 59, 11

∴ So the LCM of the given numbers is 3 x 7 x 1 x 1 x 59 x 11 = 13629

Least Common Multiple of 21,21,59,33 with GCF Formula

Least Common Multiple of 21,21,59,33 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 21,21,59,33 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,21,59,33) = 1

common factors(in case of two or more numbers have common factors) = 63

GCF(21,21,59,33) x common factors =1 x 63 = 63

LCM(21,21,59,33) = ( 21 × 21 × 59 × 33 ) / 63

LCM(21,21,59,33) = 858627 / 63

LCM(21,21,59,33) = 13629


Lets's calculate GCF of 13,34,73,371

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13629/1

Therefore the LCM of Fractions 21/13,21/34,59/73,33/371 is 13629

Greatest Common Factor of 13,34,73,371 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,34,73,371 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 371

List of positive integer factors of 371 that divides 371 without a remainder.

1,7,53,371

Greatest Common Factor

We found the factors 13,34,73,371 . The biggest common factor number is the GCF number.
So the greatest common factor 13,34,73,371 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 21/13, 21/34, 59/73, 33/371

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 21/13, 21/34, 59/73, 33/371?

Answer: LCM of Numerators as per given numbers 21/13, 21/34, 59/73, 33/371 is

LCM of Numerators i.e. for 21,21,59,33 is 13629

GCF of denominators i.e. for 13,34,73,371 is 1.

Thus, LCM of Fractions is 13629.Finally, LCM of Fractions for 21/13, 21/34, 59/73, 33/371 is 13629.