Least Common Multiple of 21/741, 209/619, 756/218

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/741, 209/619, 756/218 quickly i.e. 158004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/741, 209/619, 756/218 is 158004.

LCM(21/741, 209/619, 756/218) = 158004

LCM of 21/741, 209/619, 756/218

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 21/741,209/619,756/218

Given numbers are 21/741,209/619,756/218

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 21,209,756

Least Common Multiple of Numerators i.e. LCM of 21,209,756 is 158004.

GCF of Denominators means GCF of 741,619,218 as per the given fractions.

GCF of 741,619,218 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,209,756

LCM of Fractions 21/741,209/619,756/218 is 158004

3 21, 209, 756
7 7, 209, 252
1, 209, 36

∴ So the LCM of the given numbers is 3 x 7 x 1 x 209 x 36 = 158004

Least Common Multiple of 21,209,756 with GCF Formula

Least Common Multiple of 21,209,756 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 21,209,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,209,756) = 1

common factors(in case of two or more numbers have common factors) = 21

GCF(21,209,756) x common factors =1 x 21 = 21

LCM(21,209,756) = ( 21 × 209 × 756 ) / 21

LCM(21,209,756) = 3318084 / 21

LCM(21,209,756) = 158004


Lets's calculate GCF of 741,619,218

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 158004/1

Therefore the LCM of Fractions 21/741,209/619,756/218 is 158004

Greatest Common Factor of 741,619,218 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,619,218 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Factors of 218

List of positive integer factors of 218 that divides 218 without a remainder.

1,2,109,218

Greatest Common Factor

We found the factors 741,619,218 . The biggest common factor number is the GCF number.
So the greatest common factor 741,619,218 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 21/741, 209/619, 756/218

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 21/741, 209/619, 756/218?

Answer: LCM of Numerators as per given numbers 21/741, 209/619, 756/218 is

LCM of Numerators i.e. for 21,209,756 is 158004

GCF of denominators i.e. for 741,619,218 is 1.

Thus, LCM of Fractions is 158004.Finally, LCM of Fractions for 21/741, 209/619, 756/218 is 158004.