Least Common Multiple of 21/891, 609/293, 215/978

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/891, 609/293, 215/978 quickly i.e. 130935 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/891, 609/293, 215/978 is 130935.

LCM(21/891, 609/293, 215/978) = 130935

LCM of 21/891, 609/293, 215/978

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 21/891,609/293,215/978

Given numbers are 21/891,609/293,215/978

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 21,609,215

Least Common Multiple of Numerators i.e. LCM of 21,609,215 is 130935.

GCF of Denominators means GCF of 891,293,978 as per the given fractions.

GCF of 891,293,978 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,609,215

LCM of Fractions 21/891,609/293,215/978 is 130935

3 21, 609, 215
7 7, 203, 215
1, 29, 215

∴ So the LCM of the given numbers is 3 x 7 x 1 x 29 x 215 = 130935

Least Common Multiple of 21,609,215 with GCF Formula

Least Common Multiple of 21,609,215 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 21,609,215 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,609,215) = 1

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

GCF(21,609,215) x common factors =1 x 21 = 21

LCM(21,609,215) = ( 21 × 609 × 215 ) / 21

LCM(21,609,215) = 2749635 / 21

LCM(21,609,215) = 130935


Lets's calculate GCF of 891,293,978

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 130935/1

Therefore the LCM of Fractions 21/891,609/293,215/978 is 130935

Greatest Common Factor of 891,293,978 By Matching Biggest Common Factor Method

Greatest Common Factor of 891,293,978 By Matching Biggest Common Factor Method

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 293

List of positive integer factors of 293 that divides 293 without a remainder.

1,293

Factors of 978

List of positive integer factors of 978 that divides 978 without a remainder.

1,2,3,6,163,326,489,978

Greatest Common Factor

We found the factors 891,293,978 . The biggest common factor number is the GCF number.
So the greatest common factor 891,293,978 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 21/891, 609/293, 215/978

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 21/891, 609/293, 215/978?

Answer: LCM of Numerators as per given numbers 21/891, 609/293, 215/978 is

LCM of Numerators i.e. for 21,609,215 is 130935

GCF of denominators i.e. for 891,293,978 is 1.

Thus, LCM of Fractions is 130935.Finally, LCM of Fractions for 21/891, 609/293, 215/978 is 130935.