Least Common Multiple of 305/82, 561/21, 660/109

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 305/82, 561/21, 660/109 quickly i.e. 684420 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 305/82, 561/21, 660/109 is 684420.

LCM(305/82, 561/21, 660/109) = 684420

LCM of 305/82, 561/21, 660/109

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 305/82,561/21,660/109

Given numbers are 305/82,561/21,660/109

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 305,561,660

Least Common Multiple of Numerators i.e. LCM of 305,561,660 is 684420.

GCF of Denominators means GCF of 82,21,109 as per the given fractions.

GCF of 82,21,109 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 305,561,660

LCM of Fractions 305/82,561/21,660/109 is 684420

3 305, 561, 660
5 305, 187, 220
11 61, 187, 44
61, 17, 4

∴ So the LCM of the given numbers is 3 x 5 x 11 x 61 x 17 x 4 = 684420

Least Common Multiple of 305,561,660 with GCF Formula

Least Common Multiple of 305,561,660 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 305,561,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(305,561,660) = 1

common factors(in case of two or more numbers have common factors) = 165

GCF(305,561,660) x common factors =1 x 165 = 165

LCM(305,561,660) = ( 305 × 561 × 660 ) / 165

LCM(305,561,660) = 112929300 / 165

LCM(305,561,660) = 684420


Lets's calculate GCF of 82,21,109

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 684420/1

Therefore the LCM of Fractions 305/82,561/21,660/109 is 684420

Greatest Common Factor of 82,21,109 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,21,109 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 109

List of positive integer factors of 109 that divides 109 without a remainder.

1,109

Greatest Common Factor

We found the factors 82,21,109 . The biggest common factor number is the GCF number.
So the greatest common factor 82,21,109 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 305/82, 561/21, 660/109

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 305/82, 561/21, 660/109?

Answer: LCM of Numerators as per given numbers 305/82, 561/21, 660/109 is

LCM of Numerators i.e. for 305,561,660 is 684420

GCF of denominators i.e. for 82,21,109 is 1.

Thus, LCM of Fractions is 684420.Finally, LCM of Fractions for 305/82, 561/21, 660/109 is 684420.