Least Common Multiple of 486/122, 309/378, 654/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 486/122, 309/378, 654/195 quickly i.e. 5456322 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 486/122, 309/378, 654/195 is 5456322.

LCM(486/122, 309/378, 654/195) = 5456322

LCM of 486/122, 309/378, 654/195

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 486/122,309/378,654/195

Given numbers are 486/122,309/378,654/195

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 486,309,654

Least Common Multiple of Numerators i.e. LCM of 486,309,654 is 5456322.

GCF of Denominators means GCF of 122,378,195 as per the given fractions.

GCF of 122,378,195 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 486,309,654

LCM of Fractions 486/122,309/378,654/195 is 5456322

2 486, 309, 654
3 243, 309, 327
81, 103, 109

∴ So the LCM of the given numbers is 2 x 3 x 81 x 103 x 109 = 5456322

Least Common Multiple of 486,309,654 with GCF Formula

Least Common Multiple of 486,309,654 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 486,309,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(486,309,654) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(486,309,654) x common factors =3 x 6 = 18

LCM(486,309,654) = ( 486 × 309 × 654 ) / 18

LCM(486,309,654) = 98213796 / 18

LCM(486,309,654) = 5456322


Lets's calculate GCF of 122,378,195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5456322/1

Therefore the LCM of Fractions 486/122,309/378,654/195 is 5456322

Greatest Common Factor of 122,378,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 122,378,195 By Matching Biggest Common Factor Method

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 195

List of positive integer factors of 195 that divides 195 without a remainder.

1,3,5,13,15,39,65,195

Greatest Common Factor

We found the factors 122,378,195 . The biggest common factor number is the GCF number.
So the greatest common factor 122,378,195 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 486/122, 309/378, 654/195

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 486/122, 309/378, 654/195?

Answer: LCM of Numerators as per given numbers 486/122, 309/378, 654/195 is

LCM of Numerators i.e. for 486,309,654 is 5456322

GCF of denominators i.e. for 122,378,195 is 1.

Thus, LCM of Fractions is 5456322.Finally, LCM of Fractions for 486/122, 309/378, 654/195 is 5456322.