Least Common Multiple of 159/656, 945/204, 446/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 159/656, 945/204, 446/369 quickly i.e. 22337910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 159/656, 945/204, 446/369 is 22337910.

LCM(159/656, 945/204, 446/369) = 22337910

LCM of 159/656, 945/204, 446/369

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 159/656,945/204,446/369

Given numbers are 159/656,945/204,446/369

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 159,945,446

Least Common Multiple of Numerators i.e. LCM of 159,945,446 is 22337910.

GCF of Denominators means GCF of 656,204,369 as per the given fractions.

GCF of 656,204,369 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 159,945,446

LCM of Fractions 159/656,945/204,446/369 is 22337910

3 159, 945, 446
53, 315, 446

∴ So the LCM of the given numbers is 3 x 53 x 315 x 446 = 22337910

Least Common Multiple of 159,945,446 with GCF Formula

Least Common Multiple of 159,945,446 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 159,945,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(159,945,446) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(159,945,446) x common factors =1 x 3 = 3

LCM(159,945,446) = ( 159 × 945 × 446 ) / 3

LCM(159,945,446) = 67013730 / 3

LCM(159,945,446) = 22337910


Lets's calculate GCF of 656,204,369

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22337910/1

Therefore the LCM of Fractions 159/656,945/204,446/369 is 22337910

Greatest Common Factor of 656,204,369 By Matching Biggest Common Factor Method

Greatest Common Factor of 656,204,369 By Matching Biggest Common Factor Method

Factors of 656

List of positive integer factors of 656 that divides 656 without a remainder.

1,2,4,8,16,41,82,164,328,656

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Greatest Common Factor

We found the factors 656,204,369 . The biggest common factor number is the GCF number.
So the greatest common factor 656,204,369 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 159/656, 945/204, 446/369

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 159/656, 945/204, 446/369?

Answer: LCM of Numerators as per given numbers 159/656, 945/204, 446/369 is

LCM of Numerators i.e. for 159,945,446 is 22337910

GCF of denominators i.e. for 656,204,369 is 1.

Thus, LCM of Fractions is 22337910.Finally, LCM of Fractions for 159/656, 945/204, 446/369 is 22337910.