Least Common Multiple of 195/959, 8394/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 195/959, 8394/274 quickly i.e. 545610/137 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 195/959, 8394/274 is 545610/137.

LCM(195/959, 8394/274) = 545610/137

LCM of 195/959, 8394/274

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 195/959,8394/274

Given numbers are 195/959,8394/274

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 195,8394

Least Common Multiple of Numerators i.e. LCM of 195,8394 is 545610.

GCF of Denominators means GCF of 959,274 as per the given fractions.

GCF of 959,274 is 137 as it is the largest common factor for these numbers.

Lets's calculate LCM of 195,8394

LCM of Fractions 195/959,8394/274 is 545610/137

3 195, 8394
65, 2798

∴ So the LCM of the given numbers is 3 x 65 x 2798 = 545610

Least Common Multiple of 195,8394 with GCF Formula

Least Common Multiple of 195,8394 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 195,8394 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(195,8394) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(195,8394) x common factors =3 x 1 = 3

LCM(195,8394) = ( 195 × 8394 ) / 3

LCM(195,8394) = 1636830 / 3

LCM(195,8394) = 545610


Lets's calculate GCF of 959,274

137 959, 274
7, 2

∴ So the GCF of the given numbers is 137 = 137

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 545610/137

Therefore the LCM of Fractions 195/959,8394/274 is 545610/137

Greatest Common Factor of 959,274 By Matching Biggest Common Factor Method

Greatest Common Factor of 959,274 By Matching Biggest Common Factor Method

Factors of 959

List of positive integer factors of 959 that divides 959 without a remainder.

1,7,137,959

Factors of 274

List of positive integer factors of 274 that divides 274 without a remainder.

1,2,137,274

Greatest Common Factor

We found the factors 959,274 . The biggest common factor number is the GCF number.
So the greatest common factor 959,274 is 137.


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 195/959, 8394/274

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 195/959, 8394/274?

Answer: LCM of Numerators as per given numbers 195/959, 8394/274 is

LCM of Numerators i.e. for 195,8394 is 545610

GCF of denominators i.e. for 959,274 is 137.

Thus, LCM of Fractions is 545610/137.Finally, LCM of Fractions for 195/959, 8394/274 is 545610/137.