Least Common Multiple of 195/71, 143/8238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 195/71, 143/8238 quickly i.e. 2145 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 195/71, 143/8238 is 2145.

LCM(195/71, 143/8238) = 2145

LCM of 195/71, 143/8238

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 195/71,143/8238

Given numbers are 195/71,143/8238

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 195,143

Least Common Multiple of Numerators i.e. LCM of 195,143 is 2145.

GCF of Denominators means GCF of 71,8238 as per the given fractions.

GCF of 71,8238 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 195,143

LCM of Fractions 195/71,143/8238 is 2145

13 195, 143
15, 11

∴ So the LCM of the given numbers is 13 x 15 x 11 = 2145

Least Common Multiple of 195,143 with GCF Formula

Least Common Multiple of 195,143 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 195,143 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(195,143) = 13

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

GCF(195,143) x common factors =13 x 1 = 13

LCM(195,143) = ( 195 × 143 ) / 13

LCM(195,143) = 27885 / 13

LCM(195,143) = 2145


Lets's calculate GCF of 71,8238

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2145/1

Therefore the LCM of Fractions 195/71,143/8238 is 2145

Greatest Common Factor of 71,8238 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,8238 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 8238

List of positive integer factors of 8238 that divides 8238 without a remainder.

1,2,3,6,1373,2746,4119,8238

Greatest Common Factor

We found the factors 71,8238 . The biggest common factor number is the GCF number.
So the greatest common factor 71,8238 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 195/71, 143/8238

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 195/71, 143/8238?

Answer: LCM of Numerators as per given numbers 195/71, 143/8238 is

LCM of Numerators i.e. for 195,143 is 2145

GCF of denominators i.e. for 71,8238 is 1.

Thus, LCM of Fractions is 2145.Finally, LCM of Fractions for 195/71, 143/8238 is 2145.