Least Common Multiple of 195/24, 242/6725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 195/24, 242/6725 quickly i.e. 47190 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 195/24, 242/6725 is 47190.

LCM(195/24, 242/6725) = 47190

LCM of 195/24, 242/6725

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 195/24,242/6725

Given numbers are 195/24,242/6725

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 195,242

Least Common Multiple of Numerators i.e. LCM of 195,242 is 47190.

GCF of Denominators means GCF of 24,6725 as per the given fractions.

GCF of 24,6725 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 195,242

LCM of Fractions 195/24,242/6725 is 47190

Given numbers has no common factors except 1. So, there LCM is their product i.e 47190

Least Common Multiple of 195,242 with GCF Formula

Least Common Multiple of 195,242 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 195,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(195,242) = 1

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

GCF(195,242) x common factors =1 x 1 = 1

LCM(195,242) = ( 195 × 242 ) / 1

LCM(195,242) = 47190 / 1

LCM(195,242) = 47190


Lets's calculate GCF of 24,6725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47190/1

Therefore the LCM of Fractions 195/24,242/6725 is 47190

Greatest Common Factor of 24,6725 By Matching Biggest Common Factor Method

Greatest Common Factor of 24,6725 By Matching Biggest Common Factor Method

Factors of 24

List of positive integer factors of 24 that divides 24 without a remainder.

1,2,3,4,6,8,12,24

Factors of 6725

List of positive integer factors of 6725 that divides 6725 without a remainder.

1,5,25,269,1345,6725

Greatest Common Factor

We found the factors 24,6725 . The biggest common factor number is the GCF number.
So the greatest common factor 24,6725 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 195/24, 242/6725

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 195/24, 242/6725?

Answer: LCM of Numerators as per given numbers 195/24, 242/6725 is

LCM of Numerators i.e. for 195,242 is 47190

GCF of denominators i.e. for 24,6725 is 1.

Thus, LCM of Fractions is 47190.Finally, LCM of Fractions for 195/24, 242/6725 is 47190.