Least Common Multiple of 97/195, 4144/8215

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 97/195, 4144/8215 quickly i.e. 401968/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 97/195, 4144/8215 is 401968/5.

LCM(97/195, 4144/8215) = 401968/5

LCM of 97/195, 4144/8215

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 97/195,4144/8215

Given numbers are 97/195,4144/8215

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 97,4144

Least Common Multiple of Numerators i.e. LCM of 97,4144 is 401968.

GCF of Denominators means GCF of 195,8215 as per the given fractions.

GCF of 195,8215 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 97,4144

LCM of Fractions 97/195,4144/8215 is 401968/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 401968

Least Common Multiple of 97,4144 with GCF Formula

Least Common Multiple of 97,4144 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 97,4144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,4144) = 1

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

GCF(97,4144) x common factors =1 x 1 = 1

LCM(97,4144) = ( 97 × 4144 ) / 1

LCM(97,4144) = 401968 / 1

LCM(97,4144) = 401968


Lets's calculate GCF of 195,8215

5 195, 8215
39, 1643

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 401968/5

Therefore the LCM of Fractions 97/195,4144/8215 is 401968/5

Greatest Common Factor of 195,8215 By Matching Biggest Common Factor Method

Greatest Common Factor of 195,8215 By Matching Biggest Common Factor Method

Factors of 195

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

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

Factors of 8215

List of positive integer factors of 8215 that divides 8215 without a remainder.

1,5,31,53,155,265,1643,8215

Greatest Common Factor

We found the factors 195,8215 . The biggest common factor number is the GCF number.
So the greatest common factor 195,8215 is 5.


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 97/195, 4144/8215

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 97/195, 4144/8215?

Answer: LCM of Numerators as per given numbers 97/195, 4144/8215 is

LCM of Numerators i.e. for 97,4144 is 401968

GCF of denominators i.e. for 195,8215 is 5.

Thus, LCM of Fractions is 401968/5.Finally, LCM of Fractions for 97/195, 4144/8215 is 401968/5.