Least Common Multiple of 115/42, 195/3193

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 115/42, 195/3193 quickly i.e. 4485 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 115/42, 195/3193 is 4485.

LCM(115/42, 195/3193) = 4485

LCM of 115/42, 195/3193

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 115/42,195/3193

Given numbers are 115/42,195/3193

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 115,195

Least Common Multiple of Numerators i.e. LCM of 115,195 is 4485.

GCF of Denominators means GCF of 42,3193 as per the given fractions.

GCF of 42,3193 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 115,195

LCM of Fractions 115/42,195/3193 is 4485

5 115, 195
23, 39

∴ So the LCM of the given numbers is 5 x 23 x 39 = 4485

Least Common Multiple of 115,195 with GCF Formula

Least Common Multiple of 115,195 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 115,195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(115,195) = 5

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

GCF(115,195) x common factors =5 x 1 = 5

LCM(115,195) = ( 115 × 195 ) / 5

LCM(115,195) = 22425 / 5

LCM(115,195) = 4485


Lets's calculate GCF of 42,3193

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4485/1

Therefore the LCM of Fractions 115/42,195/3193 is 4485

Greatest Common Factor of 42,3193 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,3193 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 3193

List of positive integer factors of 3193 that divides 3193 without a remainder.

1,31,103,3193

Greatest Common Factor

We found the factors 42,3193 . The biggest common factor number is the GCF number.
So the greatest common factor 42,3193 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 115/42, 195/3193

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 115/42, 195/3193?

Answer: LCM of Numerators as per given numbers 115/42, 195/3193 is

LCM of Numerators i.e. for 115,195 is 4485

GCF of denominators i.e. for 42,3193 is 1.

Thus, LCM of Fractions is 4485.Finally, LCM of Fractions for 115/42, 195/3193 is 4485.