Least Common Multiple of 109/975, 6193/7152

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 109/975, 6193/7152 quickly i.e. 675037/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 109/975, 6193/7152 is 675037/3.

LCM(109/975, 6193/7152) = 675037/3

LCM of 109/975, 6193/7152

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 109/975,6193/7152

Given numbers are 109/975,6193/7152

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 109,6193

Least Common Multiple of Numerators i.e. LCM of 109,6193 is 675037.

GCF of Denominators means GCF of 975,7152 as per the given fractions.

GCF of 975,7152 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 109,6193

LCM of Fractions 109/975,6193/7152 is 675037/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 675037

Least Common Multiple of 109,6193 with GCF Formula

Least Common Multiple of 109,6193 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 109,6193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(109,6193) = 1

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

GCF(109,6193) x common factors =1 x 1 = 1

LCM(109,6193) = ( 109 × 6193 ) / 1

LCM(109,6193) = 675037 / 1

LCM(109,6193) = 675037


Lets's calculate GCF of 975,7152

3 975, 7152
325, 2384

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 675037/3

Therefore the LCM of Fractions 109/975,6193/7152 is 675037/3

Greatest Common Factor of 975,7152 By Matching Biggest Common Factor Method

Greatest Common Factor of 975,7152 By Matching Biggest Common Factor Method

Factors of 975

List of positive integer factors of 975 that divides 975 without a remainder.

1,3,5,13,15,25,39,65,75,195,325,975

Factors of 7152

List of positive integer factors of 7152 that divides 7152 without a remainder.

1,2,3,4,6,8,12,16,24,48,149,298,447,596,894,1192,1788,2384,3576,7152

Greatest Common Factor

We found the factors 975,7152 . The biggest common factor number is the GCF number.
So the greatest common factor 975,7152 is 3.


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 109/975, 6193/7152

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 109/975, 6193/7152?

Answer: LCM of Numerators as per given numbers 109/975, 6193/7152 is

LCM of Numerators i.e. for 109,6193 is 675037

GCF of denominators i.e. for 975,7152 is 3.

Thus, LCM of Fractions is 675037/3.Finally, LCM of Fractions for 109/975, 6193/7152 is 675037/3.