Least Common Multiple of 75/173, 339/645, 643/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/173, 339/645, 643/966 quickly i.e. 5449425 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/173, 339/645, 643/966 is 5449425.

LCM(75/173, 339/645, 643/966) = 5449425

LCM of 75/173, 339/645, 643/966

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 75/173,339/645,643/966

Given numbers are 75/173,339/645,643/966

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 75,339,643

Least Common Multiple of Numerators i.e. LCM of 75,339,643 is 5449425.

GCF of Denominators means GCF of 173,645,966 as per the given fractions.

GCF of 173,645,966 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,339,643

LCM of Fractions 75/173,339/645,643/966 is 5449425

3 75, 339, 643
25, 113, 643

∴ So the LCM of the given numbers is 3 x 25 x 113 x 643 = 5449425

Least Common Multiple of 75,339,643 with GCF Formula

Least Common Multiple of 75,339,643 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 75,339,643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,339,643) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(75,339,643) x common factors =1 x 3 = 3

LCM(75,339,643) = ( 75 × 339 × 643 ) / 3

LCM(75,339,643) = 16348275 / 3

LCM(75,339,643) = 5449425


Lets's calculate GCF of 173,645,966

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5449425/1

Therefore the LCM of Fractions 75/173,339/645,643/966 is 5449425

Greatest Common Factor of 173,645,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 173,645,966 By Matching Biggest Common Factor Method

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Factors of 645

List of positive integer factors of 645 that divides 645 without a remainder.

1,3,5,15,43,129,215,645

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 173,645,966 . The biggest common factor number is the GCF number.
So the greatest common factor 173,645,966 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 75/173, 339/645, 643/966

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 75/173, 339/645, 643/966?

Answer: LCM of Numerators as per given numbers 75/173, 339/645, 643/966 is

LCM of Numerators i.e. for 75,339,643 is 5449425

GCF of denominators i.e. for 173,645,966 is 1.

Thus, LCM of Fractions is 5449425.Finally, LCM of Fractions for 75/173, 339/645, 643/966 is 5449425.