Least Common Multiple of 531/47, 7173/195

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 531/47, 7173/195 quickly i.e. 423207 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 531/47, 7173/195 is 423207.

LCM(531/47, 7173/195) = 423207

LCM of 531/47, 7173/195

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 531/47,7173/195

Given numbers are 531/47,7173/195

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 531,7173

Least Common Multiple of Numerators i.e. LCM of 531,7173 is 423207.

GCF of Denominators means GCF of 47,195 as per the given fractions.

GCF of 47,195 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 531,7173

LCM of Fractions 531/47,7173/195 is 423207

3 531, 7173
3 177, 2391
59, 797

∴ So the LCM of the given numbers is 3 x 3 x 59 x 797 = 423207

Least Common Multiple of 531,7173 with GCF Formula

Least Common Multiple of 531,7173 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 531,7173 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(531,7173) = 9

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

GCF(531,7173) x common factors =9 x 1 = 9

LCM(531,7173) = ( 531 × 7173 ) / 9

LCM(531,7173) = 3808863 / 9

LCM(531,7173) = 423207


Lets's calculate GCF of 47,195

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 423207/1

Therefore the LCM of Fractions 531/47,7173/195 is 423207

Greatest Common Factor of 47,195 By Matching Biggest Common Factor Method

Greatest Common Factor of 47,195 By Matching Biggest Common Factor Method

Factors of 47

List of positive integer factors of 47 that divides 47 without a remainder.

1,47

Factors of 195

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

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

Greatest Common Factor

We found the factors 47,195 . The biggest common factor number is the GCF number.
So the greatest common factor 47,195 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 531/47, 7173/195

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 531/47, 7173/195?

Answer: LCM of Numerators as per given numbers 531/47, 7173/195 is

LCM of Numerators i.e. for 531,7173 is 423207

GCF of denominators i.e. for 47,195 is 1.

Thus, LCM of Fractions is 423207.Finally, LCM of Fractions for 531/47, 7173/195 is 423207.