Least Common Multiple of 731/171, 7593/623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 731/171, 7593/623 quickly i.e. 5550483 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 731/171, 7593/623 is 5550483.

LCM(731/171, 7593/623) = 5550483

LCM of 731/171, 7593/623

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 731/171,7593/623

Given numbers are 731/171,7593/623

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 731,7593

Least Common Multiple of Numerators i.e. LCM of 731,7593 is 5550483.

GCF of Denominators means GCF of 171,623 as per the given fractions.

GCF of 171,623 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 731,7593

LCM of Fractions 731/171,7593/623 is 5550483

Given numbers has no common factors except 1. So, there LCM is their product i.e 5550483

Least Common Multiple of 731,7593 with GCF Formula

Least Common Multiple of 731,7593 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 731,7593 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,7593) = 1

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

GCF(731,7593) x common factors =1 x 1 = 1

LCM(731,7593) = ( 731 × 7593 ) / 1

LCM(731,7593) = 5550483 / 1

LCM(731,7593) = 5550483


Lets's calculate GCF of 171,623

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5550483/1

Therefore the LCM of Fractions 731/171,7593/623 is 5550483

Greatest Common Factor of 171,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,623 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 171,623 . The biggest common factor number is the GCF number.
So the greatest common factor 171,623 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 731/171, 7593/623

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 731/171, 7593/623?

Answer: LCM of Numerators as per given numbers 731/171, 7593/623 is

LCM of Numerators i.e. for 731,7593 is 5550483

GCF of denominators i.e. for 171,623 is 1.

Thus, LCM of Fractions is 5550483.Finally, LCM of Fractions for 731/171, 7593/623 is 5550483.