Least Common Multiple of 47/597, 52/643, 531/743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 47/597, 52/643, 531/743 quickly i.e. 1297764 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 47/597, 52/643, 531/743 is 1297764.

LCM(47/597, 52/643, 531/743) = 1297764

LCM of 47/597, 52/643, 531/743

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 47/597,52/643,531/743

Given numbers are 47/597,52/643,531/743

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 47,52,531

Least Common Multiple of Numerators i.e. LCM of 47,52,531 is 1297764.

GCF of Denominators means GCF of 597,643,743 as per the given fractions.

GCF of 597,643,743 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 47,52,531

LCM of Fractions 47/597,52/643,531/743 is 1297764

Given numbers has no common factors except 1. So, there LCM is their product i.e 1297764

Least Common Multiple of 47,52,531 with GCF Formula

Least Common Multiple of 47,52,531 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 47,52,531 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,52,531) = 1

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

GCF(47,52,531) x common factors =1 x 1 = 1

LCM(47,52,531) = ( 47 × 52 × 531 ) / 1

LCM(47,52,531) = 1297764 / 1

LCM(47,52,531) = 1297764


Lets's calculate GCF of 597,643,743

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1297764/1

Therefore the LCM of Fractions 47/597,52/643,531/743 is 1297764

Greatest Common Factor of 597,643,743 By Matching Biggest Common Factor Method

Greatest Common Factor of 597,643,743 By Matching Biggest Common Factor Method

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Factors of 643

List of positive integer factors of 643 that divides 643 without a remainder.

1,643

Factors of 743

List of positive integer factors of 743 that divides 743 without a remainder.

1,743

Greatest Common Factor

We found the factors 597,643,743 . The biggest common factor number is the GCF number.
So the greatest common factor 597,643,743 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 47/597, 52/643, 531/743

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 47/597, 52/643, 531/743?

Answer: LCM of Numerators as per given numbers 47/597, 52/643, 531/743 is

LCM of Numerators i.e. for 47,52,531 is 1297764

GCF of denominators i.e. for 597,643,743 is 1.

Thus, LCM of Fractions is 1297764.Finally, LCM of Fractions for 47/597, 52/643, 531/743 is 1297764.