Least Common Multiple of 524/591, 1196/3199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 524/591, 1196/3199 quickly i.e. 156676 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 524/591, 1196/3199 is 156676.

LCM(524/591, 1196/3199) = 156676

LCM of 524/591, 1196/3199

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 524/591,1196/3199

Given numbers are 524/591,1196/3199

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 524,1196

Least Common Multiple of Numerators i.e. LCM of 524,1196 is 156676.

GCF of Denominators means GCF of 591,3199 as per the given fractions.

GCF of 591,3199 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 524,1196

LCM of Fractions 524/591,1196/3199 is 156676

2 524, 1196
2 262, 598
131, 299

∴ So the LCM of the given numbers is 2 x 2 x 131 x 299 = 156676

Least Common Multiple of 524,1196 with GCF Formula

Least Common Multiple of 524,1196 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 524,1196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(524,1196) = 4

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

GCF(524,1196) x common factors =4 x 1 = 4

LCM(524,1196) = ( 524 × 1196 ) / 4

LCM(524,1196) = 626704 / 4

LCM(524,1196) = 156676


Lets's calculate GCF of 591,3199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 156676/1

Therefore the LCM of Fractions 524/591,1196/3199 is 156676

Greatest Common Factor of 591,3199 By Matching Biggest Common Factor Method

Greatest Common Factor of 591,3199 By Matching Biggest Common Factor Method

Factors of 591

List of positive integer factors of 591 that divides 591 without a remainder.

1,3,197,591

Factors of 3199

List of positive integer factors of 3199 that divides 3199 without a remainder.

1,7,457,3199

Greatest Common Factor

We found the factors 591,3199 . The biggest common factor number is the GCF number.
So the greatest common factor 591,3199 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 524/591, 1196/3199

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 524/591, 1196/3199?

Answer: LCM of Numerators as per given numbers 524/591, 1196/3199 is

LCM of Numerators i.e. for 524,1196 is 156676

GCF of denominators i.e. for 591,3199 is 1.

Thus, LCM of Fractions is 156676.Finally, LCM of Fractions for 524/591, 1196/3199 is 156676.