Least Common Multiple of 347/13, 587/38, 253/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 347/13, 587/38, 253/524 quickly i.e. 51533317 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 347/13, 587/38, 253/524 is 51533317.

LCM(347/13, 587/38, 253/524) = 51533317

LCM of 347/13, 587/38, 253/524

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 347/13,587/38,253/524

Given numbers are 347/13,587/38,253/524

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 347,587,253

Least Common Multiple of Numerators i.e. LCM of 347,587,253 is 51533317.

GCF of Denominators means GCF of 13,38,524 as per the given fractions.

GCF of 13,38,524 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 347,587,253

LCM of Fractions 347/13,587/38,253/524 is 51533317

Given numbers has no common factors except 1. So, there LCM is their product i.e 51533317

Least Common Multiple of 347,587,253 with GCF Formula

Least Common Multiple of 347,587,253 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 347,587,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(347,587,253) = 1

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

GCF(347,587,253) x common factors =1 x 1 = 1

LCM(347,587,253) = ( 347 × 587 × 253 ) / 1

LCM(347,587,253) = 51533317 / 1

LCM(347,587,253) = 51533317


Lets's calculate GCF of 13,38,524

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51533317/1

Therefore the LCM of Fractions 347/13,587/38,253/524 is 51533317

Greatest Common Factor of 13,38,524 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,38,524 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 524

List of positive integer factors of 524 that divides 524 without a remainder.

1,2,4,131,262,524

Greatest Common Factor

We found the factors 13,38,524 . The biggest common factor number is the GCF number.
So the greatest common factor 13,38,524 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 347/13, 587/38, 253/524

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 347/13, 587/38, 253/524?

Answer: LCM of Numerators as per given numbers 347/13, 587/38, 253/524 is

LCM of Numerators i.e. for 347,587,253 is 51533317

GCF of denominators i.e. for 13,38,524 is 1.

Thus, LCM of Fractions is 51533317.Finally, LCM of Fractions for 347/13, 587/38, 253/524 is 51533317.