Least Common Multiple of 31/13, 225/81, 351/352

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 31/13, 225/81, 351/352 quickly i.e. 272025 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 31/13, 225/81, 351/352 is 272025.

LCM(31/13, 225/81, 351/352) = 272025

LCM of 31/13, 225/81, 351/352

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 31/13,225/81,351/352

Given numbers are 31/13,225/81,351/352

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 31,225,351

Least Common Multiple of Numerators i.e. LCM of 31,225,351 is 272025.

GCF of Denominators means GCF of 13,81,352 as per the given fractions.

GCF of 13,81,352 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 31,225,351

LCM of Fractions 31/13,225/81,351/352 is 272025

3 31, 225, 351
3 31, 75, 117
31, 25, 39

∴ So the LCM of the given numbers is 3 x 3 x 31 x 25 x 39 = 272025

Least Common Multiple of 31,225,351 with GCF Formula

Least Common Multiple of 31,225,351 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 31,225,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,225,351) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(31,225,351) x common factors =1 x 9 = 9

LCM(31,225,351) = ( 31 × 225 × 351 ) / 9

LCM(31,225,351) = 2448225 / 9

LCM(31,225,351) = 272025


Lets's calculate GCF of 13,81,352

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 272025/1

Therefore the LCM of Fractions 31/13,225/81,351/352 is 272025

Greatest Common Factor of 13,81,352 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,81,352 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 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 352

List of positive integer factors of 352 that divides 352 without a remainder.

1,2,4,8,11,16,22,32,44,88,176,352

Greatest Common Factor

We found the factors 13,81,352 . The biggest common factor number is the GCF number.
So the greatest common factor 13,81,352 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 31/13, 225/81, 351/352

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 31/13, 225/81, 351/352?

Answer: LCM of Numerators as per given numbers 31/13, 225/81, 351/352 is

LCM of Numerators i.e. for 31,225,351 is 272025

GCF of denominators i.e. for 13,81,352 is 1.

Thus, LCM of Fractions is 272025.Finally, LCM of Fractions for 31/13, 225/81, 351/352 is 272025.