Least Common Multiple of 71/258, 26/598, 352/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 71/258, 26/598, 352/331 quickly i.e. 324896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 71/258, 26/598, 352/331 is 324896.

LCM(71/258, 26/598, 352/331) = 324896

LCM of 71/258, 26/598, 352/331

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 71/258,26/598,352/331

Given numbers are 71/258,26/598,352/331

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 71,26,352

Least Common Multiple of Numerators i.e. LCM of 71,26,352 is 324896.

GCF of Denominators means GCF of 258,598,331 as per the given fractions.

GCF of 258,598,331 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 71,26,352

LCM of Fractions 71/258,26/598,352/331 is 324896

2 71, 26, 352
71, 13, 176

∴ So the LCM of the given numbers is 2 x 71 x 13 x 176 = 324896

Least Common Multiple of 71,26,352 with GCF Formula

Least Common Multiple of 71,26,352 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 71,26,352 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,26,352) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(71,26,352) x common factors =1 x 2 = 2

LCM(71,26,352) = ( 71 × 26 × 352 ) / 2

LCM(71,26,352) = 649792 / 2

LCM(71,26,352) = 324896


Lets's calculate GCF of 258,598,331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 324896/1

Therefore the LCM of Fractions 71/258,26/598,352/331 is 324896

Greatest Common Factor of 258,598,331 By Matching Biggest Common Factor Method

Greatest Common Factor of 258,598,331 By Matching Biggest Common Factor Method

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Factors of 598

List of positive integer factors of 598 that divides 598 without a remainder.

1,2,13,23,26,46,299,598

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Greatest Common Factor

We found the factors 258,598,331 . The biggest common factor number is the GCF number.
So the greatest common factor 258,598,331 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 71/258, 26/598, 352/331

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 71/258, 26/598, 352/331?

Answer: LCM of Numerators as per given numbers 71/258, 26/598, 352/331 is

LCM of Numerators i.e. for 71,26,352 is 324896

GCF of denominators i.e. for 258,598,331 is 1.

Thus, LCM of Fractions is 324896.Finally, LCM of Fractions for 71/258, 26/598, 352/331 is 324896.