Least Common Multiple of 258/725, 2912/232

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 258/725, 2912/232 quickly i.e. 375648/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 258/725, 2912/232 is 375648/29.

LCM(258/725, 2912/232) = 375648/29

LCM of 258/725, 2912/232

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 258/725,2912/232

Given numbers are 258/725,2912/232

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 258,2912

Least Common Multiple of Numerators i.e. LCM of 258,2912 is 375648.

GCF of Denominators means GCF of 725,232 as per the given fractions.

GCF of 725,232 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 258,2912

LCM of Fractions 258/725,2912/232 is 375648/29

2 258, 2912
129, 1456

∴ So the LCM of the given numbers is 2 x 129 x 1456 = 375648

Least Common Multiple of 258,2912 with GCF Formula

Least Common Multiple of 258,2912 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 258,2912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(258,2912) = 2

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

GCF(258,2912) x common factors =2 x 1 = 2

LCM(258,2912) = ( 258 × 2912 ) / 2

LCM(258,2912) = 751296 / 2

LCM(258,2912) = 375648


Lets's calculate GCF of 725,232

29 725, 232
25, 8

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 375648/29

Therefore the LCM of Fractions 258/725,2912/232 is 375648/29

Greatest Common Factor of 725,232 By Matching Biggest Common Factor Method

Greatest Common Factor of 725,232 By Matching Biggest Common Factor Method

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Factors of 232

List of positive integer factors of 232 that divides 232 without a remainder.

1,2,4,8,29,58,116,232

Greatest Common Factor

We found the factors 725,232 . The biggest common factor number is the GCF number.
So the greatest common factor 725,232 is 29.


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 258/725, 2912/232

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 258/725, 2912/232?

Answer: LCM of Numerators as per given numbers 258/725, 2912/232 is

LCM of Numerators i.e. for 258,2912 is 375648

GCF of denominators i.e. for 725,232 is 29.

Thus, LCM of Fractions is 375648/29.Finally, LCM of Fractions for 258/725, 2912/232 is 375648/29.