Least Common Multiple of 725/467, 875/718

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 725/467, 875/718 quickly i.e. 25375 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 725/467, 875/718 is 25375.

LCM(725/467, 875/718) = 25375

LCM of 725/467, 875/718

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 725/467,875/718

Given numbers are 725/467,875/718

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 725,875

Least Common Multiple of Numerators i.e. LCM of 725,875 is 25375.

GCF of Denominators means GCF of 467,718 as per the given fractions.

GCF of 467,718 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 725,875

LCM of Fractions 725/467,875/718 is 25375

5 725, 875
5 145, 175
29, 35

∴ So the LCM of the given numbers is 5 x 5 x 29 x 35 = 25375

Least Common Multiple of 725,875 with GCF Formula

Least Common Multiple of 725,875 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 725,875 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(725,875) = 25

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

GCF(725,875) x common factors =25 x 1 = 25

LCM(725,875) = ( 725 × 875 ) / 25

LCM(725,875) = 634375 / 25

LCM(725,875) = 25375


Lets's calculate GCF of 467,718

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25375/1

Therefore the LCM of Fractions 725/467,875/718 is 25375

Greatest Common Factor of 467,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 467,718 By Matching Biggest Common Factor Method

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 467,718 . The biggest common factor number is the GCF number.
So the greatest common factor 467,718 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 725/467, 875/718

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 725/467, 875/718?

Answer: LCM of Numerators as per given numbers 725/467, 875/718 is

LCM of Numerators i.e. for 725,875 is 25375

GCF of denominators i.e. for 467,718 is 1.

Thus, LCM of Fractions is 25375.Finally, LCM of Fractions for 725/467, 875/718 is 25375.