Least Common Multiple of 725/598, 605/920

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 725/598, 605/920 quickly i.e. 87725/46 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 725/598, 605/920 is 87725/46.

LCM(725/598, 605/920) = 87725/46

LCM of 725/598, 605/920

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 725/598,605/920

Given numbers are 725/598,605/920

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 725,605

Least Common Multiple of Numerators i.e. LCM of 725,605 is 87725.

GCF of Denominators means GCF of 598,920 as per the given fractions.

GCF of 598,920 is 46 as it is the largest common factor for these numbers.

Lets's calculate LCM of 725,605

LCM of Fractions 725/598,605/920 is 87725/46

5 725, 605
145, 121

∴ So the LCM of the given numbers is 5 x 145 x 121 = 87725

Least Common Multiple of 725,605 with GCF Formula

Least Common Multiple of 725,605 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 725,605 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(725,605) = 5

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

GCF(725,605) x common factors =5 x 1 = 5

LCM(725,605) = ( 725 × 605 ) / 5

LCM(725,605) = 438625 / 5

LCM(725,605) = 87725


Lets's calculate GCF of 598,920

2 598, 920
23 299, 460
13, 20

∴ So the GCF of the given numbers is 2 x 23 = 46

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87725/46

Therefore the LCM of Fractions 725/598,605/920 is 87725/46

Greatest Common Factor of 598,920 By Matching Biggest Common Factor Method

Greatest Common Factor of 598,920 By Matching Biggest Common Factor Method

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 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Greatest Common Factor

We found the factors 598,920 . The biggest common factor number is the GCF number.
So the greatest common factor 598,920 is 46.


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 725/598, 605/920

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 725/598, 605/920?

Answer: LCM of Numerators as per given numbers 725/598, 605/920 is

LCM of Numerators i.e. for 725,605 is 87725

GCF of denominators i.e. for 598,920 is 46.

Thus, LCM of Fractions is 87725/46.Finally, LCM of Fractions for 725/598, 605/920 is 87725/46.