Least Common Multiple of 528/599, 789/185

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 528/599, 789/185 quickly i.e. 138864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 528/599, 789/185 is 138864.

LCM(528/599, 789/185) = 138864

LCM of 528/599, 789/185

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 528/599,789/185

Given numbers are 528/599,789/185

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 528,789

Least Common Multiple of Numerators i.e. LCM of 528,789 is 138864.

GCF of Denominators means GCF of 599,185 as per the given fractions.

GCF of 599,185 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 528,789

LCM of Fractions 528/599,789/185 is 138864

3 528, 789
176, 263

∴ So the LCM of the given numbers is 3 x 176 x 263 = 138864

Least Common Multiple of 528,789 with GCF Formula

Least Common Multiple of 528,789 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 528,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(528,789) = 3

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

GCF(528,789) x common factors =3 x 1 = 3

LCM(528,789) = ( 528 × 789 ) / 3

LCM(528,789) = 416592 / 3

LCM(528,789) = 138864


Lets's calculate GCF of 599,185

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 138864/1

Therefore the LCM of Fractions 528/599,789/185 is 138864

Greatest Common Factor of 599,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 599,185 By Matching Biggest Common Factor Method

Factors of 599

List of positive integer factors of 599 that divides 599 without a remainder.

1,599

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 599,185 . The biggest common factor number is the GCF number.
So the greatest common factor 599,185 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 528/599, 789/185

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 528/599, 789/185?

Answer: LCM of Numerators as per given numbers 528/599, 789/185 is

LCM of Numerators i.e. for 528,789 is 138864

GCF of denominators i.e. for 599,185 is 1.

Thus, LCM of Fractions is 138864.Finally, LCM of Fractions for 528/599, 789/185 is 138864.