Least Common Multiple of 789/609, 569/139

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 789/609, 569/139 quickly i.e. 448941 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 789/609, 569/139 is 448941.

LCM(789/609, 569/139) = 448941

LCM of 789/609, 569/139

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 789/609,569/139

Given numbers are 789/609,569/139

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 789,569

Least Common Multiple of Numerators i.e. LCM of 789,569 is 448941.

GCF of Denominators means GCF of 609,139 as per the given fractions.

GCF of 609,139 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 789,569

LCM of Fractions 789/609,569/139 is 448941

Given numbers has no common factors except 1. So, there LCM is their product i.e 448941

Least Common Multiple of 789,569 with GCF Formula

Least Common Multiple of 789,569 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 789,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(789,569) = 1

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

GCF(789,569) x common factors =1 x 1 = 1

LCM(789,569) = ( 789 × 569 ) / 1

LCM(789,569) = 448941 / 1

LCM(789,569) = 448941


Lets's calculate GCF of 609,139

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 448941/1

Therefore the LCM of Fractions 789/609,569/139 is 448941

Greatest Common Factor of 609,139 By Matching Biggest Common Factor Method

Greatest Common Factor of 609,139 By Matching Biggest Common Factor Method

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Factors of 139

List of positive integer factors of 139 that divides 139 without a remainder.

1,139

Greatest Common Factor

We found the factors 609,139 . The biggest common factor number is the GCF number.
So the greatest common factor 609,139 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 789/609, 569/139

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 789/609, 569/139?

Answer: LCM of Numerators as per given numbers 789/609, 569/139 is

LCM of Numerators i.e. for 789,569 is 448941

GCF of denominators i.e. for 609,139 is 1.

Thus, LCM of Fractions is 448941.Finally, LCM of Fractions for 789/609, 569/139 is 448941.