Least Common Multiple of 523/681, 609/261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 523/681, 609/261 quickly i.e. 106169 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 523/681, 609/261 is 106169.

LCM(523/681, 609/261) = 106169

LCM of 523/681, 609/261

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 523/681,609/261

Given numbers are 523/681,609/261

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 523,609

Least Common Multiple of Numerators i.e. LCM of 523,609 is 318507.

GCF of Denominators means GCF of 681,261 as per the given fractions.

GCF of 681,261 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 523,609

LCM of Fractions 523/681,609/261 is 106169

Given numbers has no common factors except 1. So, there LCM is their product i.e 318507

Least Common Multiple of 523,609 with GCF Formula

Least Common Multiple of 523,609 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 523,609 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(523,609) = 1

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

GCF(523,609) x common factors =1 x 1 = 1

LCM(523,609) = ( 523 × 609 ) / 1

LCM(523,609) = 318507 / 1

LCM(523,609) = 318507


Lets's calculate GCF of 681,261

3 681, 261
227, 87

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 318507/3

Therefore the LCM of Fractions 523/681,609/261 is 106169

Greatest Common Factor of 681,261 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,261 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 261

List of positive integer factors of 261 that divides 261 without a remainder.

1,3,9,29,87,261

Greatest Common Factor

We found the factors 681,261 . The biggest common factor number is the GCF number.
So the greatest common factor 681,261 is 3.


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 523/681, 609/261

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 523/681, 609/261?

Answer: LCM of Numerators as per given numbers 523/681, 609/261 is

LCM of Numerators i.e. for 523,609 is 318507

GCF of denominators i.e. for 681,261 is 3.

Thus, LCM of Fractions is 106169.Finally, LCM of Fractions for 523/681, 609/261 is 106169.