Least Common Multiple of 719/638, 564/261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 719/638, 564/261 quickly i.e. 405516/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 719/638, 564/261 is 405516/29.

LCM(719/638, 564/261) = 405516/29

LCM of 719/638, 564/261

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 719/638,564/261

Given numbers are 719/638,564/261

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 719,564

Least Common Multiple of Numerators i.e. LCM of 719,564 is 405516.

GCF of Denominators means GCF of 638,261 as per the given fractions.

GCF of 638,261 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 719,564

LCM of Fractions 719/638,564/261 is 405516/29

Given numbers has no common factors except 1. So, there LCM is their product i.e 405516

Least Common Multiple of 719,564 with GCF Formula

Least Common Multiple of 719,564 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 719,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(719,564) = 1

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

GCF(719,564) x common factors =1 x 1 = 1

LCM(719,564) = ( 719 × 564 ) / 1

LCM(719,564) = 405516 / 1

LCM(719,564) = 405516


Lets's calculate GCF of 638,261

29 638, 261
22, 9

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 405516/29

Therefore the LCM of Fractions 719/638,564/261 is 405516/29

Greatest Common Factor of 638,261 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,261 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

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 638,261 . The biggest common factor number is the GCF number.
So the greatest common factor 638,261 is 29.


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 719/638, 564/261

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 719/638, 564/261?

Answer: LCM of Numerators as per given numbers 719/638, 564/261 is

LCM of Numerators i.e. for 719,564 is 405516

GCF of denominators i.e. for 638,261 is 29.

Thus, LCM of Fractions is 405516/29.Finally, LCM of Fractions for 719/638, 564/261 is 405516/29.