Least Common Multiple of 726/78, 561/1065

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/78, 561/1065 quickly i.e. 4114 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/78, 561/1065 is 4114.

LCM(726/78, 561/1065) = 4114

LCM of 726/78, 561/1065

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 726/78,561/1065

Given numbers are 726/78,561/1065

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 726,561

Least Common Multiple of Numerators i.e. LCM of 726,561 is 12342.

GCF of Denominators means GCF of 78,1065 as per the given fractions.

GCF of 78,1065 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,561

LCM of Fractions 726/78,561/1065 is 4114

3 726, 561
11 242, 187
22, 17

∴ So the LCM of the given numbers is 3 x 11 x 22 x 17 = 12342

Least Common Multiple of 726,561 with GCF Formula

Least Common Multiple of 726,561 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 726,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,561) = 33

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

GCF(726,561) x common factors =33 x 1 = 33

LCM(726,561) = ( 726 × 561 ) / 33

LCM(726,561) = 407286 / 33

LCM(726,561) = 12342


Lets's calculate GCF of 78,1065

3 78, 1065
26, 355

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12342/3

Therefore the LCM of Fractions 726/78,561/1065 is 4114

Greatest Common Factor of 78,1065 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,1065 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 1065

List of positive integer factors of 1065 that divides 1065 without a remainder.

1,3,5,15,71,213,355,1065

Greatest Common Factor

We found the factors 78,1065 . The biggest common factor number is the GCF number.
So the greatest common factor 78,1065 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 726/78, 561/1065

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 726/78, 561/1065?

Answer: LCM of Numerators as per given numbers 726/78, 561/1065 is

LCM of Numerators i.e. for 726,561 is 12342

GCF of denominators i.e. for 78,1065 is 3.

Thus, LCM of Fractions is 4114.Finally, LCM of Fractions for 726/78, 561/1065 is 4114.