Least Common Multiple of 1268/720, 3612/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1268/720, 3612/766 quickly i.e. 572502 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1268/720, 3612/766 is 572502.

LCM(1268/720, 3612/766) = 572502

LCM of 1268/720, 3612/766

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 1268/720,3612/766

Given numbers are 1268/720,3612/766

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 1268,3612

Least Common Multiple of Numerators i.e. LCM of 1268,3612 is 1145004.

GCF of Denominators means GCF of 720,766 as per the given fractions.

GCF of 720,766 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1268,3612

LCM of Fractions 1268/720,3612/766 is 572502

2 1268, 3612
2 634, 1806
317, 903

∴ So the LCM of the given numbers is 2 x 2 x 317 x 903 = 1145004

Least Common Multiple of 1268,3612 with GCF Formula

Least Common Multiple of 1268,3612 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 1268,3612 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1268,3612) = 4

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

GCF(1268,3612) x common factors =4 x 1 = 4

LCM(1268,3612) = ( 1268 × 3612 ) / 4

LCM(1268,3612) = 4580016 / 4

LCM(1268,3612) = 1145004


Lets's calculate GCF of 720,766

2 720, 766
360, 383

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1145004/2

Therefore the LCM of Fractions 1268/720,3612/766 is 572502

Greatest Common Factor of 720,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 720,766 By Matching Biggest Common Factor Method

Factors of 720

List of positive integer factors of 720 that divides 720 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 720,766 . The biggest common factor number is the GCF number.
So the greatest common factor 720,766 is 2.


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 1268/720, 3612/766

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 1268/720, 3612/766?

Answer: LCM of Numerators as per given numbers 1268/720, 3612/766 is

LCM of Numerators i.e. for 1268,3612 is 1145004

GCF of denominators i.e. for 720,766 is 2.

Thus, LCM of Fractions is 572502.Finally, LCM of Fractions for 1268/720, 3612/766 is 572502.