Least Common Multiple of 709/72, 666/12, 260/256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 709/72, 666/12, 260/256 quickly i.e. 15346305 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 709/72, 666/12, 260/256 is 15346305.

LCM(709/72, 666/12, 260/256) = 15346305

LCM of 709/72, 666/12, 260/256

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 709/72,666/12,260/256

Given numbers are 709/72,666/12,260/256

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 709,666,260

Least Common Multiple of Numerators i.e. LCM of 709,666,260 is 61385220.

GCF of Denominators means GCF of 72,12,256 as per the given fractions.

GCF of 72,12,256 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 709,666,260

LCM of Fractions 709/72,666/12,260/256 is 15346305

2 709, 666, 260
709, 333, 130

∴ So the LCM of the given numbers is 2 x 709 x 333 x 130 = 61385220

Least Common Multiple of 709,666,260 with GCF Formula

Least Common Multiple of 709,666,260 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 709,666,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(709,666,260) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(709,666,260) x common factors =1 x 2 = 2

LCM(709,666,260) = ( 709 × 666 × 260 ) / 2

LCM(709,666,260) = 122770440 / 2

LCM(709,666,260) = 61385220


Lets's calculate GCF of 72,12,256

2 72, 12, 256
2 36, 6, 128
18, 3, 64

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61385220/4

Therefore the LCM of Fractions 709/72,666/12,260/256 is 15346305

Greatest Common Factor of 72,12,256 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,12,256 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 256

List of positive integer factors of 256 that divides 256 without a remainder.

1,2,4,8,16,32,64,128,256

Greatest Common Factor

We found the factors 72,12,256 . The biggest common factor number is the GCF number.
So the greatest common factor 72,12,256 is 4.


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 709/72, 666/12, 260/256

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 709/72, 666/12, 260/256?

Answer: LCM of Numerators as per given numbers 709/72, 666/12, 260/256 is

LCM of Numerators i.e. for 709,666,260 is 61385220

GCF of denominators i.e. for 72,12,256 is 4.

Thus, LCM of Fractions is 15346305.Finally, LCM of Fractions for 709/72, 666/12, 260/256 is 15346305.