Least Common Multiple of 260/81, 601/15, 706/285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 260/81, 601/15, 706/285 quickly i.e. 55159780/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 260/81, 601/15, 706/285 is 55159780/3.

LCM(260/81, 601/15, 706/285) = 55159780/3

LCM of 260/81, 601/15, 706/285

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 260/81,601/15,706/285

Given numbers are 260/81,601/15,706/285

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 260,601,706

Least Common Multiple of Numerators i.e. LCM of 260,601,706 is 55159780.

GCF of Denominators means GCF of 81,15,285 as per the given fractions.

GCF of 81,15,285 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 260,601,706

LCM of Fractions 260/81,601/15,706/285 is 55159780/3

2 260, 601, 706
130, 601, 353

∴ So the LCM of the given numbers is 2 x 130 x 601 x 353 = 55159780

Least Common Multiple of 260,601,706 with GCF Formula

Least Common Multiple of 260,601,706 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 260,601,706 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,601,706) = 1

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

GCF(260,601,706) x common factors =1 x 2 = 2

LCM(260,601,706) = ( 260 × 601 × 706 ) / 2

LCM(260,601,706) = 110319560 / 2

LCM(260,601,706) = 55159780


Lets's calculate GCF of 81,15,285

3 81, 15, 285
27, 5, 95

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55159780/3

Therefore the LCM of Fractions 260/81,601/15,706/285 is 55159780/3

Greatest Common Factor of 81,15,285 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,15,285 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 285

List of positive integer factors of 285 that divides 285 without a remainder.

1,3,5,15,19,57,95,285

Greatest Common Factor

We found the factors 81,15,285 . The biggest common factor number is the GCF number.
So the greatest common factor 81,15,285 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 260/81, 601/15, 706/285

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 260/81, 601/15, 706/285?

Answer: LCM of Numerators as per given numbers 260/81, 601/15, 706/285 is

LCM of Numerators i.e. for 260,601,706 is 55159780

GCF of denominators i.e. for 81,15,285 is 3.

Thus, LCM of Fractions is 55159780/3.Finally, LCM of Fractions for 260/81, 601/15, 706/285 is 55159780/3.