Least Common Multiple of 86/618, 27/727, 261/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/618, 27/727, 261/449 quickly i.e. 67338 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/618, 27/727, 261/449 is 67338.

LCM(86/618, 27/727, 261/449) = 67338

LCM of 86/618, 27/727, 261/449

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 86/618,27/727,261/449

Given numbers are 86/618,27/727,261/449

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 86,27,261

Least Common Multiple of Numerators i.e. LCM of 86,27,261 is 67338.

GCF of Denominators means GCF of 618,727,449 as per the given fractions.

GCF of 618,727,449 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,27,261

LCM of Fractions 86/618,27/727,261/449 is 67338

3 86, 27, 261
3 86, 9, 87
86, 3, 29

∴ So the LCM of the given numbers is 3 x 3 x 86 x 3 x 29 = 67338

Least Common Multiple of 86,27,261 with GCF Formula

Least Common Multiple of 86,27,261 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 86,27,261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,27,261) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(86,27,261) x common factors =1 x 9 = 9

LCM(86,27,261) = ( 86 × 27 × 261 ) / 9

LCM(86,27,261) = 606042 / 9

LCM(86,27,261) = 67338


Lets's calculate GCF of 618,727,449

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67338/1

Therefore the LCM of Fractions 86/618,27/727,261/449 is 67338

Greatest Common Factor of 618,727,449 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,727,449 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Factors of 449

List of positive integer factors of 449 that divides 449 without a remainder.

1,449

Greatest Common Factor

We found the factors 618,727,449 . The biggest common factor number is the GCF number.
So the greatest common factor 618,727,449 is 1.


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 86/618, 27/727, 261/449

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 86/618, 27/727, 261/449?

Answer: LCM of Numerators as per given numbers 86/618, 27/727, 261/449 is

LCM of Numerators i.e. for 86,27,261 is 67338

GCF of denominators i.e. for 618,727,449 is 1.

Thus, LCM of Fractions is 67338.Finally, LCM of Fractions for 86/618, 27/727, 261/449 is 67338.