Least Common Multiple of 12/667, 81/644, 360/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/667, 81/644, 360/477 quickly i.e. 3240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/667, 81/644, 360/477 is 3240.

LCM(12/667, 81/644, 360/477) = 3240

LCM of 12/667, 81/644, 360/477

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 12/667,81/644,360/477

Given numbers are 12/667,81/644,360/477

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 12,81,360

Least Common Multiple of Numerators i.e. LCM of 12,81,360 is 3240.

GCF of Denominators means GCF of 667,644,477 as per the given fractions.

GCF of 667,644,477 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,81,360

LCM of Fractions 12/667,81/644,360/477 is 3240

2 12, 81, 360
2 6, 81, 180
3 3, 81, 90
3 1, 27, 30
1, 9, 10

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 1 x 9 x 10 = 3240

Least Common Multiple of 12,81,360 with GCF Formula

Least Common Multiple of 12,81,360 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 12,81,360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,81,360) = 3

common factors(in case of two or more numbers have common factors) = 36

GCF(12,81,360) x common factors =3 x 36 = 108

LCM(12,81,360) = ( 12 × 81 × 360 ) / 108

LCM(12,81,360) = 349920 / 108

LCM(12,81,360) = 3240


Lets's calculate GCF of 667,644,477

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3240/1

Therefore the LCM of Fractions 12/667,81/644,360/477 is 3240

Greatest Common Factor of 667,644,477 By Matching Biggest Common Factor Method

Greatest Common Factor of 667,644,477 By Matching Biggest Common Factor Method

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Greatest Common Factor

We found the factors 667,644,477 . The biggest common factor number is the GCF number.
So the greatest common factor 667,644,477 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 12/667, 81/644, 360/477

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 12/667, 81/644, 360/477?

Answer: LCM of Numerators as per given numbers 12/667, 81/644, 360/477 is

LCM of Numerators i.e. for 12,81,360 is 3240

GCF of denominators i.e. for 667,644,477 is 1.

Thus, LCM of Fractions is 3240.Finally, LCM of Fractions for 12/667, 81/644, 360/477 is 3240.