Least Common Multiple of 65/864, 12/686, 323/132

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 65/864, 12/686, 323/132 quickly i.e. 125970 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 65/864, 12/686, 323/132 is 125970.

LCM(65/864, 12/686, 323/132) = 125970

LCM of 65/864, 12/686, 323/132

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 65/864,12/686,323/132

Given numbers are 65/864,12/686,323/132

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 65,12,323

Least Common Multiple of Numerators i.e. LCM of 65,12,323 is 251940.

GCF of Denominators means GCF of 864,686,132 as per the given fractions.

GCF of 864,686,132 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 65,12,323

LCM of Fractions 65/864,12/686,323/132 is 125970

Given numbers has no common factors except 1. So, there LCM is their product i.e 251940

Least Common Multiple of 65,12,323 with GCF Formula

Least Common Multiple of 65,12,323 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 65,12,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,12,323) = 1

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

GCF(65,12,323) x common factors =1 x 1 = 1

LCM(65,12,323) = ( 65 × 12 × 323 ) / 1

LCM(65,12,323) = 251940 / 1

LCM(65,12,323) = 251940


Lets's calculate GCF of 864,686,132

2 864, 686, 132
432, 343, 66

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 251940/2

Therefore the LCM of Fractions 65/864,12/686,323/132 is 125970

Greatest Common Factor of 864,686,132 By Matching Biggest Common Factor Method

Greatest Common Factor of 864,686,132 By Matching Biggest Common Factor Method

Factors of 864

List of positive integer factors of 864 that divides 864 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,32,36,48,54,72,96,108,144,216,288,432,864

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 132

List of positive integer factors of 132 that divides 132 without a remainder.

1,2,3,4,6,11,12,22,33,44,66,132

Greatest Common Factor

We found the factors 864,686,132 . The biggest common factor number is the GCF number.
So the greatest common factor 864,686,132 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 65/864, 12/686, 323/132

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 65/864, 12/686, 323/132?

Answer: LCM of Numerators as per given numbers 65/864, 12/686, 323/132 is

LCM of Numerators i.e. for 65,12,323 is 251940

GCF of denominators i.e. for 864,686,132 is 2.

Thus, LCM of Fractions is 125970.Finally, LCM of Fractions for 65/864, 12/686, 323/132 is 125970.