Least Common Multiple of 13/132, 6324/8460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 13/132, 6324/8460 quickly i.e. 6851 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 13/132, 6324/8460 is 6851.

LCM(13/132, 6324/8460) = 6851

LCM of 13/132, 6324/8460

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 13/132,6324/8460

Given numbers are 13/132,6324/8460

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 13,6324

Least Common Multiple of Numerators i.e. LCM of 13,6324 is 82212.

GCF of Denominators means GCF of 132,8460 as per the given fractions.

GCF of 132,8460 is 12 as it is the largest common factor for these numbers.

Lets's calculate LCM of 13,6324

LCM of Fractions 13/132,6324/8460 is 6851

Given numbers has no common factors except 1. So, there LCM is their product i.e 82212

Least Common Multiple of 13,6324 with GCF Formula

Least Common Multiple of 13,6324 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 13,6324 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,6324) = 1

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

GCF(13,6324) x common factors =1 x 1 = 1

LCM(13,6324) = ( 13 × 6324 ) / 1

LCM(13,6324) = 82212 / 1

LCM(13,6324) = 82212


Lets's calculate GCF of 132,8460

2 132, 8460
2 66, 4230
3 33, 2115
11, 705

∴ So the GCF of the given numbers is 2 x 2 x 3 = 12

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82212/12

Therefore the LCM of Fractions 13/132,6324/8460 is 6851

Greatest Common Factor of 132,8460 By Matching Biggest Common Factor Method

Greatest Common Factor of 132,8460 By Matching Biggest Common Factor Method

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

Factors of 8460

List of positive integer factors of 8460 that divides 8460 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,47,60,90,94,141,180,188,235,282,423,470,564,705,846,940,1410,1692,2115,2820,4230,8460

Greatest Common Factor

We found the factors 132,8460 . The biggest common factor number is the GCF number.
So the greatest common factor 132,8460 is 12.


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 13/132, 6324/8460

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 13/132, 6324/8460?

Answer: LCM of Numerators as per given numbers 13/132, 6324/8460 is

LCM of Numerators i.e. for 13,6324 is 82212

GCF of denominators i.e. for 132,8460 is 12.

Thus, LCM of Fractions is 6851.Finally, LCM of Fractions for 13/132, 6324/8460 is 6851.