Least Common Multiple of 12/173, 204/513, 330/390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 12/173, 204/513, 330/390 quickly i.e. 11220 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 12/173, 204/513, 330/390 is 11220.

LCM(12/173, 204/513, 330/390) = 11220

LCM of 12/173, 204/513, 330/390

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 12/173,204/513,330/390

Given numbers are 12/173,204/513,330/390

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 12,204,330

Least Common Multiple of Numerators i.e. LCM of 12,204,330 is 11220.

GCF of Denominators means GCF of 173,513,390 as per the given fractions.

GCF of 173,513,390 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 12,204,330

LCM of Fractions 12/173,204/513,330/390 is 11220

2 12, 204, 330
2 6, 102, 165
3 3, 51, 165
1, 17, 55

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 17 x 55 = 11220

Least Common Multiple of 12,204,330 with GCF Formula

Least Common Multiple of 12,204,330 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 12,204,330 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,204,330) = 6

common factors(in case of two or more numbers have common factors) = 12

GCF(12,204,330) x common factors =6 x 12 = 72

LCM(12,204,330) = ( 12 × 204 × 330 ) / 72

LCM(12,204,330) = 807840 / 72

LCM(12,204,330) = 11220


Lets's calculate GCF of 173,513,390

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11220/1

Therefore the LCM of Fractions 12/173,204/513,330/390 is 11220

Greatest Common Factor of 173,513,390 By Matching Biggest Common Factor Method

Greatest Common Factor of 173,513,390 By Matching Biggest Common Factor Method

Factors of 173

List of positive integer factors of 173 that divides 173 without a remainder.

1,173

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 390

List of positive integer factors of 390 that divides 390 without a remainder.

1,2,3,5,6,10,13,15,26,30,39,65,78,130,195,390

Greatest Common Factor

We found the factors 173,513,390 . The biggest common factor number is the GCF number.
So the greatest common factor 173,513,390 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 12/173, 204/513, 330/390

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 12/173, 204/513, 330/390?

Answer: LCM of Numerators as per given numbers 12/173, 204/513, 330/390 is

LCM of Numerators i.e. for 12,204,330 is 11220

GCF of denominators i.e. for 173,513,390 is 1.

Thus, LCM of Fractions is 11220.Finally, LCM of Fractions for 12/173, 204/513, 330/390 is 11220.