Least Common Multiple of 15/30, 71/768, 621/324

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 15/30, 71/768, 621/324 quickly i.e. 220455/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 15/30, 71/768, 621/324 is 220455/6.

LCM(15/30, 71/768, 621/324) = 220455/6

LCM of 15/30, 71/768, 621/324

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 15/30,71/768,621/324

Given numbers are 15/30,71/768,621/324

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 15,71,621

Least Common Multiple of Numerators i.e. LCM of 15,71,621 is 220455.

GCF of Denominators means GCF of 30,768,324 as per the given fractions.

GCF of 30,768,324 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 15,71,621

LCM of Fractions 15/30,71/768,621/324 is 220455/6

3 15, 71, 621
5, 71, 207

∴ So the LCM of the given numbers is 3 x 5 x 71 x 207 = 220455

Least Common Multiple of 15,71,621 with GCF Formula

Least Common Multiple of 15,71,621 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 15,71,621 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,71,621) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(15,71,621) x common factors =1 x 3 = 3

LCM(15,71,621) = ( 15 × 71 × 621 ) / 3

LCM(15,71,621) = 661365 / 3

LCM(15,71,621) = 220455


Lets's calculate GCF of 30,768,324

2 30, 768, 324
3 15, 384, 162
5, 128, 54

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 220455/6

Therefore the LCM of Fractions 15/30,71/768,621/324 is 220455/6

Greatest Common Factor of 30,768,324 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,768,324 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Greatest Common Factor

We found the factors 30,768,324 . The biggest common factor number is the GCF number.
So the greatest common factor 30,768,324 is 6.


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 15/30, 71/768, 621/324

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 15/30, 71/768, 621/324?

Answer: LCM of Numerators as per given numbers 15/30, 71/768, 621/324 is

LCM of Numerators i.e. for 15,71,621 is 220455

GCF of denominators i.e. for 30,768,324 is 6.

Thus, LCM of Fractions is 220455/6.Finally, LCM of Fractions for 15/30, 71/768, 621/324 is 220455/6.