Least Common Multiple of 288/83, 468/90, 421/30

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/83, 468/90, 421/30 quickly i.e. 1576224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/83, 468/90, 421/30 is 1576224.

LCM(288/83, 468/90, 421/30) = 1576224

LCM of 288/83, 468/90, 421/30

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 288/83,468/90,421/30

Given numbers are 288/83,468/90,421/30

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 288,468,421

Least Common Multiple of Numerators i.e. LCM of 288,468,421 is 1576224.

GCF of Denominators means GCF of 83,90,30 as per the given fractions.

GCF of 83,90,30 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,468,421

LCM of Fractions 288/83,468/90,421/30 is 1576224

2 288, 468, 421
2 144, 234, 421
3 72, 117, 421
3 24, 39, 421
8, 13, 421

∴ So the LCM of the given numbers is 2 x 2 x 3 x 3 x 8 x 13 x 421 = 1576224

Least Common Multiple of 288,468,421 with GCF Formula

Least Common Multiple of 288,468,421 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 288,468,421 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,468,421) = 1

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

GCF(288,468,421) x common factors =1 x 36 = 36

LCM(288,468,421) = ( 288 × 468 × 421 ) / 36

LCM(288,468,421) = 56744064 / 36

LCM(288,468,421) = 1576224


Lets's calculate GCF of 83,90,30

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1576224/1

Therefore the LCM of Fractions 288/83,468/90,421/30 is 1576224

Greatest Common Factor of 83,90,30 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,90,30 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 30

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

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

Greatest Common Factor

We found the factors 83,90,30 . The biggest common factor number is the GCF number.
So the greatest common factor 83,90,30 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 288/83, 468/90, 421/30

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 288/83, 468/90, 421/30?

Answer: LCM of Numerators as per given numbers 288/83, 468/90, 421/30 is

LCM of Numerators i.e. for 288,468,421 is 1576224

GCF of denominators i.e. for 83,90,30 is 1.

Thus, LCM of Fractions is 1576224.Finally, LCM of Fractions for 288/83, 468/90, 421/30 is 1576224.