Least Common Multiple of 288/990, 4530/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/990, 4530/430 quickly i.e. 21744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/990, 4530/430 is 21744.

LCM(288/990, 4530/430) = 21744

LCM of 288/990, 4530/430

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 288/990,4530/430

Given numbers are 288/990,4530/430

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 288,4530

Least Common Multiple of Numerators i.e. LCM of 288,4530 is 217440.

GCF of Denominators means GCF of 990,430 as per the given fractions.

GCF of 990,430 is 10 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,4530

LCM of Fractions 288/990,4530/430 is 21744

2 288, 4530
3 144, 2265
48, 755

∴ So the LCM of the given numbers is 2 x 3 x 48 x 755 = 217440

Least Common Multiple of 288,4530 with GCF Formula

Least Common Multiple of 288,4530 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 288,4530 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,4530) = 6

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

GCF(288,4530) x common factors =6 x 1 = 6

LCM(288,4530) = ( 288 × 4530 ) / 6

LCM(288,4530) = 1304640 / 6

LCM(288,4530) = 217440


Lets's calculate GCF of 990,430

2 990, 430
5 495, 215
99, 43

∴ So the GCF of the given numbers is 2 x 5 = 10

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 217440/10

Therefore the LCM of Fractions 288/990,4530/430 is 21744

Greatest Common Factor of 990,430 By Matching Biggest Common Factor Method

Greatest Common Factor of 990,430 By Matching Biggest Common Factor Method

Factors of 990

List of positive integer factors of 990 that divides 990 without a remainder.

1,2,3,5,6,9,10,11,15,18,22,30,33,45,55,66,90,99,110,165,198,330,495,990

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Greatest Common Factor

We found the factors 990,430 . The biggest common factor number is the GCF number.
So the greatest common factor 990,430 is 10.


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 288/990, 4530/430

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 288/990, 4530/430?

Answer: LCM of Numerators as per given numbers 288/990, 4530/430 is

LCM of Numerators i.e. for 288,4530 is 217440

GCF of denominators i.e. for 990,430 is 10.

Thus, LCM of Fractions is 21744.Finally, LCM of Fractions for 288/990, 4530/430 is 21744.