Least Common Multiple of 480/25, 432/9989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 480/25, 432/9989 quickly i.e. 4320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 480/25, 432/9989 is 4320.

LCM(480/25, 432/9989) = 4320

LCM of 480/25, 432/9989

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 480/25,432/9989

Given numbers are 480/25,432/9989

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 480,432

Least Common Multiple of Numerators i.e. LCM of 480,432 is 4320.

GCF of Denominators means GCF of 25,9989 as per the given fractions.

GCF of 25,9989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 480,432

LCM of Fractions 480/25,432/9989 is 4320

2 480, 432
2 240, 216
2 120, 108
2 60, 54
3 30, 27
10, 9

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 3 x 10 x 9 = 4320

Least Common Multiple of 480,432 with GCF Formula

Least Common Multiple of 480,432 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 480,432 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,432) = 48

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

GCF(480,432) x common factors =48 x 1 = 48

LCM(480,432) = ( 480 × 432 ) / 48

LCM(480,432) = 207360 / 48

LCM(480,432) = 4320


Lets's calculate GCF of 25,9989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4320/1

Therefore the LCM of Fractions 480/25,432/9989 is 4320

Greatest Common Factor of 25,9989 By Matching Biggest Common Factor Method

Greatest Common Factor of 25,9989 By Matching Biggest Common Factor Method

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 9989

List of positive integer factors of 9989 that divides 9989 without a remainder.

1,7,1427,9989

Greatest Common Factor

We found the factors 25,9989 . The biggest common factor number is the GCF number.
So the greatest common factor 25,9989 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 480/25, 432/9989

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 480/25, 432/9989?

Answer: LCM of Numerators as per given numbers 480/25, 432/9989 is

LCM of Numerators i.e. for 480,432 is 4320

GCF of denominators i.e. for 25,9989 is 1.

Thus, LCM of Fractions is 4320.Finally, LCM of Fractions for 480/25, 432/9989 is 4320.