Least Common Multiple of 387/432, 9855/5989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 387/432, 9855/5989 quickly i.e. 423765 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 387/432, 9855/5989 is 423765.

LCM(387/432, 9855/5989) = 423765

LCM of 387/432, 9855/5989

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 387/432,9855/5989

Given numbers are 387/432,9855/5989

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 387,9855

Least Common Multiple of Numerators i.e. LCM of 387,9855 is 423765.

GCF of Denominators means GCF of 432,5989 as per the given fractions.

GCF of 432,5989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 387,9855

LCM of Fractions 387/432,9855/5989 is 423765

3 387, 9855
3 129, 3285
43, 1095

∴ So the LCM of the given numbers is 3 x 3 x 43 x 1095 = 423765

Least Common Multiple of 387,9855 with GCF Formula

Least Common Multiple of 387,9855 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 387,9855 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,9855) = 9

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

GCF(387,9855) x common factors =9 x 1 = 9

LCM(387,9855) = ( 387 × 9855 ) / 9

LCM(387,9855) = 3813885 / 9

LCM(387,9855) = 423765


Lets's calculate GCF of 432,5989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 423765/1

Therefore the LCM of Fractions 387/432,9855/5989 is 423765

Greatest Common Factor of 432,5989 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,5989 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 5989

List of positive integer factors of 5989 that divides 5989 without a remainder.

1,53,113,5989

Greatest Common Factor

We found the factors 432,5989 . The biggest common factor number is the GCF number.
So the greatest common factor 432,5989 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 387/432, 9855/5989

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 387/432, 9855/5989?

Answer: LCM of Numerators as per given numbers 387/432, 9855/5989 is

LCM of Numerators i.e. for 387,9855 is 423765

GCF of denominators i.e. for 432,5989 is 1.

Thus, LCM of Fractions is 423765.Finally, LCM of Fractions for 387/432, 9855/5989 is 423765.