Least Common Multiple of 330/432, 9960/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 330/432, 9960/365 quickly i.e. 109560 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 330/432, 9960/365 is 109560.

LCM(330/432, 9960/365) = 109560

LCM of 330/432, 9960/365

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 330/432,9960/365

Given numbers are 330/432,9960/365

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 330,9960

Least Common Multiple of Numerators i.e. LCM of 330,9960 is 109560.

GCF of Denominators means GCF of 432,365 as per the given fractions.

GCF of 432,365 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 330,9960

LCM of Fractions 330/432,9960/365 is 109560

2 330, 9960
3 165, 4980
5 55, 1660
11, 332

∴ So the LCM of the given numbers is 2 x 3 x 5 x 11 x 332 = 109560

Least Common Multiple of 330,9960 with GCF Formula

Least Common Multiple of 330,9960 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 330,9960 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,9960) = 30

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

GCF(330,9960) x common factors =30 x 1 = 30

LCM(330,9960) = ( 330 × 9960 ) / 30

LCM(330,9960) = 3286800 / 30

LCM(330,9960) = 109560


Lets's calculate GCF of 432,365

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109560/1

Therefore the LCM of Fractions 330/432,9960/365 is 109560

Greatest Common Factor of 432,365 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,365 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 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Greatest Common Factor

We found the factors 432,365 . The biggest common factor number is the GCF number.
So the greatest common factor 432,365 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 330/432, 9960/365

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 330/432, 9960/365?

Answer: LCM of Numerators as per given numbers 330/432, 9960/365 is

LCM of Numerators i.e. for 330,9960 is 109560

GCF of denominators i.e. for 432,365 is 1.

Thus, LCM of Fractions is 109560.Finally, LCM of Fractions for 330/432, 9960/365 is 109560.