Least Common Multiple of 3038/33, 1860/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3038/33, 1860/432 quickly i.e. 30380 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3038/33, 1860/432 is 30380.

LCM(3038/33, 1860/432) = 30380

LCM of 3038/33, 1860/432

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 3038/33,1860/432

Given numbers are 3038/33,1860/432

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 3038,1860

Least Common Multiple of Numerators i.e. LCM of 3038,1860 is 91140.

GCF of Denominators means GCF of 33,432 as per the given fractions.

GCF of 33,432 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3038,1860

LCM of Fractions 3038/33,1860/432 is 30380

2 3038, 1860
31 1519, 930
49, 30

∴ So the LCM of the given numbers is 2 x 31 x 49 x 30 = 91140

Least Common Multiple of 3038,1860 with GCF Formula

Least Common Multiple of 3038,1860 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 3038,1860 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3038,1860) = 62

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

GCF(3038,1860) x common factors =62 x 1 = 62

LCM(3038,1860) = ( 3038 × 1860 ) / 62

LCM(3038,1860) = 5650680 / 62

LCM(3038,1860) = 91140


Lets's calculate GCF of 33,432

3 33, 432
11, 144

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 91140/3

Therefore the LCM of Fractions 3038/33,1860/432 is 30380

Greatest Common Factor of 33,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,432 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

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

Greatest Common Factor

We found the factors 33,432 . The biggest common factor number is the GCF number.
So the greatest common factor 33,432 is 3.


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 3038/33, 1860/432

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 3038/33, 1860/432?

Answer: LCM of Numerators as per given numbers 3038/33, 1860/432 is

LCM of Numerators i.e. for 3038,1860 is 91140

GCF of denominators i.e. for 33,432 is 3.

Thus, LCM of Fractions is 30380.Finally, LCM of Fractions for 3038/33, 1860/432 is 30380.