Least Common Multiple of 345/33, 5865/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 345/33, 5865/990 quickly i.e. 5865/33 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 345/33, 5865/990 is 5865/33.

LCM(345/33, 5865/990) = 5865/33

LCM of 345/33, 5865/990

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 345/33,5865/990

Given numbers are 345/33,5865/990

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 345,5865

Least Common Multiple of Numerators i.e. LCM of 345,5865 is 5865.

GCF of Denominators means GCF of 33,990 as per the given fractions.

GCF of 33,990 is 33 as it is the largest common factor for these numbers.

Lets's calculate LCM of 345,5865

LCM of Fractions 345/33,5865/990 is 5865/33

3 345, 5865
5 115, 1955
23 23, 391
1, 17

∴ So the LCM of the given numbers is 3 x 5 x 23 x 1 x 17 = 5865

Least Common Multiple of 345,5865 with GCF Formula

Least Common Multiple of 345,5865 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 345,5865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(345,5865) = 345

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

GCF(345,5865) x common factors =345 x 1 = 345

LCM(345,5865) = ( 345 × 5865 ) / 345

LCM(345,5865) = 2023425 / 345

LCM(345,5865) = 5865


Lets's calculate GCF of 33,990

3 33, 990
11 11, 330
1, 30

∴ So the GCF of the given numbers is 3 x 11 = 33

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5865/33

Therefore the LCM of Fractions 345/33,5865/990 is 5865/33

Greatest Common Factor of 33,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,990 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 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

Greatest Common Factor

We found the factors 33,990 . The biggest common factor number is the GCF number.
So the greatest common factor 33,990 is 33.


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 345/33, 5865/990

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 345/33, 5865/990?

Answer: LCM of Numerators as per given numbers 345/33, 5865/990 is

LCM of Numerators i.e. for 345,5865 is 5865

GCF of denominators i.e. for 33,990 is 33.

Thus, LCM of Fractions is 5865/33.Finally, LCM of Fractions for 345/33, 5865/990 is 5865/33.