Least Common Multiple of 115/33, 1851/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 115/33, 1851/204 quickly i.e. 70955 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 115/33, 1851/204 is 70955.

LCM(115/33, 1851/204) = 70955

LCM of 115/33, 1851/204

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 115/33,1851/204

Given numbers are 115/33,1851/204

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 115,1851

Least Common Multiple of Numerators i.e. LCM of 115,1851 is 212865.

GCF of Denominators means GCF of 33,204 as per the given fractions.

GCF of 33,204 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 115,1851

LCM of Fractions 115/33,1851/204 is 70955

Given numbers has no common factors except 1. So, there LCM is their product i.e 212865

Least Common Multiple of 115,1851 with GCF Formula

Least Common Multiple of 115,1851 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 115,1851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(115,1851) = 1

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

GCF(115,1851) x common factors =1 x 1 = 1

LCM(115,1851) = ( 115 × 1851 ) / 1

LCM(115,1851) = 212865 / 1

LCM(115,1851) = 212865


Lets's calculate GCF of 33,204

3 33, 204
11, 68

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 212865/3

Therefore the LCM of Fractions 115/33,1851/204 is 70955

Greatest Common Factor of 33,204 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,204 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 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Greatest Common Factor

We found the factors 33,204 . The biggest common factor number is the GCF number.
So the greatest common factor 33,204 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 115/33, 1851/204

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 115/33, 1851/204?

Answer: LCM of Numerators as per given numbers 115/33, 1851/204 is

LCM of Numerators i.e. for 115,1851 is 212865

GCF of denominators i.e. for 33,204 is 3.

Thus, LCM of Fractions is 70955.Finally, LCM of Fractions for 115/33, 1851/204 is 70955.