Least Common Multiple of 1185/666, 3090/3801

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1185/666, 3090/3801 quickly i.e. 81370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1185/666, 3090/3801 is 81370.

LCM(1185/666, 3090/3801) = 81370

LCM of 1185/666, 3090/3801

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 1185/666,3090/3801

Given numbers are 1185/666,3090/3801

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 1185,3090

Least Common Multiple of Numerators i.e. LCM of 1185,3090 is 244110.

GCF of Denominators means GCF of 666,3801 as per the given fractions.

GCF of 666,3801 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1185,3090

LCM of Fractions 1185/666,3090/3801 is 81370

3 1185, 3090
5 395, 1030
79, 206

∴ So the LCM of the given numbers is 3 x 5 x 79 x 206 = 244110

Least Common Multiple of 1185,3090 with GCF Formula

Least Common Multiple of 1185,3090 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 1185,3090 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1185,3090) = 15

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

GCF(1185,3090) x common factors =15 x 1 = 15

LCM(1185,3090) = ( 1185 × 3090 ) / 15

LCM(1185,3090) = 3661650 / 15

LCM(1185,3090) = 244110


Lets's calculate GCF of 666,3801

3 666, 3801
222, 1267

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 244110/3

Therefore the LCM of Fractions 1185/666,3090/3801 is 81370

Greatest Common Factor of 666,3801 By Matching Biggest Common Factor Method

Greatest Common Factor of 666,3801 By Matching Biggest Common Factor Method

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Factors of 3801

List of positive integer factors of 3801 that divides 3801 without a remainder.

1,3,7,21,181,543,1267,3801

Greatest Common Factor

We found the factors 666,3801 . The biggest common factor number is the GCF number.
So the greatest common factor 666,3801 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 1185/666, 3090/3801

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 1185/666, 3090/3801?

Answer: LCM of Numerators as per given numbers 1185/666, 3090/3801 is

LCM of Numerators i.e. for 1185,3090 is 244110

GCF of denominators i.e. for 666,3801 is 3.

Thus, LCM of Fractions is 81370.Finally, LCM of Fractions for 1185/666, 3090/3801 is 81370.