Least Common Multiple of 41/69, 68/51, 66/990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 41/69, 68/51, 66/990 quickly i.e. 30668 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 41/69, 68/51, 66/990 is 30668.

LCM(41/69, 68/51, 66/990) = 30668

LCM of 41/69, 68/51, 66/990

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 41/69,68/51,66/990

Given numbers are 41/69,68/51,66/990

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 41,68,66

Least Common Multiple of Numerators i.e. LCM of 41,68,66 is 92004.

GCF of Denominators means GCF of 69,51,990 as per the given fractions.

GCF of 69,51,990 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 41,68,66

LCM of Fractions 41/69,68/51,66/990 is 30668

2 41, 68, 66
41, 34, 33

∴ So the LCM of the given numbers is 2 x 41 x 34 x 33 = 92004

Least Common Multiple of 41,68,66 with GCF Formula

Least Common Multiple of 41,68,66 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 41,68,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(41,68,66) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(41,68,66) x common factors =1 x 2 = 2

LCM(41,68,66) = ( 41 × 68 × 66 ) / 2

LCM(41,68,66) = 184008 / 2

LCM(41,68,66) = 92004


Lets's calculate GCF of 69,51,990

3 69, 51, 990
23, 17, 330

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92004/3

Therefore the LCM of Fractions 41/69,68/51,66/990 is 30668

Greatest Common Factor of 69,51,990 By Matching Biggest Common Factor Method

Greatest Common Factor of 69,51,990 By Matching Biggest Common Factor Method

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

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 69,51,990 . The biggest common factor number is the GCF number.
So the greatest common factor 69,51,990 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 41/69, 68/51, 66/990

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 41/69, 68/51, 66/990?

Answer: LCM of Numerators as per given numbers 41/69, 68/51, 66/990 is

LCM of Numerators i.e. for 41,68,66 is 92004

GCF of denominators i.e. for 69,51,990 is 3.

Thus, LCM of Fractions is 30668.Finally, LCM of Fractions for 41/69, 68/51, 66/990 is 30668.