Least Common Multiple of 75/81, 16/51, 20/42, 66/657

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/81, 16/51, 20/42, 66/657 quickly i.e. 4400 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/81, 16/51, 20/42, 66/657 is 4400.

LCM(75/81, 16/51, 20/42, 66/657) = 4400

LCM of 75/81, 16/51, 20/42, 66/657

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 75/81,16/51,20/42,66/657

Given numbers are 75/81,16/51,20/42,66/657

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 75,16,20,66

Least Common Multiple of Numerators i.e. LCM of 75,16,20,66 is 13200.

GCF of Denominators means GCF of 81,51,42,657 as per the given fractions.

GCF of 81,51,42,657 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,16,20,66

LCM of Fractions 75/81,16/51,20/42,66/657 is 4400

2 75, 16, 20, 66
2 75, 8, 10, 33
3 75, 4, 5, 33
5 25, 4, 5, 11
1, 4, 5, 11

∴ So the LCM of the given numbers is 2 x 2 x 3 x 5 x 1 x 4 x 5 x 11 = 13200

Least Common Multiple of 75,16,20,66 with GCF Formula

Least Common Multiple of 75,16,20,66 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 75,16,20,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,16,20,66) = 1

common factors(in case of two or more numbers have common factors) = 120

GCF(75,16,20,66) x common factors =1 x 120 = 120

LCM(75,16,20,66) = ( 75 × 16 × 20 × 66 ) / 120

LCM(75,16,20,66) = 1584000 / 120

LCM(75,16,20,66) = 13200


Lets's calculate GCF of 81,51,42,657

3 81, 51, 42, 657
27, 17, 14, 219

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13200/3

Therefore the LCM of Fractions 75/81,16/51,20/42,66/657 is 4400

Greatest Common Factor of 81,51,42,657 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,51,42,657 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 51

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

1,3,17,51

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Greatest Common Factor

We found the factors 81,51,42,657 . The biggest common factor number is the GCF number.
So the greatest common factor 81,51,42,657 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 75/81, 16/51, 20/42, 66/657

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 75/81, 16/51, 20/42, 66/657?

Answer: LCM of Numerators as per given numbers 75/81, 16/51, 20/42, 66/657 is

LCM of Numerators i.e. for 75,16,20,66 is 13200

GCF of denominators i.e. for 81,51,42,657 is 3.

Thus, LCM of Fractions is 4400.Finally, LCM of Fractions for 75/81, 16/51, 20/42, 66/657 is 4400.