Least Common Multiple of 75/747, 333/369, 111/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 75/747, 333/369, 111/147 quickly i.e. 2775 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 75/747, 333/369, 111/147 is 2775.

LCM(75/747, 333/369, 111/147) = 2775

LCM of 75/747, 333/369, 111/147

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 75/747,333/369,111/147

Given numbers are 75/747,333/369,111/147

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 75,333,111

Least Common Multiple of Numerators i.e. LCM of 75,333,111 is 8325.

GCF of Denominators means GCF of 747,369,147 as per the given fractions.

GCF of 747,369,147 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 75,333,111

LCM of Fractions 75/747,333/369,111/147 is 2775

3 75, 333, 111
37 25, 111, 37
25, 3, 1

∴ So the LCM of the given numbers is 3 x 37 x 25 x 3 x 1 = 8325

Least Common Multiple of 75,333,111 with GCF Formula

Least Common Multiple of 75,333,111 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 75,333,111 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,333,111) = 3

common factors(in case of two or more numbers have common factors) = 111

GCF(75,333,111) x common factors =3 x 111 = 333

LCM(75,333,111) = ( 75 × 333 × 111 ) / 333

LCM(75,333,111) = 2772225 / 333

LCM(75,333,111) = 8325


Lets's calculate GCF of 747,369,147

3 747, 369, 147
249, 123, 49

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8325/3

Therefore the LCM of Fractions 75/747,333/369,111/147 is 2775

Greatest Common Factor of 747,369,147 By Matching Biggest Common Factor Method

Greatest Common Factor of 747,369,147 By Matching Biggest Common Factor Method

Factors of 747

List of positive integer factors of 747 that divides 747 without a remainder.

1,3,9,83,249,747

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 147

List of positive integer factors of 147 that divides 147 without a remainder.

1,3,7,21,49,147

Greatest Common Factor

We found the factors 747,369,147 . The biggest common factor number is the GCF number.
So the greatest common factor 747,369,147 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 75/747, 333/369, 111/147

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 75/747, 333/369, 111/147?

Answer: LCM of Numerators as per given numbers 75/747, 333/369, 111/147 is

LCM of Numerators i.e. for 75,333,111 is 8325

GCF of denominators i.e. for 747,369,147 is 3.

Thus, LCM of Fractions is 2775.Finally, LCM of Fractions for 75/747, 333/369, 111/147 is 2775.