Least Common Multiple of 300/99, 286/39, 442/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/99, 286/39, 442/354 quickly i.e. 243100 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/99, 286/39, 442/354 is 243100.

LCM(300/99, 286/39, 442/354) = 243100

LCM of 300/99, 286/39, 442/354

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 300/99,286/39,442/354

Given numbers are 300/99,286/39,442/354

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 300,286,442

Least Common Multiple of Numerators i.e. LCM of 300,286,442 is 729300.

GCF of Denominators means GCF of 99,39,354 as per the given fractions.

GCF of 99,39,354 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,286,442

LCM of Fractions 300/99,286/39,442/354 is 243100

2 300, 286, 442
13 150, 143, 221
150, 11, 17

∴ So the LCM of the given numbers is 2 x 13 x 150 x 11 x 17 = 729300

Least Common Multiple of 300,286,442 with GCF Formula

Least Common Multiple of 300,286,442 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 300,286,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,286,442) = 2

common factors(in case of two or more numbers have common factors) = 26

GCF(300,286,442) x common factors =2 x 26 = 52

LCM(300,286,442) = ( 300 × 286 × 442 ) / 52

LCM(300,286,442) = 37923600 / 52

LCM(300,286,442) = 729300


Lets's calculate GCF of 99,39,354

3 99, 39, 354
33, 13, 118

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 729300/3

Therefore the LCM of Fractions 300/99,286/39,442/354 is 243100

Greatest Common Factor of 99,39,354 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,39,354 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 354

List of positive integer factors of 354 that divides 354 without a remainder.

1,2,3,6,59,118,177,354

Greatest Common Factor

We found the factors 99,39,354 . The biggest common factor number is the GCF number.
So the greatest common factor 99,39,354 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 300/99, 286/39, 442/354

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 300/99, 286/39, 442/354?

Answer: LCM of Numerators as per given numbers 300/99, 286/39, 442/354 is

LCM of Numerators i.e. for 300,286,442 is 729300

GCF of denominators i.e. for 99,39,354 is 3.

Thus, LCM of Fractions is 243100.Finally, LCM of Fractions for 300/99, 286/39, 442/354 is 243100.