Least Common Multiple of 300/52, 287/69, 409/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/52, 287/69, 409/282 quickly i.e. 35214900 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/52, 287/69, 409/282 is 35214900.

LCM(300/52, 287/69, 409/282) = 35214900

LCM of 300/52, 287/69, 409/282

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 300/52,287/69,409/282

Given numbers are 300/52,287/69,409/282

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 300,287,409

Least Common Multiple of Numerators i.e. LCM of 300,287,409 is 35214900.

GCF of Denominators means GCF of 52,69,282 as per the given fractions.

GCF of 52,69,282 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,287,409

LCM of Fractions 300/52,287/69,409/282 is 35214900

Given numbers has no common factors except 1. So, there LCM is their product i.e 35214900

Least Common Multiple of 300,287,409 with GCF Formula

Least Common Multiple of 300,287,409 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 300,287,409 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,287,409) = 1

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

GCF(300,287,409) x common factors =1 x 1 = 1

LCM(300,287,409) = ( 300 × 287 × 409 ) / 1

LCM(300,287,409) = 35214900 / 1

LCM(300,287,409) = 35214900


Lets's calculate GCF of 52,69,282

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 35214900/1

Therefore the LCM of Fractions 300/52,287/69,409/282 is 35214900

Greatest Common Factor of 52,69,282 By Matching Biggest Common Factor Method

Greatest Common Factor of 52,69,282 By Matching Biggest Common Factor Method

Factors of 52

List of positive integer factors of 52 that divides 52 without a remainder.

1,2,4,13,26,52

Factors of 69

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

1,3,23,69

Factors of 282

List of positive integer factors of 282 that divides 282 without a remainder.

1,2,3,6,47,94,141,282

Greatest Common Factor

We found the factors 52,69,282 . The biggest common factor number is the GCF number.
So the greatest common factor 52,69,282 is 1.


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 300/52, 287/69, 409/282

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 300/52, 287/69, 409/282?

Answer: LCM of Numerators as per given numbers 300/52, 287/69, 409/282 is

LCM of Numerators i.e. for 300,287,409 is 35214900

GCF of denominators i.e. for 52,69,282 is 1.

Thus, LCM of Fractions is 35214900.Finally, LCM of Fractions for 300/52, 287/69, 409/282 is 35214900.