Least Common Multiple of 300/254, 105/515, 283/361

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 300/254, 105/515, 283/361 quickly i.e. 594300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 300/254, 105/515, 283/361 is 594300.

LCM(300/254, 105/515, 283/361) = 594300

LCM of 300/254, 105/515, 283/361

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 300/254,105/515,283/361

Given numbers are 300/254,105/515,283/361

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 300,105,283

Least Common Multiple of Numerators i.e. LCM of 300,105,283 is 594300.

GCF of Denominators means GCF of 254,515,361 as per the given fractions.

GCF of 254,515,361 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 300,105,283

LCM of Fractions 300/254,105/515,283/361 is 594300

3 300, 105, 283
5 100, 35, 283
20, 7, 283

∴ So the LCM of the given numbers is 3 x 5 x 20 x 7 x 283 = 594300

Least Common Multiple of 300,105,283 with GCF Formula

Least Common Multiple of 300,105,283 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 300,105,283 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(300,105,283) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(300,105,283) x common factors =1 x 15 = 15

LCM(300,105,283) = ( 300 × 105 × 283 ) / 15

LCM(300,105,283) = 8914500 / 15

LCM(300,105,283) = 594300


Lets's calculate GCF of 254,515,361

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 594300/1

Therefore the LCM of Fractions 300/254,105/515,283/361 is 594300

Greatest Common Factor of 254,515,361 By Matching Biggest Common Factor Method

Greatest Common Factor of 254,515,361 By Matching Biggest Common Factor Method

Factors of 254

List of positive integer factors of 254 that divides 254 without a remainder.

1,2,127,254

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Greatest Common Factor

We found the factors 254,515,361 . The biggest common factor number is the GCF number.
So the greatest common factor 254,515,361 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 300/254, 105/515, 283/361

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 300/254, 105/515, 283/361?

Answer: LCM of Numerators as per given numbers 300/254, 105/515, 283/361 is

LCM of Numerators i.e. for 300,105,283 is 594300

GCF of denominators i.e. for 254,515,361 is 1.

Thus, LCM of Fractions is 594300.Finally, LCM of Fractions for 300/254, 105/515, 283/361 is 594300.