Least Common Multiple of 25/299, 46/159, 384/228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 25/299, 46/159, 384/228 quickly i.e. 220800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 25/299, 46/159, 384/228 is 220800.

LCM(25/299, 46/159, 384/228) = 220800

LCM of 25/299, 46/159, 384/228

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 25/299,46/159,384/228

Given numbers are 25/299,46/159,384/228

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 25,46,384

Least Common Multiple of Numerators i.e. LCM of 25,46,384 is 220800.

GCF of Denominators means GCF of 299,159,228 as per the given fractions.

GCF of 299,159,228 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 25,46,384

LCM of Fractions 25/299,46/159,384/228 is 220800

2 25, 46, 384
25, 23, 192

∴ So the LCM of the given numbers is 2 x 25 x 23 x 192 = 220800

Least Common Multiple of 25,46,384 with GCF Formula

Least Common Multiple of 25,46,384 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 25,46,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,46,384) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(25,46,384) x common factors =1 x 2 = 2

LCM(25,46,384) = ( 25 × 46 × 384 ) / 2

LCM(25,46,384) = 441600 / 2

LCM(25,46,384) = 220800


Lets's calculate GCF of 299,159,228

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 220800/1

Therefore the LCM of Fractions 25/299,46/159,384/228 is 220800

Greatest Common Factor of 299,159,228 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,159,228 By Matching Biggest Common Factor Method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 228

List of positive integer factors of 228 that divides 228 without a remainder.

1,2,3,4,6,12,19,38,57,76,114,228

Greatest Common Factor

We found the factors 299,159,228 . The biggest common factor number is the GCF number.
So the greatest common factor 299,159,228 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 25/299, 46/159, 384/228

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 25/299, 46/159, 384/228?

Answer: LCM of Numerators as per given numbers 25/299, 46/159, 384/228 is

LCM of Numerators i.e. for 25,46,384 is 220800

GCF of denominators i.e. for 299,159,228 is 1.

Thus, LCM of Fractions is 220800.Finally, LCM of Fractions for 25/299, 46/159, 384/228 is 220800.