Least Common Multiple of 288/28, 375/1219

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/28, 375/1219 quickly i.e. 36000 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/28, 375/1219 is 36000.

LCM(288/28, 375/1219) = 36000

LCM of 288/28, 375/1219

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 288/28,375/1219

Given numbers are 288/28,375/1219

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 288,375

Least Common Multiple of Numerators i.e. LCM of 288,375 is 36000.

GCF of Denominators means GCF of 28,1219 as per the given fractions.

GCF of 28,1219 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,375

LCM of Fractions 288/28,375/1219 is 36000

3 288, 375
96, 125

∴ So the LCM of the given numbers is 3 x 96 x 125 = 36000

Least Common Multiple of 288,375 with GCF Formula

Least Common Multiple of 288,375 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 288,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,375) = 3

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

GCF(288,375) x common factors =3 x 1 = 3

LCM(288,375) = ( 288 × 375 ) / 3

LCM(288,375) = 108000 / 3

LCM(288,375) = 36000


Lets's calculate GCF of 28,1219

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36000/1

Therefore the LCM of Fractions 288/28,375/1219 is 36000

Greatest Common Factor of 28,1219 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,1219 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 1219

List of positive integer factors of 1219 that divides 1219 without a remainder.

1,23,53,1219

Greatest Common Factor

We found the factors 28,1219 . The biggest common factor number is the GCF number.
So the greatest common factor 28,1219 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 288/28, 375/1219

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 288/28, 375/1219?

Answer: LCM of Numerators as per given numbers 288/28, 375/1219 is

LCM of Numerators i.e. for 288,375 is 36000

GCF of denominators i.e. for 28,1219 is 1.

Thus, LCM of Fractions is 36000.Finally, LCM of Fractions for 288/28, 375/1219 is 36000.