Least Common Multiple of 288/78, 239/45, 564/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 288/78, 239/45, 564/668 quickly i.e. 3235104 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 288/78, 239/45, 564/668 is 3235104.

LCM(288/78, 239/45, 564/668) = 3235104

LCM of 288/78, 239/45, 564/668

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 288/78,239/45,564/668

Given numbers are 288/78,239/45,564/668

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 288,239,564

Least Common Multiple of Numerators i.e. LCM of 288,239,564 is 3235104.

GCF of Denominators means GCF of 78,45,668 as per the given fractions.

GCF of 78,45,668 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 288,239,564

LCM of Fractions 288/78,239/45,564/668 is 3235104

2 288, 239, 564
2 144, 239, 282
3 72, 239, 141
24, 239, 47

∴ So the LCM of the given numbers is 2 x 2 x 3 x 24 x 239 x 47 = 3235104

Least Common Multiple of 288,239,564 with GCF Formula

Least Common Multiple of 288,239,564 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 288,239,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,239,564) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(288,239,564) x common factors =1 x 12 = 12

LCM(288,239,564) = ( 288 × 239 × 564 ) / 12

LCM(288,239,564) = 38821248 / 12

LCM(288,239,564) = 3235104


Lets's calculate GCF of 78,45,668

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3235104/1

Therefore the LCM of Fractions 288/78,239/45,564/668 is 3235104

Greatest Common Factor of 78,45,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,45,668 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Greatest Common Factor

We found the factors 78,45,668 . The biggest common factor number is the GCF number.
So the greatest common factor 78,45,668 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 288/78, 239/45, 564/668

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 288/78, 239/45, 564/668?

Answer: LCM of Numerators as per given numbers 288/78, 239/45, 564/668 is

LCM of Numerators i.e. for 288,239,564 is 3235104

GCF of denominators i.e. for 78,45,668 is 1.

Thus, LCM of Fractions is 3235104.Finally, LCM of Fractions for 288/78, 239/45, 564/668 is 3235104.