Least Common Multiple of 576/23, 749/73, 647/144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 576/23, 749/73, 647/144 quickly i.e. 279131328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 576/23, 749/73, 647/144 is 279131328.

LCM(576/23, 749/73, 647/144) = 279131328

LCM of 576/23, 749/73, 647/144

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 576/23,749/73,647/144

Given numbers are 576/23,749/73,647/144

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 576,749,647

Least Common Multiple of Numerators i.e. LCM of 576,749,647 is 279131328.

GCF of Denominators means GCF of 23,73,144 as per the given fractions.

GCF of 23,73,144 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 576,749,647

LCM of Fractions 576/23,749/73,647/144 is 279131328

Given numbers has no common factors except 1. So, there LCM is their product i.e 279131328

Least Common Multiple of 576,749,647 with GCF Formula

Least Common Multiple of 576,749,647 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 576,749,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,749,647) = 1

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

GCF(576,749,647) x common factors =1 x 1 = 1

LCM(576,749,647) = ( 576 × 749 × 647 ) / 1

LCM(576,749,647) = 279131328 / 1

LCM(576,749,647) = 279131328


Lets's calculate GCF of 23,73,144

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 279131328/1

Therefore the LCM of Fractions 576/23,749/73,647/144 is 279131328

Greatest Common Factor of 23,73,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,73,144 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 23,73,144 . The biggest common factor number is the GCF number.
So the greatest common factor 23,73,144 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 576/23, 749/73, 647/144

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 576/23, 749/73, 647/144?

Answer: LCM of Numerators as per given numbers 576/23, 749/73, 647/144 is

LCM of Numerators i.e. for 576,749,647 is 279131328

GCF of denominators i.e. for 23,73,144 is 1.

Thus, LCM of Fractions is 279131328.Finally, LCM of Fractions for 576/23, 749/73, 647/144 is 279131328.