Least Common Multiple of 24/647, 29/253, 446/753

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/647, 29/253, 446/753 quickly i.e. 155208 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/647, 29/253, 446/753 is 155208.

LCM(24/647, 29/253, 446/753) = 155208

LCM of 24/647, 29/253, 446/753

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 24/647,29/253,446/753

Given numbers are 24/647,29/253,446/753

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 24,29,446

Least Common Multiple of Numerators i.e. LCM of 24,29,446 is 155208.

GCF of Denominators means GCF of 647,253,753 as per the given fractions.

GCF of 647,253,753 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,29,446

LCM of Fractions 24/647,29/253,446/753 is 155208

2 24, 29, 446
12, 29, 223

∴ So the LCM of the given numbers is 2 x 12 x 29 x 223 = 155208

Least Common Multiple of 24,29,446 with GCF Formula

Least Common Multiple of 24,29,446 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 24,29,446 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,29,446) = 1

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

GCF(24,29,446) x common factors =1 x 2 = 2

LCM(24,29,446) = ( 24 × 29 × 446 ) / 2

LCM(24,29,446) = 310416 / 2

LCM(24,29,446) = 155208


Lets's calculate GCF of 647,253,753

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 155208/1

Therefore the LCM of Fractions 24/647,29/253,446/753 is 155208

Greatest Common Factor of 647,253,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 647,253,753 By Matching Biggest Common Factor Method

Factors of 647

List of positive integer factors of 647 that divides 647 without a remainder.

1,647

Factors of 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 647,253,753 . The biggest common factor number is the GCF number.
So the greatest common factor 647,253,753 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 24/647, 29/253, 446/753

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 24/647, 29/253, 446/753?

Answer: LCM of Numerators as per given numbers 24/647, 29/253, 446/753 is

LCM of Numerators i.e. for 24,29,446 is 155208

GCF of denominators i.e. for 647,253,753 is 1.

Thus, LCM of Fractions is 155208.Finally, LCM of Fractions for 24/647, 29/253, 446/753 is 155208.