Least Common Multiple of 24/387, 532/159, 161/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/387, 532/159, 161/966 quickly i.e. 24472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/387, 532/159, 161/966 is 24472.

LCM(24/387, 532/159, 161/966) = 24472

LCM of 24/387, 532/159, 161/966

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 24/387,532/159,161/966

Given numbers are 24/387,532/159,161/966

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 24,532,161

Least Common Multiple of Numerators i.e. LCM of 24,532,161 is 73416.

GCF of Denominators means GCF of 387,159,966 as per the given fractions.

GCF of 387,159,966 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,532,161

LCM of Fractions 24/387,532/159,161/966 is 24472

2 24, 532, 161
2 12, 266, 161
7 6, 133, 161
6, 19, 23

∴ So the LCM of the given numbers is 2 x 2 x 7 x 6 x 19 x 23 = 73416

Least Common Multiple of 24,532,161 with GCF Formula

Least Common Multiple of 24,532,161 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 24,532,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,532,161) = 1

common factors(in case of two or more numbers have common factors) = 28

GCF(24,532,161) x common factors =1 x 28 = 28

LCM(24,532,161) = ( 24 × 532 × 161 ) / 28

LCM(24,532,161) = 2055648 / 28

LCM(24,532,161) = 73416


Lets's calculate GCF of 387,159,966

3 387, 159, 966
129, 53, 322

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 73416/3

Therefore the LCM of Fractions 24/387,532/159,161/966 is 24472

Greatest Common Factor of 387,159,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 387,159,966 By Matching Biggest Common Factor Method

Factors of 387

List of positive integer factors of 387 that divides 387 without a remainder.

1,3,9,43,129,387

Factors of 159

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

1,3,53,159

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 387,159,966 . The biggest common factor number is the GCF number.
So the greatest common factor 387,159,966 is 3.


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 24/387, 532/159, 161/966

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 24/387, 532/159, 161/966?

Answer: LCM of Numerators as per given numbers 24/387, 532/159, 161/966 is

LCM of Numerators i.e. for 24,532,161 is 73416

GCF of denominators i.e. for 387,159,966 is 3.

Thus, LCM of Fractions is 24472.Finally, LCM of Fractions for 24/387, 532/159, 161/966 is 24472.