Least Common Multiple of 24/312, 323/432, 932/465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/312, 323/432, 932/465 quickly i.e. 602072 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/312, 323/432, 932/465 is 602072.

LCM(24/312, 323/432, 932/465) = 602072

LCM of 24/312, 323/432, 932/465

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 24/312,323/432,932/465

Given numbers are 24/312,323/432,932/465

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 24,323,932

Least Common Multiple of Numerators i.e. LCM of 24,323,932 is 1806216.

GCF of Denominators means GCF of 312,432,465 as per the given fractions.

GCF of 312,432,465 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,323,932

LCM of Fractions 24/312,323/432,932/465 is 602072

2 24, 323, 932
2 12, 323, 466
6, 323, 233

∴ So the LCM of the given numbers is 2 x 2 x 6 x 323 x 233 = 1806216

Least Common Multiple of 24,323,932 with GCF Formula

Least Common Multiple of 24,323,932 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 24,323,932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,323,932) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(24,323,932) x common factors =1 x 4 = 4

LCM(24,323,932) = ( 24 × 323 × 932 ) / 4

LCM(24,323,932) = 7224864 / 4

LCM(24,323,932) = 1806216


Lets's calculate GCF of 312,432,465

3 312, 432, 465
104, 144, 155

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1806216/3

Therefore the LCM of Fractions 24/312,323/432,932/465 is 602072

Greatest Common Factor of 312,432,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 312,432,465 By Matching Biggest Common Factor Method

Factors of 312

List of positive integer factors of 312 that divides 312 without a remainder.

1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 312,432,465 . The biggest common factor number is the GCF number.
So the greatest common factor 312,432,465 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 24/312, 323/432, 932/465

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 24/312, 323/432, 932/465?

Answer: LCM of Numerators as per given numbers 24/312, 323/432, 932/465 is

LCM of Numerators i.e. for 24,323,932 is 1806216

GCF of denominators i.e. for 312,432,465 is 3.

Thus, LCM of Fractions is 602072.Finally, LCM of Fractions for 24/312, 323/432, 932/465 is 602072.