Least Common Multiple of 32/48, 24/75, 809/482

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/48, 24/75, 809/482 quickly i.e. 77664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/48, 24/75, 809/482 is 77664.

LCM(32/48, 24/75, 809/482) = 77664

LCM of 32/48, 24/75, 809/482

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 32/48,24/75,809/482

Given numbers are 32/48,24/75,809/482

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 32,24,809

Least Common Multiple of Numerators i.e. LCM of 32,24,809 is 77664.

GCF of Denominators means GCF of 48,75,482 as per the given fractions.

GCF of 48,75,482 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,24,809

LCM of Fractions 32/48,24/75,809/482 is 77664

2 32, 24, 809
2 16, 12, 809
2 8, 6, 809
4, 3, 809

∴ So the LCM of the given numbers is 2 x 2 x 2 x 4 x 3 x 809 = 77664

Least Common Multiple of 32,24,809 with GCF Formula

Least Common Multiple of 32,24,809 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 32,24,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,24,809) = 1

common factors(in case of two or more numbers have common factors) = 8

GCF(32,24,809) x common factors =1 x 8 = 8

LCM(32,24,809) = ( 32 × 24 × 809 ) / 8

LCM(32,24,809) = 621312 / 8

LCM(32,24,809) = 77664


Lets's calculate GCF of 48,75,482

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 77664/1

Therefore the LCM of Fractions 32/48,24/75,809/482 is 77664

Greatest Common Factor of 48,75,482 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,75,482 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 482

List of positive integer factors of 482 that divides 482 without a remainder.

1,2,241,482

Greatest Common Factor

We found the factors 48,75,482 . The biggest common factor number is the GCF number.
So the greatest common factor 48,75,482 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 32/48, 24/75, 809/482

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 32/48, 24/75, 809/482?

Answer: LCM of Numerators as per given numbers 32/48, 24/75, 809/482 is

LCM of Numerators i.e. for 32,24,809 is 77664

GCF of denominators i.e. for 48,75,482 is 1.

Thus, LCM of Fractions is 77664.Finally, LCM of Fractions for 32/48, 24/75, 809/482 is 77664.