Least Common Multiple of 808/48, 328/3589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 808/48, 328/3589 quickly i.e. 33128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 808/48, 328/3589 is 33128.

LCM(808/48, 328/3589) = 33128

LCM of 808/48, 328/3589

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 808/48,328/3589

Given numbers are 808/48,328/3589

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 808,328

Least Common Multiple of Numerators i.e. LCM of 808,328 is 33128.

GCF of Denominators means GCF of 48,3589 as per the given fractions.

GCF of 48,3589 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 808,328

LCM of Fractions 808/48,328/3589 is 33128

2 808, 328
2 404, 164
2 202, 82
101, 41

∴ So the LCM of the given numbers is 2 x 2 x 2 x 101 x 41 = 33128

Least Common Multiple of 808,328 with GCF Formula

Least Common Multiple of 808,328 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 808,328 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,328) = 8

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

GCF(808,328) x common factors =8 x 1 = 8

LCM(808,328) = ( 808 × 328 ) / 8

LCM(808,328) = 265024 / 8

LCM(808,328) = 33128


Lets's calculate GCF of 48,3589

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33128/1

Therefore the LCM of Fractions 808/48,328/3589 is 33128

Greatest Common Factor of 48,3589 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,3589 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 3589

List of positive integer factors of 3589 that divides 3589 without a remainder.

1,37,97,3589

Greatest Common Factor

We found the factors 48,3589 . The biggest common factor number is the GCF number.
So the greatest common factor 48,3589 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 808/48, 328/3589

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 808/48, 328/3589?

Answer: LCM of Numerators as per given numbers 808/48, 328/3589 is

LCM of Numerators i.e. for 808,328 is 33128

GCF of denominators i.e. for 48,3589 is 1.

Thus, LCM of Fractions is 33128.Finally, LCM of Fractions for 808/48, 328/3589 is 33128.