Least Common Multiple of 3563/319, 5804/4752

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3563/319, 5804/4752 quickly i.e. 20679652/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3563/319, 5804/4752 is 20679652/11.

LCM(3563/319, 5804/4752) = 20679652/11

LCM of 3563/319, 5804/4752

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 3563/319,5804/4752

Given numbers are 3563/319,5804/4752

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 3563,5804

Least Common Multiple of Numerators i.e. LCM of 3563,5804 is 20679652.

GCF of Denominators means GCF of 319,4752 as per the given fractions.

GCF of 319,4752 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3563,5804

LCM of Fractions 3563/319,5804/4752 is 20679652/11

Given numbers has no common factors except 1. So, there LCM is their product i.e 20679652

Least Common Multiple of 3563,5804 with GCF Formula

Least Common Multiple of 3563,5804 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 3563,5804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3563,5804) = 1

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

GCF(3563,5804) x common factors =1 x 1 = 1

LCM(3563,5804) = ( 3563 × 5804 ) / 1

LCM(3563,5804) = 20679652 / 1

LCM(3563,5804) = 20679652


Lets's calculate GCF of 319,4752

11 319, 4752
29, 432

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20679652/11

Therefore the LCM of Fractions 3563/319,5804/4752 is 20679652/11

Greatest Common Factor of 319,4752 By Matching Biggest Common Factor Method

Greatest Common Factor of 319,4752 By Matching Biggest Common Factor Method

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Factors of 4752

List of positive integer factors of 4752 that divides 4752 without a remainder.

1,2,3,4,6,8,9,11,12,16,18,22,24,27,33,36,44,48,54,66,72,88,99,108,132,144,176,198,216,264,297,396,432,528,594,792,1188,1584,2376,4752

Greatest Common Factor

We found the factors 319,4752 . The biggest common factor number is the GCF number.
So the greatest common factor 319,4752 is 11.


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 3563/319, 5804/4752

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 3563/319, 5804/4752?

Answer: LCM of Numerators as per given numbers 3563/319, 5804/4752 is

LCM of Numerators i.e. for 3563,5804 is 20679652

GCF of denominators i.e. for 319,4752 is 11.

Thus, LCM of Fractions is 20679652/11.Finally, LCM of Fractions for 3563/319, 5804/4752 is 20679652/11.