Least Common Multiple of 6532/369, 4830/2904

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6532/369, 4830/2904 quickly i.e. 228620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6532/369, 4830/2904 is 228620.

LCM(6532/369, 4830/2904) = 228620

LCM of 6532/369, 4830/2904

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 6532/369,4830/2904

Given numbers are 6532/369,4830/2904

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 6532,4830

Least Common Multiple of Numerators i.e. LCM of 6532,4830 is 685860.

GCF of Denominators means GCF of 369,2904 as per the given fractions.

GCF of 369,2904 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6532,4830

LCM of Fractions 6532/369,4830/2904 is 228620

2 6532, 4830
23 3266, 2415
142, 105

∴ So the LCM of the given numbers is 2 x 23 x 142 x 105 = 685860

Least Common Multiple of 6532,4830 with GCF Formula

Least Common Multiple of 6532,4830 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 6532,4830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6532,4830) = 46

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

GCF(6532,4830) x common factors =46 x 1 = 46

LCM(6532,4830) = ( 6532 × 4830 ) / 46

LCM(6532,4830) = 31549560 / 46

LCM(6532,4830) = 685860


Lets's calculate GCF of 369,2904

3 369, 2904
123, 968

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 685860/3

Therefore the LCM of Fractions 6532/369,4830/2904 is 228620

Greatest Common Factor of 369,2904 By Matching Biggest Common Factor Method

Greatest Common Factor of 369,2904 By Matching Biggest Common Factor Method

Factors of 369

List of positive integer factors of 369 that divides 369 without a remainder.

1,3,9,41,123,369

Factors of 2904

List of positive integer factors of 2904 that divides 2904 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,121,132,242,264,363,484,726,968,1452,2904

Greatest Common Factor

We found the factors 369,2904 . The biggest common factor number is the GCF number.
So the greatest common factor 369,2904 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 6532/369, 4830/2904

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 6532/369, 4830/2904?

Answer: LCM of Numerators as per given numbers 6532/369, 4830/2904 is

LCM of Numerators i.e. for 6532,4830 is 685860

GCF of denominators i.e. for 369,2904 is 3.

Thus, LCM of Fractions is 228620.Finally, LCM of Fractions for 6532/369, 4830/2904 is 228620.