Least Common Multiple of 2529/585, 6728/4620

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 2529/585, 6728/4620 quickly i.e. 17015112/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 2529/585, 6728/4620 is 17015112/15.

LCM(2529/585, 6728/4620) = 17015112/15

LCM of 2529/585, 6728/4620

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 2529/585,6728/4620

Given numbers are 2529/585,6728/4620

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 2529,6728

Least Common Multiple of Numerators i.e. LCM of 2529,6728 is 17015112.

GCF of Denominators means GCF of 585,4620 as per the given fractions.

GCF of 585,4620 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 2529,6728

LCM of Fractions 2529/585,6728/4620 is 17015112/15

Given numbers has no common factors except 1. So, there LCM is their product i.e 17015112

Least Common Multiple of 2529,6728 with GCF Formula

Least Common Multiple of 2529,6728 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 2529,6728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(2529,6728) = 1

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

GCF(2529,6728) x common factors =1 x 1 = 1

LCM(2529,6728) = ( 2529 × 6728 ) / 1

LCM(2529,6728) = 17015112 / 1

LCM(2529,6728) = 17015112


Lets's calculate GCF of 585,4620

3 585, 4620
5 195, 1540
39, 308

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17015112/15

Therefore the LCM of Fractions 2529/585,6728/4620 is 17015112/15

Greatest Common Factor of 585,4620 By Matching Biggest Common Factor Method

Greatest Common Factor of 585,4620 By Matching Biggest Common Factor Method

Factors of 585

List of positive integer factors of 585 that divides 585 without a remainder.

1,3,5,9,13,15,39,45,65,117,195,585

Factors of 4620

List of positive integer factors of 4620 that divides 4620 without a remainder.

1,2,3,4,5,6,7,10,11,12,14,15,20,21,22,28,30,33,35,42,44,55,60,66,70,77,84,105,110,132,140,154,165,210,220,231,308,330,385,420,462,660,770,924,1155,1540,2310,4620

Greatest Common Factor

We found the factors 585,4620 . The biggest common factor number is the GCF number.
So the greatest common factor 585,4620 is 15.


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 2529/585, 6728/4620

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 2529/585, 6728/4620?

Answer: LCM of Numerators as per given numbers 2529/585, 6728/4620 is

LCM of Numerators i.e. for 2529,6728 is 17015112

GCF of denominators i.e. for 585,4620 is 15.

Thus, LCM of Fractions is 17015112/15.Finally, LCM of Fractions for 2529/585, 6728/4620 is 17015112/15.