Least Common Multiple of 8017/828, 3564/2553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8017/828, 3564/2553 quickly i.e. 28572588/69 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8017/828, 3564/2553 is 28572588/69.

LCM(8017/828, 3564/2553) = 28572588/69

LCM of 8017/828, 3564/2553

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 8017/828,3564/2553

Given numbers are 8017/828,3564/2553

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 8017,3564

Least Common Multiple of Numerators i.e. LCM of 8017,3564 is 28572588.

GCF of Denominators means GCF of 828,2553 as per the given fractions.

GCF of 828,2553 is 69 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8017,3564

LCM of Fractions 8017/828,3564/2553 is 28572588/69

Given numbers has no common factors except 1. So, there LCM is their product i.e 28572588

Least Common Multiple of 8017,3564 with GCF Formula

Least Common Multiple of 8017,3564 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 8017,3564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8017,3564) = 1

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

GCF(8017,3564) x common factors =1 x 1 = 1

LCM(8017,3564) = ( 8017 × 3564 ) / 1

LCM(8017,3564) = 28572588 / 1

LCM(8017,3564) = 28572588


Lets's calculate GCF of 828,2553

3 828, 2553
23 276, 851
12, 37

∴ So the GCF of the given numbers is 3 x 23 = 69

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28572588/69

Therefore the LCM of Fractions 8017/828,3564/2553 is 28572588/69

Greatest Common Factor of 828,2553 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,2553 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 2553

List of positive integer factors of 2553 that divides 2553 without a remainder.

1,3,23,37,69,111,851,2553

Greatest Common Factor

We found the factors 828,2553 . The biggest common factor number is the GCF number.
So the greatest common factor 828,2553 is 69.


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 8017/828, 3564/2553

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 8017/828, 3564/2553?

Answer: LCM of Numerators as per given numbers 8017/828, 3564/2553 is

LCM of Numerators i.e. for 8017,3564 is 28572588

GCF of denominators i.e. for 828,2553 is 69.

Thus, LCM of Fractions is 28572588/69.Finally, LCM of Fractions for 8017/828, 3564/2553 is 28572588/69.