Least Common Multiple of 8523/602, 4443/5617

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8523/602, 4443/5617 quickly i.e. 12622563 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8523/602, 4443/5617 is 12622563.

LCM(8523/602, 4443/5617) = 12622563

LCM of 8523/602, 4443/5617

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 8523/602,4443/5617

Given numbers are 8523/602,4443/5617

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 8523,4443

Least Common Multiple of Numerators i.e. LCM of 8523,4443 is 12622563.

GCF of Denominators means GCF of 602,5617 as per the given fractions.

GCF of 602,5617 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8523,4443

LCM of Fractions 8523/602,4443/5617 is 12622563

3 8523, 4443
2841, 1481

∴ So the LCM of the given numbers is 3 x 2841 x 1481 = 12622563

Least Common Multiple of 8523,4443 with GCF Formula

Least Common Multiple of 8523,4443 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 8523,4443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8523,4443) = 3

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

GCF(8523,4443) x common factors =3 x 1 = 3

LCM(8523,4443) = ( 8523 × 4443 ) / 3

LCM(8523,4443) = 37867689 / 3

LCM(8523,4443) = 12622563


Lets's calculate GCF of 602,5617

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12622563/1

Therefore the LCM of Fractions 8523/602,4443/5617 is 12622563

Greatest Common Factor of 602,5617 By Matching Biggest Common Factor Method

Greatest Common Factor of 602,5617 By Matching Biggest Common Factor Method

Factors of 602

List of positive integer factors of 602 that divides 602 without a remainder.

1,2,7,14,43,86,301,602

Factors of 5617

List of positive integer factors of 5617 that divides 5617 without a remainder.

1,41,137,5617

Greatest Common Factor

We found the factors 602,5617 . The biggest common factor number is the GCF number.
So the greatest common factor 602,5617 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 8523/602, 4443/5617

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 8523/602, 4443/5617?

Answer: LCM of Numerators as per given numbers 8523/602, 4443/5617 is

LCM of Numerators i.e. for 8523,4443 is 12622563

GCF of denominators i.e. for 602,5617 is 1.

Thus, LCM of Fractions is 12622563.Finally, LCM of Fractions for 8523/602, 4443/5617 is 12622563.