Least Common Multiple of 5830/303, 6563/171

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5830/303, 6563/171 quickly i.e. 38262290/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5830/303, 6563/171 is 38262290/3.

LCM(5830/303, 6563/171) = 38262290/3

LCM of 5830/303, 6563/171

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 5830/303,6563/171

Given numbers are 5830/303,6563/171

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 5830,6563

Least Common Multiple of Numerators i.e. LCM of 5830,6563 is 38262290.

GCF of Denominators means GCF of 303,171 as per the given fractions.

GCF of 303,171 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5830,6563

LCM of Fractions 5830/303,6563/171 is 38262290/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 38262290

Least Common Multiple of 5830,6563 with GCF Formula

Least Common Multiple of 5830,6563 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 5830,6563 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5830,6563) = 1

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

GCF(5830,6563) x common factors =1 x 1 = 1

LCM(5830,6563) = ( 5830 × 6563 ) / 1

LCM(5830,6563) = 38262290 / 1

LCM(5830,6563) = 38262290


Lets's calculate GCF of 303,171

3 303, 171
101, 57

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38262290/3

Therefore the LCM of Fractions 5830/303,6563/171 is 38262290/3

Greatest Common Factor of 303,171 By Matching Biggest Common Factor Method

Greatest Common Factor of 303,171 By Matching Biggest Common Factor Method

Factors of 303

List of positive integer factors of 303 that divides 303 without a remainder.

1,3,101,303

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Greatest Common Factor

We found the factors 303,171 . The biggest common factor number is the GCF number.
So the greatest common factor 303,171 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 5830/303, 6563/171

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 5830/303, 6563/171?

Answer: LCM of Numerators as per given numbers 5830/303, 6563/171 is

LCM of Numerators i.e. for 5830,6563 is 38262290

GCF of denominators i.e. for 303,171 is 3.

Thus, LCM of Fractions is 38262290/3.Finally, LCM of Fractions for 5830/303, 6563/171 is 38262290/3.