Least Common Multiple of 1589/418, 5602/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1589/418, 5602/339 quickly i.e. 8901578 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1589/418, 5602/339 is 8901578.

LCM(1589/418, 5602/339) = 8901578

LCM of 1589/418, 5602/339

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 1589/418,5602/339

Given numbers are 1589/418,5602/339

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 1589,5602

Least Common Multiple of Numerators i.e. LCM of 1589,5602 is 8901578.

GCF of Denominators means GCF of 418,339 as per the given fractions.

GCF of 418,339 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1589,5602

LCM of Fractions 1589/418,5602/339 is 8901578

Given numbers has no common factors except 1. So, there LCM is their product i.e 8901578

Least Common Multiple of 1589,5602 with GCF Formula

Least Common Multiple of 1589,5602 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 1589,5602 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1589,5602) = 1

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

GCF(1589,5602) x common factors =1 x 1 = 1

LCM(1589,5602) = ( 1589 × 5602 ) / 1

LCM(1589,5602) = 8901578 / 1

LCM(1589,5602) = 8901578


Lets's calculate GCF of 418,339

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8901578/1

Therefore the LCM of Fractions 1589/418,5602/339 is 8901578

Greatest Common Factor of 418,339 By Matching Biggest Common Factor Method

Greatest Common Factor of 418,339 By Matching Biggest Common Factor Method

Factors of 418

List of positive integer factors of 418 that divides 418 without a remainder.

1,2,11,19,22,38,209,418

Factors of 339

List of positive integer factors of 339 that divides 339 without a remainder.

1,3,113,339

Greatest Common Factor

We found the factors 418,339 . The biggest common factor number is the GCF number.
So the greatest common factor 418,339 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 1589/418, 5602/339

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 1589/418, 5602/339?

Answer: LCM of Numerators as per given numbers 1589/418, 5602/339 is

LCM of Numerators i.e. for 1589,5602 is 8901578

GCF of denominators i.e. for 418,339 is 1.

Thus, LCM of Fractions is 8901578.Finally, LCM of Fractions for 1589/418, 5602/339 is 8901578.