Least Common Multiple of 3493/589, 7889/4463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3493/589, 7889/4463 quickly i.e. 3936611 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3493/589, 7889/4463 is 3936611.

LCM(3493/589, 7889/4463) = 3936611

LCM of 3493/589, 7889/4463

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 3493/589,7889/4463

Given numbers are 3493/589,7889/4463

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 3493,7889

Least Common Multiple of Numerators i.e. LCM of 3493,7889 is 3936611.

GCF of Denominators means GCF of 589,4463 as per the given fractions.

GCF of 589,4463 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3493,7889

LCM of Fractions 3493/589,7889/4463 is 3936611

7 3493, 7889
499, 1127

∴ So the LCM of the given numbers is 7 x 499 x 1127 = 3936611

Least Common Multiple of 3493,7889 with GCF Formula

Least Common Multiple of 3493,7889 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 3493,7889 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3493,7889) = 7

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

GCF(3493,7889) x common factors =7 x 1 = 7

LCM(3493,7889) = ( 3493 × 7889 ) / 7

LCM(3493,7889) = 27556277 / 7

LCM(3493,7889) = 3936611


Lets's calculate GCF of 589,4463

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3936611/1

Therefore the LCM of Fractions 3493/589,7889/4463 is 3936611

Greatest Common Factor of 589,4463 By Matching Biggest Common Factor Method

Greatest Common Factor of 589,4463 By Matching Biggest Common Factor Method

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Factors of 4463

List of positive integer factors of 4463 that divides 4463 without a remainder.

1,4463

Greatest Common Factor

We found the factors 589,4463 . The biggest common factor number is the GCF number.
So the greatest common factor 589,4463 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 3493/589, 7889/4463

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 3493/589, 7889/4463?

Answer: LCM of Numerators as per given numbers 3493/589, 7889/4463 is

LCM of Numerators i.e. for 3493,7889 is 3936611

GCF of denominators i.e. for 589,4463 is 1.

Thus, LCM of Fractions is 3936611.Finally, LCM of Fractions for 3493/589, 7889/4463 is 3936611.