Least Common Multiple of 7446/82, 3002/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7446/82, 3002/589 quickly i.e. 11176446 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7446/82, 3002/589 is 11176446.

LCM(7446/82, 3002/589) = 11176446

LCM of 7446/82, 3002/589

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 7446/82,3002/589

Given numbers are 7446/82,3002/589

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 7446,3002

Least Common Multiple of Numerators i.e. LCM of 7446,3002 is 11176446.

GCF of Denominators means GCF of 82,589 as per the given fractions.

GCF of 82,589 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7446,3002

LCM of Fractions 7446/82,3002/589 is 11176446

2 7446, 3002
3723, 1501

∴ So the LCM of the given numbers is 2 x 3723 x 1501 = 11176446

Least Common Multiple of 7446,3002 with GCF Formula

Least Common Multiple of 7446,3002 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 7446,3002 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7446,3002) = 2

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

GCF(7446,3002) x common factors =2 x 1 = 2

LCM(7446,3002) = ( 7446 × 3002 ) / 2

LCM(7446,3002) = 22352892 / 2

LCM(7446,3002) = 11176446


Lets's calculate GCF of 82,589

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11176446/1

Therefore the LCM of Fractions 7446/82,3002/589 is 11176446

Greatest Common Factor of 82,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,589 By Matching Biggest Common Factor Method

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 589

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

1,19,31,589

Greatest Common Factor

We found the factors 82,589 . The biggest common factor number is the GCF number.
So the greatest common factor 82,589 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 7446/82, 3002/589

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 7446/82, 3002/589?

Answer: LCM of Numerators as per given numbers 7446/82, 3002/589 is

LCM of Numerators i.e. for 7446,3002 is 11176446

GCF of denominators i.e. for 82,589 is 1.

Thus, LCM of Fractions is 11176446.Finally, LCM of Fractions for 7446/82, 3002/589 is 11176446.