Least Common Multiple of 8162/590, 4562/4157

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8162/590, 4562/4157 quickly i.e. 18617522 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8162/590, 4562/4157 is 18617522.

LCM(8162/590, 4562/4157) = 18617522

LCM of 8162/590, 4562/4157

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 8162/590,4562/4157

Given numbers are 8162/590,4562/4157

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 8162,4562

Least Common Multiple of Numerators i.e. LCM of 8162,4562 is 18617522.

GCF of Denominators means GCF of 590,4157 as per the given fractions.

GCF of 590,4157 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8162,4562

LCM of Fractions 8162/590,4562/4157 is 18617522

2 8162, 4562
4081, 2281

∴ So the LCM of the given numbers is 2 x 4081 x 2281 = 18617522

Least Common Multiple of 8162,4562 with GCF Formula

Least Common Multiple of 8162,4562 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 8162,4562 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8162,4562) = 2

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

GCF(8162,4562) x common factors =2 x 1 = 2

LCM(8162,4562) = ( 8162 × 4562 ) / 2

LCM(8162,4562) = 37235044 / 2

LCM(8162,4562) = 18617522


Lets's calculate GCF of 590,4157

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18617522/1

Therefore the LCM of Fractions 8162/590,4562/4157 is 18617522

Greatest Common Factor of 590,4157 By Matching Biggest Common Factor Method

Greatest Common Factor of 590,4157 By Matching Biggest Common Factor Method

Factors of 590

List of positive integer factors of 590 that divides 590 without a remainder.

1,2,5,10,59,118,295,590

Factors of 4157

List of positive integer factors of 4157 that divides 4157 without a remainder.

1,4157

Greatest Common Factor

We found the factors 590,4157 . The biggest common factor number is the GCF number.
So the greatest common factor 590,4157 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 8162/590, 4562/4157

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 8162/590, 4562/4157?

Answer: LCM of Numerators as per given numbers 8162/590, 4562/4157 is

LCM of Numerators i.e. for 8162,4562 is 18617522

GCF of denominators i.e. for 590,4157 is 1.

Thus, LCM of Fractions is 18617522.Finally, LCM of Fractions for 8162/590, 4562/4157 is 18617522.