Least Common Multiple of 838/18, 582/7465

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 838/18, 582/7465 quickly i.e. 243858 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 838/18, 582/7465 is 243858.

LCM(838/18, 582/7465) = 243858

LCM of 838/18, 582/7465

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 838/18,582/7465

Given numbers are 838/18,582/7465

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 838,582

Least Common Multiple of Numerators i.e. LCM of 838,582 is 243858.

GCF of Denominators means GCF of 18,7465 as per the given fractions.

GCF of 18,7465 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 838,582

LCM of Fractions 838/18,582/7465 is 243858

2 838, 582
419, 291

∴ So the LCM of the given numbers is 2 x 419 x 291 = 243858

Least Common Multiple of 838,582 with GCF Formula

Least Common Multiple of 838,582 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 838,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(838,582) = 2

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

GCF(838,582) x common factors =2 x 1 = 2

LCM(838,582) = ( 838 × 582 ) / 2

LCM(838,582) = 487716 / 2

LCM(838,582) = 243858


Lets's calculate GCF of 18,7465

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 243858/1

Therefore the LCM of Fractions 838/18,582/7465 is 243858

Greatest Common Factor of 18,7465 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,7465 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 7465

List of positive integer factors of 7465 that divides 7465 without a remainder.

1,5,1493,7465

Greatest Common Factor

We found the factors 18,7465 . The biggest common factor number is the GCF number.
So the greatest common factor 18,7465 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 838/18, 582/7465

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 838/18, 582/7465?

Answer: LCM of Numerators as per given numbers 838/18, 582/7465 is

LCM of Numerators i.e. for 838,582 is 243858

GCF of denominators i.e. for 18,7465 is 1.

Thus, LCM of Fractions is 243858.Finally, LCM of Fractions for 838/18, 582/7465 is 243858.