Least Common Multiple of 417/820, 3665/9389

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 417/820, 3665/9389 quickly i.e. 1528305/41 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 417/820, 3665/9389 is 1528305/41.

LCM(417/820, 3665/9389) = 1528305/41

LCM of 417/820, 3665/9389

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 417/820,3665/9389

Given numbers are 417/820,3665/9389

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 417,3665

Least Common Multiple of Numerators i.e. LCM of 417,3665 is 1528305.

GCF of Denominators means GCF of 820,9389 as per the given fractions.

GCF of 820,9389 is 41 as it is the largest common factor for these numbers.

Lets's calculate LCM of 417,3665

LCM of Fractions 417/820,3665/9389 is 1528305/41

Given numbers has no common factors except 1. So, there LCM is their product i.e 1528305

Least Common Multiple of 417,3665 with GCF Formula

Least Common Multiple of 417,3665 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 417,3665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,3665) = 1

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

GCF(417,3665) x common factors =1 x 1 = 1

LCM(417,3665) = ( 417 × 3665 ) / 1

LCM(417,3665) = 1528305 / 1

LCM(417,3665) = 1528305


Lets's calculate GCF of 820,9389

41 820, 9389
20, 229

∴ So the GCF of the given numbers is 41 = 41

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1528305/41

Therefore the LCM of Fractions 417/820,3665/9389 is 1528305/41

Greatest Common Factor of 820,9389 By Matching Biggest Common Factor Method

Greatest Common Factor of 820,9389 By Matching Biggest Common Factor Method

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Factors of 9389

List of positive integer factors of 9389 that divides 9389 without a remainder.

1,41,229,9389

Greatest Common Factor

We found the factors 820,9389 . The biggest common factor number is the GCF number.
So the greatest common factor 820,9389 is 41.


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 417/820, 3665/9389

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 417/820, 3665/9389?

Answer: LCM of Numerators as per given numbers 417/820, 3665/9389 is

LCM of Numerators i.e. for 417,3665 is 1528305

GCF of denominators i.e. for 820,9389 is 41.

Thus, LCM of Fractions is 1528305/41.Finally, LCM of Fractions for 417/820, 3665/9389 is 1528305/41.