Least Common Multiple of 417/40, 823/9861

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 417/40, 823/9861 quickly i.e. 343191 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 417/40, 823/9861 is 343191.

LCM(417/40, 823/9861) = 343191

LCM of 417/40, 823/9861

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 417/40,823/9861

Given numbers are 417/40,823/9861

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 417,823

Least Common Multiple of Numerators i.e. LCM of 417,823 is 343191.

GCF of Denominators means GCF of 40,9861 as per the given fractions.

GCF of 40,9861 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 417,823

LCM of Fractions 417/40,823/9861 is 343191

Given numbers has no common factors except 1. So, there LCM is their product i.e 343191

Least Common Multiple of 417,823 with GCF Formula

Least Common Multiple of 417,823 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 417,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,823) = 1

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

GCF(417,823) x common factors =1 x 1 = 1

LCM(417,823) = ( 417 × 823 ) / 1

LCM(417,823) = 343191 / 1

LCM(417,823) = 343191


Lets's calculate GCF of 40,9861

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 343191/1

Therefore the LCM of Fractions 417/40,823/9861 is 343191

Greatest Common Factor of 40,9861 By Matching Biggest Common Factor Method

Greatest Common Factor of 40,9861 By Matching Biggest Common Factor Method

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 9861

List of positive integer factors of 9861 that divides 9861 without a remainder.

1,3,19,57,173,519,3287,9861

Greatest Common Factor

We found the factors 40,9861 . The biggest common factor number is the GCF number.
So the greatest common factor 40,9861 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 417/40, 823/9861

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 417/40, 823/9861?

Answer: LCM of Numerators as per given numbers 417/40, 823/9861 is

LCM of Numerators i.e. for 417,823 is 343191

GCF of denominators i.e. for 40,9861 is 1.

Thus, LCM of Fractions is 343191.Finally, LCM of Fractions for 417/40, 823/9861 is 343191.