Least Common Multiple of 422/873, 8345/7821

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 422/873, 8345/7821 quickly i.e. 3521590/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 422/873, 8345/7821 is 3521590/9.

LCM(422/873, 8345/7821) = 3521590/9

LCM of 422/873, 8345/7821

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 422/873,8345/7821

Given numbers are 422/873,8345/7821

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 422,8345

Least Common Multiple of Numerators i.e. LCM of 422,8345 is 3521590.

GCF of Denominators means GCF of 873,7821 as per the given fractions.

GCF of 873,7821 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 422,8345

LCM of Fractions 422/873,8345/7821 is 3521590/9

Given numbers has no common factors except 1. So, there LCM is their product i.e 3521590

Least Common Multiple of 422,8345 with GCF Formula

Least Common Multiple of 422,8345 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 422,8345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(422,8345) = 1

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

GCF(422,8345) x common factors =1 x 1 = 1

LCM(422,8345) = ( 422 × 8345 ) / 1

LCM(422,8345) = 3521590 / 1

LCM(422,8345) = 3521590


Lets's calculate GCF of 873,7821

3 873, 7821
3 291, 2607
97, 869

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3521590/9

Therefore the LCM of Fractions 422/873,8345/7821 is 3521590/9

Greatest Common Factor of 873,7821 By Matching Biggest Common Factor Method

Greatest Common Factor of 873,7821 By Matching Biggest Common Factor Method

Factors of 873

List of positive integer factors of 873 that divides 873 without a remainder.

1,3,9,97,291,873

Factors of 7821

List of positive integer factors of 7821 that divides 7821 without a remainder.

1,3,9,11,33,79,99,237,711,869,2607,7821

Greatest Common Factor

We found the factors 873,7821 . The biggest common factor number is the GCF number.
So the greatest common factor 873,7821 is 9.


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 422/873, 8345/7821

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 422/873, 8345/7821?

Answer: LCM of Numerators as per given numbers 422/873, 8345/7821 is

LCM of Numerators i.e. for 422,8345 is 3521590

GCF of denominators i.e. for 873,7821 is 9.

Thus, LCM of Fractions is 3521590/9.Finally, LCM of Fractions for 422/873, 8345/7821 is 3521590/9.