Least Common Multiple of 827/33, 9589/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 827/33, 9589/420 quickly i.e. 7930103/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 827/33, 9589/420 is 7930103/3.

LCM(827/33, 9589/420) = 7930103/3

LCM of 827/33, 9589/420

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 827/33,9589/420

Given numbers are 827/33,9589/420

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 827,9589

Least Common Multiple of Numerators i.e. LCM of 827,9589 is 7930103.

GCF of Denominators means GCF of 33,420 as per the given fractions.

GCF of 33,420 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 827,9589

LCM of Fractions 827/33,9589/420 is 7930103/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 7930103

Least Common Multiple of 827,9589 with GCF Formula

Least Common Multiple of 827,9589 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 827,9589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,9589) = 1

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

GCF(827,9589) x common factors =1 x 1 = 1

LCM(827,9589) = ( 827 × 9589 ) / 1

LCM(827,9589) = 7930103 / 1

LCM(827,9589) = 7930103


Lets's calculate GCF of 33,420

3 33, 420
11, 140

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7930103/3

Therefore the LCM of Fractions 827/33,9589/420 is 7930103/3

Greatest Common Factor of 33,420 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,420 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Greatest Common Factor

We found the factors 33,420 . The biggest common factor number is the GCF number.
So the greatest common factor 33,420 is 3.


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 827/33, 9589/420

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 827/33, 9589/420?

Answer: LCM of Numerators as per given numbers 827/33, 9589/420 is

LCM of Numerators i.e. for 827,9589 is 7930103

GCF of denominators i.e. for 33,420 is 3.

Thus, LCM of Fractions is 7930103/3.Finally, LCM of Fractions for 827/33, 9589/420 is 7930103/3.