Least Common Multiple of 827/21, 313/3342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 827/21, 313/3342 quickly i.e. 258851/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 827/21, 313/3342 is 258851/3.

LCM(827/21, 313/3342) = 258851/3

LCM of 827/21, 313/3342

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 827/21,313/3342

Given numbers are 827/21,313/3342

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 827,313

Least Common Multiple of Numerators i.e. LCM of 827,313 is 258851.

GCF of Denominators means GCF of 21,3342 as per the given fractions.

GCF of 21,3342 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 827,313

LCM of Fractions 827/21,313/3342 is 258851/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 258851

Least Common Multiple of 827,313 with GCF Formula

Least Common Multiple of 827,313 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 827,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,313) = 1

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

GCF(827,313) x common factors =1 x 1 = 1

LCM(827,313) = ( 827 × 313 ) / 1

LCM(827,313) = 258851 / 1

LCM(827,313) = 258851


Lets's calculate GCF of 21,3342

3 21, 3342
7, 1114

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 258851/3

Therefore the LCM of Fractions 827/21,313/3342 is 258851/3

Greatest Common Factor of 21,3342 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,3342 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 3342

List of positive integer factors of 3342 that divides 3342 without a remainder.

1,2,3,6,557,1114,1671,3342

Greatest Common Factor

We found the factors 21,3342 . The biggest common factor number is the GCF number.
So the greatest common factor 21,3342 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 827/21, 313/3342

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 827/21, 313/3342?

Answer: LCM of Numerators as per given numbers 827/21, 313/3342 is

LCM of Numerators i.e. for 827,313 is 258851

GCF of denominators i.e. for 21,3342 is 3.

Thus, LCM of Fractions is 258851/3.Finally, LCM of Fractions for 827/21, 313/3342 is 258851/3.