Least Common Multiple of 818/621, 2441/972

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 818/621, 2441/972 quickly i.e. 1996738/27 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 818/621, 2441/972 is 1996738/27.

LCM(818/621, 2441/972) = 1996738/27

LCM of 818/621, 2441/972

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 818/621,2441/972

Given numbers are 818/621,2441/972

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 818,2441

Least Common Multiple of Numerators i.e. LCM of 818,2441 is 1996738.

GCF of Denominators means GCF of 621,972 as per the given fractions.

GCF of 621,972 is 27 as it is the largest common factor for these numbers.

Lets's calculate LCM of 818,2441

LCM of Fractions 818/621,2441/972 is 1996738/27

Given numbers has no common factors except 1. So, there LCM is their product i.e 1996738

Least Common Multiple of 818,2441 with GCF Formula

Least Common Multiple of 818,2441 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 818,2441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(818,2441) = 1

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

GCF(818,2441) x common factors =1 x 1 = 1

LCM(818,2441) = ( 818 × 2441 ) / 1

LCM(818,2441) = 1996738 / 1

LCM(818,2441) = 1996738


Lets's calculate GCF of 621,972

3 621, 972
3 207, 324
3 69, 108
23, 36

∴ So the GCF of the given numbers is 3 x 3 x 3 = 27

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1996738/27

Therefore the LCM of Fractions 818/621,2441/972 is 1996738/27

Greatest Common Factor of 621,972 By Matching Biggest Common Factor Method

Greatest Common Factor of 621,972 By Matching Biggest Common Factor Method

Factors of 621

List of positive integer factors of 621 that divides 621 without a remainder.

1,3,9,23,27,69,207,621

Factors of 972

List of positive integer factors of 972 that divides 972 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,243,324,486,972

Greatest Common Factor

We found the factors 621,972 . The biggest common factor number is the GCF number.
So the greatest common factor 621,972 is 27.


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 818/621, 2441/972

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 818/621, 2441/972?

Answer: LCM of Numerators as per given numbers 818/621, 2441/972 is

LCM of Numerators i.e. for 818,2441 is 1996738

GCF of denominators i.e. for 621,972 is 27.

Thus, LCM of Fractions is 1996738/27.Finally, LCM of Fractions for 818/621, 2441/972 is 1996738/27.