Least Common Multiple of 213/19, 846/48, 633/483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 213/19, 846/48, 633/483 quickly i.e. 12673926 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 213/19, 846/48, 633/483 is 12673926.

LCM(213/19, 846/48, 633/483) = 12673926

LCM of 213/19, 846/48, 633/483

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 213/19,846/48,633/483

Given numbers are 213/19,846/48,633/483

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 213,846,633

Least Common Multiple of Numerators i.e. LCM of 213,846,633 is 12673926.

GCF of Denominators means GCF of 19,48,483 as per the given fractions.

GCF of 19,48,483 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 213,846,633

LCM of Fractions 213/19,846/48,633/483 is 12673926

3 213, 846, 633
71, 282, 211

∴ So the LCM of the given numbers is 3 x 71 x 282 x 211 = 12673926

Least Common Multiple of 213,846,633 with GCF Formula

Least Common Multiple of 213,846,633 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 213,846,633 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,846,633) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(213,846,633) x common factors =3 x 3 = 9

LCM(213,846,633) = ( 213 × 846 × 633 ) / 9

LCM(213,846,633) = 114065334 / 9

LCM(213,846,633) = 12673926


Lets's calculate GCF of 19,48,483

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12673926/1

Therefore the LCM of Fractions 213/19,846/48,633/483 is 12673926

Greatest Common Factor of 19,48,483 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,48,483 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Greatest Common Factor

We found the factors 19,48,483 . The biggest common factor number is the GCF number.
So the greatest common factor 19,48,483 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 213/19, 846/48, 633/483

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 213/19, 846/48, 633/483?

Answer: LCM of Numerators as per given numbers 213/19, 846/48, 633/483 is

LCM of Numerators i.e. for 213,846,633 is 12673926

GCF of denominators i.e. for 19,48,483 is 1.

Thus, LCM of Fractions is 12673926.Finally, LCM of Fractions for 213/19, 846/48, 633/483 is 12673926.