Least Common Multiple of 199/54, 669/28, 216/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 199/54, 669/28, 216/217 quickly i.e. 9585432 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 199/54, 669/28, 216/217 is 9585432.

LCM(199/54, 669/28, 216/217) = 9585432

LCM of 199/54, 669/28, 216/217

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 199/54,669/28,216/217

Given numbers are 199/54,669/28,216/217

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 199,669,216

Least Common Multiple of Numerators i.e. LCM of 199,669,216 is 9585432.

GCF of Denominators means GCF of 54,28,217 as per the given fractions.

GCF of 54,28,217 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 199,669,216

LCM of Fractions 199/54,669/28,216/217 is 9585432

3 199, 669, 216
199, 223, 72

∴ So the LCM of the given numbers is 3 x 199 x 223 x 72 = 9585432

Least Common Multiple of 199,669,216 with GCF Formula

Least Common Multiple of 199,669,216 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 199,669,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(199,669,216) = 1

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

GCF(199,669,216) x common factors =1 x 3 = 3

LCM(199,669,216) = ( 199 × 669 × 216 ) / 3

LCM(199,669,216) = 28756296 / 3

LCM(199,669,216) = 9585432


Lets's calculate GCF of 54,28,217

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9585432/1

Therefore the LCM of Fractions 199/54,669/28,216/217 is 9585432

Greatest Common Factor of 54,28,217 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,28,217 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 217

List of positive integer factors of 217 that divides 217 without a remainder.

1,7,31,217

Greatest Common Factor

We found the factors 54,28,217 . The biggest common factor number is the GCF number.
So the greatest common factor 54,28,217 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 199/54, 669/28, 216/217

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 199/54, 669/28, 216/217?

Answer: LCM of Numerators as per given numbers 199/54, 669/28, 216/217 is

LCM of Numerators i.e. for 199,669,216 is 9585432

GCF of denominators i.e. for 54,28,217 is 1.

Thus, LCM of Fractions is 9585432.Finally, LCM of Fractions for 199/54, 669/28, 216/217 is 9585432.