Least Common Multiple of 214/27, 656/33, 483/987

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 214/27, 656/33, 483/987 quickly i.e. 11300912 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 214/27, 656/33, 483/987 is 11300912.

LCM(214/27, 656/33, 483/987) = 11300912

LCM of 214/27, 656/33, 483/987

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 214/27,656/33,483/987

Given numbers are 214/27,656/33,483/987

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 214,656,483

Least Common Multiple of Numerators i.e. LCM of 214,656,483 is 33902736.

GCF of Denominators means GCF of 27,33,987 as per the given fractions.

GCF of 27,33,987 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 214,656,483

LCM of Fractions 214/27,656/33,483/987 is 11300912

2 214, 656, 483
107, 328, 483

∴ So the LCM of the given numbers is 2 x 107 x 328 x 483 = 33902736

Least Common Multiple of 214,656,483 with GCF Formula

Least Common Multiple of 214,656,483 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 214,656,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,656,483) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(214,656,483) x common factors =1 x 2 = 2

LCM(214,656,483) = ( 214 × 656 × 483 ) / 2

LCM(214,656,483) = 67805472 / 2

LCM(214,656,483) = 33902736


Lets's calculate GCF of 27,33,987

3 27, 33, 987
9, 11, 329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33902736/3

Therefore the LCM of Fractions 214/27,656/33,483/987 is 11300912

Greatest Common Factor of 27,33,987 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,33,987 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 33

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

1,3,11,33

Factors of 987

List of positive integer factors of 987 that divides 987 without a remainder.

1,3,7,21,47,141,329,987

Greatest Common Factor

We found the factors 27,33,987 . The biggest common factor number is the GCF number.
So the greatest common factor 27,33,987 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 214/27, 656/33, 483/987

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 214/27, 656/33, 483/987?

Answer: LCM of Numerators as per given numbers 214/27, 656/33, 483/987 is

LCM of Numerators i.e. for 214,656,483 is 33902736

GCF of denominators i.e. for 27,33,987 is 3.

Thus, LCM of Fractions is 11300912.Finally, LCM of Fractions for 214/27, 656/33, 483/987 is 11300912.