Least Common Multiple of 27/209, 66/929, 508/244

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/209, 66/929, 508/244 quickly i.e. 150876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/209, 66/929, 508/244 is 150876.

LCM(27/209, 66/929, 508/244) = 150876

LCM of 27/209, 66/929, 508/244

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 27/209,66/929,508/244

Given numbers are 27/209,66/929,508/244

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 27,66,508

Least Common Multiple of Numerators i.e. LCM of 27,66,508 is 150876.

GCF of Denominators means GCF of 209,929,244 as per the given fractions.

GCF of 209,929,244 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,66,508

LCM of Fractions 27/209,66/929,508/244 is 150876

2 27, 66, 508
3 27, 33, 254
9, 11, 254

∴ So the LCM of the given numbers is 2 x 3 x 9 x 11 x 254 = 150876

Least Common Multiple of 27,66,508 with GCF Formula

Least Common Multiple of 27,66,508 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 27,66,508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,66,508) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(27,66,508) x common factors =1 x 6 = 6

LCM(27,66,508) = ( 27 × 66 × 508 ) / 6

LCM(27,66,508) = 905256 / 6

LCM(27,66,508) = 150876


Lets's calculate GCF of 209,929,244

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 150876/1

Therefore the LCM of Fractions 27/209,66/929,508/244 is 150876

Greatest Common Factor of 209,929,244 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,929,244 By Matching Biggest Common Factor Method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 929

List of positive integer factors of 929 that divides 929 without a remainder.

1,929

Factors of 244

List of positive integer factors of 244 that divides 244 without a remainder.

1,2,4,61,122,244

Greatest Common Factor

We found the factors 209,929,244 . The biggest common factor number is the GCF number.
So the greatest common factor 209,929,244 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 27/209, 66/929, 508/244

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 27/209, 66/929, 508/244?

Answer: LCM of Numerators as per given numbers 27/209, 66/929, 508/244 is

LCM of Numerators i.e. for 27,66,508 is 150876

GCF of denominators i.e. for 209,929,244 is 1.

Thus, LCM of Fractions is 150876.Finally, LCM of Fractions for 27/209, 66/929, 508/244 is 150876.