Least Common Multiple of 51/608, 15/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 51/608, 15/209 quickly i.e. 255/19 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 51/608, 15/209 is 255/19.

LCM(51/608, 15/209) = 255/19

LCM of 51/608, 15/209

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 51/608,15/209

Given numbers are 51/608,15/209

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 51,15

Least Common Multiple of Numerators i.e. LCM of 51,15 is 255.

GCF of Denominators means GCF of 608,209 as per the given fractions.

GCF of 608,209 is 19 as it is the largest common factor for these numbers.

Lets's calculate LCM of 51,15

LCM of Fractions 51/608,15/209 is 255/19

3 51, 15
17, 5

∴ So the LCM of the given numbers is 3 x 17 x 5 = 255

Least Common Multiple of 51,15 with GCF Formula

Least Common Multiple of 51,15 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 51,15 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,15) = 3

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

GCF(51,15) x common factors =3 x 1 = 3

LCM(51,15) = ( 51 × 15 ) / 3

LCM(51,15) = 765 / 3

LCM(51,15) = 255


Lets's calculate GCF of 608,209

19 608, 209
32, 11

∴ So the GCF of the given numbers is 19 = 19

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 255/19

Therefore the LCM of Fractions 51/608,15/209 is 255/19

Greatest Common Factor of 608,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 608,209 By Matching Biggest Common Factor Method

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 209

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

1,11,19,209

Greatest Common Factor

We found the factors 608,209 . The biggest common factor number is the GCF number.
So the greatest common factor 608,209 is 19.


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 51/608, 15/209

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 51/608, 15/209?

Answer: LCM of Numerators as per given numbers 51/608, 15/209 is

LCM of Numerators i.e. for 51,15 is 255

GCF of denominators i.e. for 608,209 is 19.

Thus, LCM of Fractions is 255/19.Finally, LCM of Fractions for 51/608, 15/209 is 255/19.