Least Common Multiple of 53/39, 14/21, 487/209

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 53/39, 14/21, 487/209 quickly i.e. 361354 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 53/39, 14/21, 487/209 is 361354.

LCM(53/39, 14/21, 487/209) = 361354

LCM of 53/39, 14/21, 487/209

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 53/39,14/21,487/209

Given numbers are 53/39,14/21,487/209

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 53,14,487

Least Common Multiple of Numerators i.e. LCM of 53,14,487 is 361354.

GCF of Denominators means GCF of 39,21,209 as per the given fractions.

GCF of 39,21,209 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 53,14,487

LCM of Fractions 53/39,14/21,487/209 is 361354

Given numbers has no common factors except 1. So, there LCM is their product i.e 361354

Least Common Multiple of 53,14,487 with GCF Formula

Least Common Multiple of 53,14,487 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 53,14,487 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,14,487) = 1

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

GCF(53,14,487) x common factors =1 x 1 = 1

LCM(53,14,487) = ( 53 × 14 × 487 ) / 1

LCM(53,14,487) = 361354 / 1

LCM(53,14,487) = 361354


Lets's calculate GCF of 39,21,209

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 361354/1

Therefore the LCM of Fractions 53/39,14/21,487/209 is 361354

Greatest Common Factor of 39,21,209 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,21,209 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

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 39,21,209 . The biggest common factor number is the GCF number.
So the greatest common factor 39,21,209 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 53/39, 14/21, 487/209

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 53/39, 14/21, 487/209?

Answer: LCM of Numerators as per given numbers 53/39, 14/21, 487/209 is

LCM of Numerators i.e. for 53,14,487 is 361354

GCF of denominators i.e. for 39,21,209 is 1.

Thus, LCM of Fractions is 361354.Finally, LCM of Fractions for 53/39, 14/21, 487/209 is 361354.