Least Common Multiple of 16/741, 3147/2409

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/741, 3147/2409 quickly i.e. 16784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/741, 3147/2409 is 16784.

LCM(16/741, 3147/2409) = 16784

LCM of 16/741, 3147/2409

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 16/741,3147/2409

Given numbers are 16/741,3147/2409

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 16,3147

Least Common Multiple of Numerators i.e. LCM of 16,3147 is 50352.

GCF of Denominators means GCF of 741,2409 as per the given fractions.

GCF of 741,2409 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,3147

LCM of Fractions 16/741,3147/2409 is 16784

Given numbers has no common factors except 1. So, there LCM is their product i.e 50352

Least Common Multiple of 16,3147 with GCF Formula

Least Common Multiple of 16,3147 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 16,3147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,3147) = 1

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

GCF(16,3147) x common factors =1 x 1 = 1

LCM(16,3147) = ( 16 × 3147 ) / 1

LCM(16,3147) = 50352 / 1

LCM(16,3147) = 50352


Lets's calculate GCF of 741,2409

3 741, 2409
247, 803

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50352/3

Therefore the LCM of Fractions 16/741,3147/2409 is 16784

Greatest Common Factor of 741,2409 By Matching Biggest Common Factor Method

Greatest Common Factor of 741,2409 By Matching Biggest Common Factor Method

Factors of 741

List of positive integer factors of 741 that divides 741 without a remainder.

1,3,13,19,39,57,247,741

Factors of 2409

List of positive integer factors of 2409 that divides 2409 without a remainder.

1,3,11,33,73,219,803,2409

Greatest Common Factor

We found the factors 741,2409 . The biggest common factor number is the GCF number.
So the greatest common factor 741,2409 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 16/741, 3147/2409

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 16/741, 3147/2409?

Answer: LCM of Numerators as per given numbers 16/741, 3147/2409 is

LCM of Numerators i.e. for 16,3147 is 50352

GCF of denominators i.e. for 741,2409 is 3.

Thus, LCM of Fractions is 16784.Finally, LCM of Fractions for 16/741, 3147/2409 is 16784.