Least Common Multiple of 16/784, 9341/7228

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 16/784, 9341/7228 quickly i.e. 37364 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 16/784, 9341/7228 is 37364.

LCM(16/784, 9341/7228) = 37364

LCM of 16/784, 9341/7228

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 16/784,9341/7228

Given numbers are 16/784,9341/7228

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 16,9341

Least Common Multiple of Numerators i.e. LCM of 16,9341 is 149456.

GCF of Denominators means GCF of 784,7228 as per the given fractions.

GCF of 784,7228 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 16,9341

LCM of Fractions 16/784,9341/7228 is 37364

Given numbers has no common factors except 1. So, there LCM is their product i.e 149456

Least Common Multiple of 16,9341 with GCF Formula

Least Common Multiple of 16,9341 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 16,9341 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,9341) = 1

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

GCF(16,9341) x common factors =1 x 1 = 1

LCM(16,9341) = ( 16 × 9341 ) / 1

LCM(16,9341) = 149456 / 1

LCM(16,9341) = 149456


Lets's calculate GCF of 784,7228

2 784, 7228
2 392, 3614
196, 1807

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149456/4

Therefore the LCM of Fractions 16/784,9341/7228 is 37364

Greatest Common Factor of 784,7228 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,7228 By Matching Biggest Common Factor Method

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Factors of 7228

List of positive integer factors of 7228 that divides 7228 without a remainder.

1,2,4,13,26,52,139,278,556,1807,3614,7228

Greatest Common Factor

We found the factors 784,7228 . The biggest common factor number is the GCF number.
So the greatest common factor 784,7228 is 4.


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 16/784, 9341/7228

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 16/784, 9341/7228?

Answer: LCM of Numerators as per given numbers 16/784, 9341/7228 is

LCM of Numerators i.e. for 16,9341 is 149456

GCF of denominators i.e. for 784,7228 is 4.

Thus, LCM of Fractions is 37364.Finally, LCM of Fractions for 16/784, 9341/7228 is 37364.