Least Common Multiple of 5750/784, 9363/9491

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5750/784, 9363/9491 quickly i.e. 53837250 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5750/784, 9363/9491 is 53837250.

LCM(5750/784, 9363/9491) = 53837250

LCM of 5750/784, 9363/9491

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 5750/784,9363/9491

Given numbers are 5750/784,9363/9491

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 5750,9363

Least Common Multiple of Numerators i.e. LCM of 5750,9363 is 53837250.

GCF of Denominators means GCF of 784,9491 as per the given fractions.

GCF of 784,9491 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5750,9363

LCM of Fractions 5750/784,9363/9491 is 53837250

Given numbers has no common factors except 1. So, there LCM is their product i.e 53837250

Least Common Multiple of 5750,9363 with GCF Formula

Least Common Multiple of 5750,9363 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 5750,9363 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5750,9363) = 1

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

GCF(5750,9363) x common factors =1 x 1 = 1

LCM(5750,9363) = ( 5750 × 9363 ) / 1

LCM(5750,9363) = 53837250 / 1

LCM(5750,9363) = 53837250


Lets's calculate GCF of 784,9491

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 53837250/1

Therefore the LCM of Fractions 5750/784,9363/9491 is 53837250

Greatest Common Factor of 784,9491 By Matching Biggest Common Factor Method

Greatest Common Factor of 784,9491 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 9491

List of positive integer factors of 9491 that divides 9491 without a remainder.

1,9491

Greatest Common Factor

We found the factors 784,9491 . The biggest common factor number is the GCF number.
So the greatest common factor 784,9491 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 5750/784, 9363/9491

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 5750/784, 9363/9491?

Answer: LCM of Numerators as per given numbers 5750/784, 9363/9491 is

LCM of Numerators i.e. for 5750,9363 is 53837250

GCF of denominators i.e. for 784,9491 is 1.

Thus, LCM of Fractions is 53837250.Finally, LCM of Fractions for 5750/784, 9363/9491 is 53837250.