Least Common Multiple of 8094/49, 2416/330

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8094/49, 2416/330 quickly i.e. 9777552 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8094/49, 2416/330 is 9777552.

LCM(8094/49, 2416/330) = 9777552

LCM of 8094/49, 2416/330

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 8094/49,2416/330

Given numbers are 8094/49,2416/330

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 8094,2416

Least Common Multiple of Numerators i.e. LCM of 8094,2416 is 9777552.

GCF of Denominators means GCF of 49,330 as per the given fractions.

GCF of 49,330 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8094,2416

LCM of Fractions 8094/49,2416/330 is 9777552

2 8094, 2416
4047, 1208

∴ So the LCM of the given numbers is 2 x 4047 x 1208 = 9777552

Least Common Multiple of 8094,2416 with GCF Formula

Least Common Multiple of 8094,2416 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 8094,2416 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8094,2416) = 2

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

GCF(8094,2416) x common factors =2 x 1 = 2

LCM(8094,2416) = ( 8094 × 2416 ) / 2

LCM(8094,2416) = 19555104 / 2

LCM(8094,2416) = 9777552


Lets's calculate GCF of 49,330

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9777552/1

Therefore the LCM of Fractions 8094/49,2416/330 is 9777552

Greatest Common Factor of 49,330 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,330 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Greatest Common Factor

We found the factors 49,330 . The biggest common factor number is the GCF number.
So the greatest common factor 49,330 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 8094/49, 2416/330

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 8094/49, 2416/330?

Answer: LCM of Numerators as per given numbers 8094/49, 2416/330 is

LCM of Numerators i.e. for 8094,2416 is 9777552

GCF of denominators i.e. for 49,330 is 1.

Thus, LCM of Fractions is 9777552.Finally, LCM of Fractions for 8094/49, 2416/330 is 9777552.