Least Common Multiple of 8284/566, 5350/496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8284/566, 5350/496 quickly i.e. 11079850 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8284/566, 5350/496 is 11079850.

LCM(8284/566, 5350/496) = 11079850

LCM of 8284/566, 5350/496

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 8284/566,5350/496

Given numbers are 8284/566,5350/496

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 8284,5350

Least Common Multiple of Numerators i.e. LCM of 8284,5350 is 22159700.

GCF of Denominators means GCF of 566,496 as per the given fractions.

GCF of 566,496 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8284,5350

LCM of Fractions 8284/566,5350/496 is 11079850

2 8284, 5350
4142, 2675

∴ So the LCM of the given numbers is 2 x 4142 x 2675 = 22159700

Least Common Multiple of 8284,5350 with GCF Formula

Least Common Multiple of 8284,5350 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 8284,5350 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8284,5350) = 2

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

GCF(8284,5350) x common factors =2 x 1 = 2

LCM(8284,5350) = ( 8284 × 5350 ) / 2

LCM(8284,5350) = 44319400 / 2

LCM(8284,5350) = 22159700


Lets's calculate GCF of 566,496

2 566, 496
283, 248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22159700/2

Therefore the LCM of Fractions 8284/566,5350/496 is 11079850

Greatest Common Factor of 566,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 566,496 By Matching Biggest Common Factor Method

Factors of 566

List of positive integer factors of 566 that divides 566 without a remainder.

1,2,283,566

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 566,496 . The biggest common factor number is the GCF number.
So the greatest common factor 566,496 is 2.


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 8284/566, 5350/496

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 8284/566, 5350/496?

Answer: LCM of Numerators as per given numbers 8284/566, 5350/496 is

LCM of Numerators i.e. for 8284,5350 is 22159700

GCF of denominators i.e. for 566,496 is 2.

Thus, LCM of Fractions is 11079850.Finally, LCM of Fractions for 8284/566, 5350/496 is 11079850.