Least Common Multiple of 516/90, 225/8864

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 516/90, 225/8864 quickly i.e. 19350 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 516/90, 225/8864 is 19350.

LCM(516/90, 225/8864) = 19350

LCM of 516/90, 225/8864

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 516/90,225/8864

Given numbers are 516/90,225/8864

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 516,225

Least Common Multiple of Numerators i.e. LCM of 516,225 is 38700.

GCF of Denominators means GCF of 90,8864 as per the given fractions.

GCF of 90,8864 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 516,225

LCM of Fractions 516/90,225/8864 is 19350

3 516, 225
172, 75

∴ So the LCM of the given numbers is 3 x 172 x 75 = 38700

Least Common Multiple of 516,225 with GCF Formula

Least Common Multiple of 516,225 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 516,225 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(516,225) = 3

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

GCF(516,225) x common factors =3 x 1 = 3

LCM(516,225) = ( 516 × 225 ) / 3

LCM(516,225) = 116100 / 3

LCM(516,225) = 38700


Lets's calculate GCF of 90,8864

2 90, 8864
45, 4432

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38700/2

Therefore the LCM of Fractions 516/90,225/8864 is 19350

Greatest Common Factor of 90,8864 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,8864 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 8864

List of positive integer factors of 8864 that divides 8864 without a remainder.

1,2,4,8,16,32,277,554,1108,2216,4432,8864

Greatest Common Factor

We found the factors 90,8864 . The biggest common factor number is the GCF number.
So the greatest common factor 90,8864 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 516/90, 225/8864

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 516/90, 225/8864?

Answer: LCM of Numerators as per given numbers 516/90, 225/8864 is

LCM of Numerators i.e. for 516,225 is 38700

GCF of denominators i.e. for 90,8864 is 2.

Thus, LCM of Fractions is 19350.Finally, LCM of Fractions for 516/90, 225/8864 is 19350.