Least Common Multiple of 212/230, 8316/565

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 212/230, 8316/565 quickly i.e. 440748/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 212/230, 8316/565 is 440748/5.

LCM(212/230, 8316/565) = 440748/5

LCM of 212/230, 8316/565

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 212/230,8316/565

Given numbers are 212/230,8316/565

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 212,8316

Least Common Multiple of Numerators i.e. LCM of 212,8316 is 440748.

GCF of Denominators means GCF of 230,565 as per the given fractions.

GCF of 230,565 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 212,8316

LCM of Fractions 212/230,8316/565 is 440748/5

2 212, 8316
2 106, 4158
53, 2079

∴ So the LCM of the given numbers is 2 x 2 x 53 x 2079 = 440748

Least Common Multiple of 212,8316 with GCF Formula

Least Common Multiple of 212,8316 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 212,8316 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(212,8316) = 4

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

GCF(212,8316) x common factors =4 x 1 = 4

LCM(212,8316) = ( 212 × 8316 ) / 4

LCM(212,8316) = 1762992 / 4

LCM(212,8316) = 440748


Lets's calculate GCF of 230,565

5 230, 565
46, 113

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 440748/5

Therefore the LCM of Fractions 212/230,8316/565 is 440748/5

Greatest Common Factor of 230,565 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,565 By Matching Biggest Common Factor Method

Factors of 230

List of positive integer factors of 230 that divides 230 without a remainder.

1,2,5,10,23,46,115,230

Factors of 565

List of positive integer factors of 565 that divides 565 without a remainder.

1,5,113,565

Greatest Common Factor

We found the factors 230,565 . The biggest common factor number is the GCF number.
So the greatest common factor 230,565 is 5.


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 212/230, 8316/565

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 212/230, 8316/565?

Answer: LCM of Numerators as per given numbers 212/230, 8316/565 is

LCM of Numerators i.e. for 212,8316 is 440748

GCF of denominators i.e. for 230,565 is 5.

Thus, LCM of Fractions is 440748/5.Finally, LCM of Fractions for 212/230, 8316/565 is 440748/5.