Least Common Multiple of 531/230, 6216/854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 531/230, 6216/854 quickly i.e. 550116 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 531/230, 6216/854 is 550116.

LCM(531/230, 6216/854) = 550116

LCM of 531/230, 6216/854

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 531/230,6216/854

Given numbers are 531/230,6216/854

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 531,6216

Least Common Multiple of Numerators i.e. LCM of 531,6216 is 1100232.

GCF of Denominators means GCF of 230,854 as per the given fractions.

GCF of 230,854 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 531,6216

LCM of Fractions 531/230,6216/854 is 550116

3 531, 6216
177, 2072

∴ So the LCM of the given numbers is 3 x 177 x 2072 = 1100232

Least Common Multiple of 531,6216 with GCF Formula

Least Common Multiple of 531,6216 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 531,6216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(531,6216) = 3

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

GCF(531,6216) x common factors =3 x 1 = 3

LCM(531,6216) = ( 531 × 6216 ) / 3

LCM(531,6216) = 3300696 / 3

LCM(531,6216) = 1100232


Lets's calculate GCF of 230,854

2 230, 854
115, 427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1100232/2

Therefore the LCM of Fractions 531/230,6216/854 is 550116

Greatest Common Factor of 230,854 By Matching Biggest Common Factor Method

Greatest Common Factor of 230,854 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 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Greatest Common Factor

We found the factors 230,854 . The biggest common factor number is the GCF number.
So the greatest common factor 230,854 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 531/230, 6216/854

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 531/230, 6216/854?

Answer: LCM of Numerators as per given numbers 531/230, 6216/854 is

LCM of Numerators i.e. for 531,6216 is 1100232

GCF of denominators i.e. for 230,854 is 2.

Thus, LCM of Fractions is 550116.Finally, LCM of Fractions for 531/230, 6216/854 is 550116.