Least Common Multiple of 216/534, 867/832

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 216/534, 867/832 quickly i.e. 31212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 216/534, 867/832 is 31212.

LCM(216/534, 867/832) = 31212

LCM of 216/534, 867/832

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 216/534,867/832

Given numbers are 216/534,867/832

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 216,867

Least Common Multiple of Numerators i.e. LCM of 216,867 is 62424.

GCF of Denominators means GCF of 534,832 as per the given fractions.

GCF of 534,832 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 216,867

LCM of Fractions 216/534,867/832 is 31212

3 216, 867
72, 289

∴ So the LCM of the given numbers is 3 x 72 x 289 = 62424

Least Common Multiple of 216,867 with GCF Formula

Least Common Multiple of 216,867 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 216,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,867) = 3

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

GCF(216,867) x common factors =3 x 1 = 3

LCM(216,867) = ( 216 × 867 ) / 3

LCM(216,867) = 187272 / 3

LCM(216,867) = 62424


Lets's calculate GCF of 534,832

2 534, 832
267, 416

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 62424/2

Therefore the LCM of Fractions 216/534,867/832 is 31212

Greatest Common Factor of 534,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 534,832 By Matching Biggest Common Factor Method

Factors of 534

List of positive integer factors of 534 that divides 534 without a remainder.

1,2,3,6,89,178,267,534

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 534,832 . The biggest common factor number is the GCF number.
So the greatest common factor 534,832 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 216/534, 867/832

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 216/534, 867/832?

Answer: LCM of Numerators as per given numbers 216/534, 867/832 is

LCM of Numerators i.e. for 216,867 is 62424

GCF of denominators i.e. for 534,832 is 2.

Thus, LCM of Fractions is 31212.Finally, LCM of Fractions for 216/534, 867/832 is 31212.