Least Common Multiple of 567/12, 216/5341

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 567/12, 216/5341 quickly i.e. 4536 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 567/12, 216/5341 is 4536.

LCM(567/12, 216/5341) = 4536

LCM of 567/12, 216/5341

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 567/12,216/5341

Given numbers are 567/12,216/5341

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 567,216

Least Common Multiple of Numerators i.e. LCM of 567,216 is 4536.

GCF of Denominators means GCF of 12,5341 as per the given fractions.

GCF of 12,5341 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 567,216

LCM of Fractions 567/12,216/5341 is 4536

3 567, 216
3 189, 72
3 63, 24
21, 8

∴ So the LCM of the given numbers is 3 x 3 x 3 x 21 x 8 = 4536

Least Common Multiple of 567,216 with GCF Formula

Least Common Multiple of 567,216 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 567,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,216) = 27

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

GCF(567,216) x common factors =27 x 1 = 27

LCM(567,216) = ( 567 × 216 ) / 27

LCM(567,216) = 122472 / 27

LCM(567,216) = 4536


Lets's calculate GCF of 12,5341

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4536/1

Therefore the LCM of Fractions 567/12,216/5341 is 4536

Greatest Common Factor of 12,5341 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,5341 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 5341

List of positive integer factors of 5341 that divides 5341 without a remainder.

1,7,49,109,763,5341

Greatest Common Factor

We found the factors 12,5341 . The biggest common factor number is the GCF number.
So the greatest common factor 12,5341 is 1.


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 567/12, 216/5341

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 567/12, 216/5341?

Answer: LCM of Numerators as per given numbers 567/12, 216/5341 is

LCM of Numerators i.e. for 567,216 is 4536

GCF of denominators i.e. for 12,5341 is 1.

Thus, LCM of Fractions is 4536.Finally, LCM of Fractions for 567/12, 216/5341 is 4536.