Least Common Multiple of 549/37, 216/5568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 549/37, 216/5568 quickly i.e. 13176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 549/37, 216/5568 is 13176.

LCM(549/37, 216/5568) = 13176

LCM of 549/37, 216/5568

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 549/37,216/5568

Given numbers are 549/37,216/5568

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 549,216

Least Common Multiple of Numerators i.e. LCM of 549,216 is 13176.

GCF of Denominators means GCF of 37,5568 as per the given fractions.

GCF of 37,5568 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 549,216

LCM of Fractions 549/37,216/5568 is 13176

3 549, 216
3 183, 72
61, 24

∴ So the LCM of the given numbers is 3 x 3 x 61 x 24 = 13176

Least Common Multiple of 549,216 with GCF Formula

Least Common Multiple of 549,216 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 549,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(549,216) = 9

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

GCF(549,216) x common factors =9 x 1 = 9

LCM(549,216) = ( 549 × 216 ) / 9

LCM(549,216) = 118584 / 9

LCM(549,216) = 13176


Lets's calculate GCF of 37,5568

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13176/1

Therefore the LCM of Fractions 549/37,216/5568 is 13176

Greatest Common Factor of 37,5568 By Matching Biggest Common Factor Method

Greatest Common Factor of 37,5568 By Matching Biggest Common Factor Method

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 5568

List of positive integer factors of 5568 that divides 5568 without a remainder.

1,2,3,4,6,8,12,16,24,29,32,48,58,64,87,96,116,174,192,232,348,464,696,928,1392,1856,2784,5568

Greatest Common Factor

We found the factors 37,5568 . The biggest common factor number is the GCF number.
So the greatest common factor 37,5568 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 549/37, 216/5568

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 549/37, 216/5568?

Answer: LCM of Numerators as per given numbers 549/37, 216/5568 is

LCM of Numerators i.e. for 549,216 is 13176

GCF of denominators i.e. for 37,5568 is 1.

Thus, LCM of Fractions is 13176.Finally, LCM of Fractions for 549/37, 216/5568 is 13176.