Least Common Multiple of 3217/906, 5564/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3217/906, 5564/432 quickly i.e. 17899388/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3217/906, 5564/432 is 17899388/6.

LCM(3217/906, 5564/432) = 17899388/6

LCM of 3217/906, 5564/432

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 3217/906,5564/432

Given numbers are 3217/906,5564/432

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 3217,5564

Least Common Multiple of Numerators i.e. LCM of 3217,5564 is 17899388.

GCF of Denominators means GCF of 906,432 as per the given fractions.

GCF of 906,432 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3217,5564

LCM of Fractions 3217/906,5564/432 is 17899388/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 17899388

Least Common Multiple of 3217,5564 with GCF Formula

Least Common Multiple of 3217,5564 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 3217,5564 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3217,5564) = 1

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

GCF(3217,5564) x common factors =1 x 1 = 1

LCM(3217,5564) = ( 3217 × 5564 ) / 1

LCM(3217,5564) = 17899388 / 1

LCM(3217,5564) = 17899388


Lets's calculate GCF of 906,432

2 906, 432
3 453, 216
151, 72

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17899388/6

Therefore the LCM of Fractions 3217/906,5564/432 is 17899388/6

Greatest Common Factor of 906,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 906,432 By Matching Biggest Common Factor Method

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 906,432 . The biggest common factor number is the GCF number.
So the greatest common factor 906,432 is 6.


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 3217/906, 5564/432

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 3217/906, 5564/432?

Answer: LCM of Numerators as per given numbers 3217/906, 5564/432 is

LCM of Numerators i.e. for 3217,5564 is 17899388

GCF of denominators i.e. for 906,432 is 6.

Thus, LCM of Fractions is 17899388/6.Finally, LCM of Fractions for 3217/906, 5564/432 is 17899388/6.