Least Common Multiple of 38/216, 66/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/216, 66/432 quickly i.e. 1254/216 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/216, 66/432 is 1254/216.

LCM(38/216, 66/432) = 1254/216

LCM of 38/216, 66/432

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 38/216,66/432

Given numbers are 38/216,66/432

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 38,66

Least Common Multiple of Numerators i.e. LCM of 38,66 is 1254.

GCF of Denominators means GCF of 216,432 as per the given fractions.

GCF of 216,432 is 216 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,66

LCM of Fractions 38/216,66/432 is 1254/216

2 38, 66
19, 33

∴ So the LCM of the given numbers is 2 x 19 x 33 = 1254

Least Common Multiple of 38,66 with GCF Formula

Least Common Multiple of 38,66 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 38,66 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,66) = 2

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

GCF(38,66) x common factors =2 x 1 = 2

LCM(38,66) = ( 38 × 66 ) / 2

LCM(38,66) = 2508 / 2

LCM(38,66) = 1254


Lets's calculate GCF of 216,432

2 216, 432
2 108, 216
2 54, 108
3 27, 54
3 9, 18
3 3, 6
1, 2

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 x 3 x 3 = 216

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1254/216

Therefore the LCM of Fractions 38/216,66/432 is 1254/216

Greatest Common Factor of 216,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 216,432 By Matching Biggest Common Factor Method

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

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

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 216,432 . The biggest common factor number is the GCF number.
So the greatest common factor 216,432 is 216.


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 38/216, 66/432

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 38/216, 66/432?

Answer: LCM of Numerators as per given numbers 38/216, 66/432 is

LCM of Numerators i.e. for 38,66 is 1254

GCF of denominators i.e. for 216,432 is 216.

Thus, LCM of Fractions is 1254/216.Finally, LCM of Fractions for 38/216, 66/432 is 1254/216.