LCM of 27, 36 and 81 is equal to 324. The comprehensive work provides more insight of how to find what is the lcm of 27, 36 and 81 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 27, 36 and 81?
lcm (27 36 81) = (?)
27 => 3 x 3 x 3
36 => 2 x 2 x 3 x 3
81 => 3 x 3 x 3 x 3
= 3 x 3 x 3 x 2 x 2 x 3
= 324
lcm (27, 36 and 81) = 324
324 is the lcm of 27, 36 and 81.
where,
27 is a positive integer,
36 is a positive integer,
324 is the lcm of 27, 36 and 81,
{3, 3, 3} in {3 x 3 x 3, 2 x 2 x 3 x 3, 3 x 3 x 3 x 3} are the most repeated factors of 27, 36 and 81,
{2, 2, 3} in {3 x 3 x 3, 2 x 2 x 3 x 3, 3 x 3 x 3 x 3} are the the other remaining factors of 27, 36 and 81.
Use in Mathematics: LCM of 27, 36 and 81
The below are some of the mathematical applications where lcm of 27, 36 and 81 can be used:
The below solved example with step by step work shows how to find what is the lcm of 27, 36 and 81 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 27, 36 and 81?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 27
B = 36
C = 81
What to be found:
find the lcm of 27, 36 and 81
step 2 Find the prime factors of 27, 36 and 81:
Prime factors of 27 = 3 x 3 x 3
Prime factors of 36 = 2 x 2 x 3 x 3
Prime factors of 81 = 3 x 3 x 3 x 3
step 3 Identify the repeated and non-repeated prime factors of 27, 36 and 81:
{3, 3, 3} are the most repeated factors and {2, 2, 3} are the non-repeated factors of 27, 36 and 81.
step 4 Find the product of repeated and non-repeated prime factors of 27, 36 and 81:
= 3 x 3 x 3 x 2 x 2 x 3
= 324
lcm(20 and 30) = 324
Hence,
lcm of 27, 36 and 81 is 324
2 | 27 | 36 | 81 |
2 | 27 | 18 | 81 |
3 | 27 | 9 | 81 |
3 | 9 | 3 | 27 |
3 | 3 | 1 | 9 |
3 | 1 | 1 | 3 |
1 | 1 | 1 |