LCM of 18, 27 and 36 is equal to 108. The comprehensive work provides more insight of how to find what is the lcm of 18, 27 and 36 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 18, 27 and 36?
lcm (18 27 36) = (?)
18 => 2 x 3 x 3
27 => 3 x 3 x 3
36 => 2 x 2 x 3 x 3
= 2 x 3 x 3 x 3 x 2
= 108
lcm (18, 27 and 36) = 108
108 is the lcm of 18, 27 and 36.
where,
18 is a positive integer,
27 is a positive integer,
108 is the lcm of 18, 27 and 36,
{2, 3, 3} in {2 x 3 x 3, 3 x 3 x 3, 2 x 2 x 3 x 3} are the most repeated factors of 18, 27 and 36,
{3, 2} in {2 x 3 x 3, 3 x 3 x 3, 2 x 2 x 3 x 3} are the the other remaining factors of 18, 27 and 36.
Use in Mathematics: LCM of 18, 27 and 36
The below are some of the mathematical applications where lcm of 18, 27 and 36 can be used:
The below solved example with step by step work shows how to find what is the lcm of 18, 27 and 36 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 18, 27 and 36?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 18
B = 27
C = 36
What to be found:
find the lcm of 18, 27 and 36
step 2 Find the prime factors of 18, 27 and 36:
Prime factors of 18 = 2 x 3 x 3
Prime factors of 27 = 3 x 3 x 3
Prime factors of 36 = 2 x 2 x 3 x 3
step 3 Identify the repeated and non-repeated prime factors of 18, 27 and 36:
{2, 3, 3} are the most repeated factors and {3, 2} are the non-repeated factors of 18, 27 and 36.
step 4 Find the product of repeated and non-repeated prime factors of 18, 27 and 36:
= 2 x 3 x 3 x 3 x 2
= 108
lcm(20 and 30) = 108
Hence,
lcm of 18, 27 and 36 is 108
2 | 18 | 27 | 36 |
2 | 9 | 27 | 18 |
3 | 9 | 27 | 9 |
3 | 3 | 9 | 3 |
3 | 1 | 3 | 1 |
1 | 1 | 1 |