LCM of 8, 9 and 36 is equal to 72. The comprehensive work provides more insight of how to find what is the lcm of 8, 9 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 8, 9 and 36?
lcm (8 9 36) = (?)
8 => 2 x 2 x 2
9 => 3 x 3
36 => 2 x 2 x 3 x 3
= 2 x 2 x 3 x 3 x 2
= 72
lcm (8, 9 and 36) = 72
72 is the lcm of 8, 9 and 36.
where,
8 is a positive integer,
9 is a positive integer,
72 is the lcm of 8, 9 and 36,
{2, 2, 3, 3} in {2 x 2 x 2, 3 x 3, 2 x 2 x 3 x 3} are the most repeated factors of 8, 9 and 36,
{2} in {2 x 2 x 2, 3 x 3, 2 x 2 x 3 x 3} is the other remaining factors of 8, 9 and 36.
Use in Mathematics: LCM of 8, 9 and 36
The below are some of the mathematical applications where lcm of 8, 9 and 36 can be used:
The below solved example with step by step work shows how to find what is the lcm of 8, 9 and 36 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 8, 9 and 36?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 8
B = 9
C = 36
What to be found:
find the lcm of 8, 9 and 36
step 2 Find the prime factors of 8, 9 and 36:
Prime factors of 8 = 2 x 2 x 2
Prime factors of 9 = 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 8, 9 and 36:
{2, 2, 3, 3} are the most repeated factors and {2} is the non-repeated factors of 8, 9 and 36.
step 4 Find the product of repeated and non-repeated prime factors of 8, 9 and 36:
= 2 x 2 x 3 x 3 x 2
= 72
lcm(20 and 30) = 72
Hence,
lcm of 8, 9 and 36 is 72
2 | 8 | 9 | 36 |
2 | 4 | 9 | 18 |
2 | 2 | 9 | 9 |
3 | 1 | 9 | 9 |
3 | 1 | 3 | 3 |
1 | 1 | 1 |