LCM of 8 and 32 is equal to 32. The comprehensive work provides more insight of how to find what is the lcm of 8 and 32 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 and 32?
lcm (8 32) = (?)
8 => 2 x 2 x 2
32 => 2 x 2 x 2 x 2 x 2
= 2 x 2 x 2 x 2 x 2
= 32
lcm (8 and 32) = 32
32 is the lcm of 8 and 32.
where,
8 is a positive integer,
32 is a positive integer,
32 is the lcm of 8 and 32,
{2 x 2 x 2} in {2 x 2 x 2, 2 x 2 x 2 x 2 x 2} are the common factors of 8 and 32,
{2 x 2} in {2 x 2 x 2, 2 x 2 x 2 x 2 x 2} are the uncommon factors of 8 and 32.
Use in Mathematics: LCM of 8 and 32
The below are some of the mathematical applications where lcm of 8 and 32 can be used:
The below solved example with step by step work shows how to find what is the lcm of 8 and 32 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 8 and 32?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 8
B = 32
What to be found:
find the lcm of 8 and 32
step 2 Find the prime factors of 8 and 32:
Prime factors of 8 = 2 x 2 x 2
Prime factors of 32 = 2 x 2 x 2 x 2 x 2
step 3 Identify the repeated and non-repeated prime factors of 8 and 32:
{2, 2, 2} are the most repeated factors and {2 x 2} are the non-repeated factors of 8 and 32.
step 4 Find the product of repeated and non-repeated prime factors of 8 and 32:
= 2 x 2 x 2 x 2 x 2
= 32
lcm(8 and 32) = 32
Hence,
lcm of 8 and 32 is 32
2 | 8 | 32 |
2 | 4 | 16 |
2 | 2 | 8 |
2 | 1 | 4 |
2 | 1 | 2 |
1 | 1 |