LCM of 5 and 8 is equal to 40. The comprehensive work provides more insight of how to find what is the lcm of 5 and 8 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 5 and 8?
lcm (5 8) = (?)
5 => 5
8 => 2 x 2 x 2
= 5 x 2 x 2 x 2
= 40
lcm (5 and 8) = 40
40 is the lcm of 5 and 8.
where,
5 is a positive integer,
8 is a positive integer,
40 is the lcm of 5 and 8,
There is no common factors of 5 and 8 in {5, 2 x 2 x 2},
{5 x 2 x 2 x 2} in {5, 2 x 2 x 2} are the uncommon factors of 5 and 8.
Use in Mathematics: LCM of 5 and 8
The below are some of the mathematical applications where lcm of 5 and 8 can be used:
The below solved example with step by step work shows how to find what is the lcm of 5 and 8 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 5 and 8?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 5
B = 8
What to be found:
find the lcm of 5 and 8
step 2 Find the prime factors of 5 and 8:
Prime factors of 5 = 5
Prime factors of 8 = 2 x 2 x 2
step 3Identify the repeated and non-repeated prime factors of 5 and 8:
Since there is no common factors between 5 and 8, multiplying the given numbers directly provides the LCM of
5 and 8.
= 5 x 8
= 40
lcm(5 and 8) = 40
Hence,
lcm of 5 and 8 is 40
2 | 5 | 8 |
2 | 5 | 4 |
2 | 5 | 2 |
5 | 5 | 1 |
1 | 1 |