LCM of 5, 8 and 10 is equal to 40. The comprehensive work provides more insight of how to find what is the lcm of 5, 8 and 10 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, 8 and 10?
lcm (5 8 10) = (?)
5 => 5
8 => 2 x 2 x 2
10 => 2 x 5
= 2 x 5 x 2 x 2
= 40
lcm (5, 8 and 10) = 40
40 is the lcm of 5, 8 and 10.
where,
5 is a positive integer,
8 is a positive integer,
40 is the lcm of 5, 8 and 10,
{2, 5} in {5, 2 x 2 x 2, 2 x 5} are the most repeated factors of 5, 8 and 10,
{2, 2} in {5, 2 x 2 x 2, 2 x 5} are the the other remaining factors of 5, 8 and 10.
Use in Mathematics: LCM of 5, 8 and 10
The below are some of the mathematical applications where lcm of 5, 8 and 10 can be used:
The below solved example with step by step work shows how to find what is the lcm of 5, 8 and 10 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 5, 8 and 10?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 5
B = 8
C = 10
What to be found:
find the lcm of 5, 8 and 10
step 2 Find the prime factors of 5, 8 and 10:
Prime factors of 5 = 5
Prime factors of 8 = 2 x 2 x 2
Prime factors of 10 = 2 x 5
step 3 Identify the repeated and non-repeated prime factors of 5, 8 and 10:
{2, 5} are the most repeated factors and {2, 2} are the non-repeated factors of 5, 8 and 10.
step 4 Find the product of repeated and non-repeated prime factors of 5, 8 and 10:
= 2 x 5 x 2 x 2
= 40
lcm(20 and 30) = 40
Hence,
lcm of 5, 8 and 10 is 40
2 | 5 | 8 | 10 |
2 | 5 | 4 | 5 |
2 | 5 | 2 | 5 |
5 | 5 | 1 | 5 |
1 | 1 | 1 |