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