LCM of 8 and 28 is equal to 56. The comprehensive work provides more insight of how to find what is the lcm of 8 and 28 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 28?
lcm (8 28) = (?)
8 => 2 x 2 x 2
28 => 2 x 2 x 7
= 2 x 2 x 2 x 7
= 56
lcm (8 and 28) = 56
56 is the lcm of 8 and 28.
where,
8 is a positive integer,
28 is a positive integer,
56 is the lcm of 8 and 28,
{2 x 2} in {2 x 2 x 2, 2 x 2 x 7} are the common factors of 8 and 28,
{2 x 7} in {2 x 2 x 2, 2 x 2 x 7} are the uncommon factors of 8 and 28.
Use in Mathematics: LCM of 8 and 28
The below are some of the mathematical applications where lcm of 8 and 28 can be used:
The below solved example with step by step work shows how to find what is the lcm of 8 and 28 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 8 and 28?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 8
B = 28
What to be found:
find the lcm of 8 and 28
step 2 Find the prime factors of 8 and 28:
Prime factors of 8 = 2 x 2 x 2
Prime factors of 28 = 2 x 2 x 7
step 3 Identify the repeated and non-repeated prime factors of 8 and 28:
{2, 2} are the most repeated factors and {2 x 7} are the non-repeated factors of 8 and 28.
step 4 Find the product of repeated and non-repeated prime factors of 8 and 28:
= 2 x 2 x 2 x 7
= 56
lcm(8 and 28) = 56
Hence,
lcm of 8 and 28 is 56
2 | 8 | 28 |
2 | 4 | 14 |
2 | 2 | 7 |
7 | 1 | 7 |
1 | 1 |