LCM of 6, 8 and 12 is equal to 24. The comprehensive work provides more insight of how to find what is the lcm of 6, 8 and 12 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 6, 8 and 12?
lcm (6 8 12) = (?)
6 => 2 x 3
8 => 2 x 2 x 2
12 => 2 x 2 x 3
= 2 x 2 x 3 x 2
= 24
lcm (6, 8 and 12) = 24
24 is the lcm of 6, 8 and 12.
where,
6 is a positive integer,
8 is a positive integer,
24 is the lcm of 6, 8 and 12,
{2, 2, 3} in {2 x 3, 2 x 2 x 2, 2 x 2 x 3} are the most repeated factors of 6, 8 and 12,
{2} in {2 x 3, 2 x 2 x 2, 2 x 2 x 3} is the other remaining factors of 6, 8 and 12.
Use in Mathematics: LCM of 6, 8 and 12
The below are some of the mathematical applications where lcm of 6, 8 and 12 can be used:
The below solved example with step by step work shows how to find what is the lcm of 6, 8 and 12 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 6, 8 and 12?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 6
B = 8
C = 12
What to be found:
find the lcm of 6, 8 and 12
step 2 Find the prime factors of 6, 8 and 12:
Prime factors of 6 = 2 x 3
Prime factors of 8 = 2 x 2 x 2
Prime factors of 12 = 2 x 2 x 3
step 3 Identify the repeated and non-repeated prime factors of 6, 8 and 12:
{2, 2, 3} are the most repeated factors and {2} is the non-repeated factors of 6, 8 and 12.
step 4 Find the product of repeated and non-repeated prime factors of 6, 8 and 12:
= 2 x 2 x 3 x 2
= 24
lcm(20 and 30) = 24
Hence,
lcm of 6, 8 and 12 is 24
2 | 6 | 8 | 12 |
2 | 3 | 4 | 6 |
2 | 3 | 2 | 3 |
3 | 3 | 1 | 3 |
1 | 1 | 1 |