LCM of 12, 18 and 24 is equal to 72. The comprehensive work provides more insight of how to find what is the lcm of 12, 18 and 24 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 12, 18 and 24?
lcm (12 18 24) = (?)
12 => 2 x 2 x 3
18 => 2 x 3 x 3
24 => 2 x 2 x 2 x 3
= 2 x 2 x 3 x 3 x 2
= 72
lcm (12, 18 and 24) = 72
72 is the lcm of 12, 18 and 24.
where,
12 is a positive integer,
18 is a positive integer,
72 is the lcm of 12, 18 and 24,
{2, 2, 3} in {2 x 2 x 3, 2 x 3 x 3, 2 x 2 x 2 x 3} are the most repeated factors of 12, 18 and 24,
{3, 2} in {2 x 2 x 3, 2 x 3 x 3, 2 x 2 x 2 x 3} are the the other remaining factors of 12, 18 and 24.
Use in Mathematics: LCM of 12, 18 and 24
The below are some of the mathematical applications where lcm of 12, 18 and 24 can be used:
The below solved example with step by step work shows how to find what is the lcm of 12, 18 and 24 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 12, 18 and 24?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 12
B = 18
C = 24
What to be found:
find the lcm of 12, 18 and 24
step 2 Find the prime factors of 12, 18 and 24:
Prime factors of 12 = 2 x 2 x 3
Prime factors of 18 = 2 x 3 x 3
Prime factors of 24 = 2 x 2 x 2 x 3
step 3 Identify the repeated and non-repeated prime factors of 12, 18 and 24:
{2, 2, 3} are the most repeated factors and {3, 2} are the non-repeated factors of 12, 18 and 24.
step 4 Find the product of repeated and non-repeated prime factors of 12, 18 and 24:
= 2 x 2 x 3 x 3 x 2
= 72
lcm(20 and 30) = 72
Hence,
lcm of 12, 18 and 24 is 72
2 | 12 | 18 | 24 |
2 | 6 | 9 | 12 |
2 | 3 | 9 | 6 |
3 | 3 | 9 | 3 |
3 | 1 | 3 | 1 |
1 | 1 | 1 |