LCM of 18, 25 and 30 is equal to 450. The comprehensive work provides more insight of how to find what is the lcm of 18, 25 and 30 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 18, 25 and 30?
lcm (18 25 30) = (?)
18 => 2 x 3 x 3
25 => 5 x 5
30 => 2 x 3 x 5
= 2 x 3 x 5 x 3 x 5
= 450
lcm (18, 25 and 30) = 450
450 is the lcm of 18, 25 and 30.
where,
18 is a positive integer,
25 is a positive integer,
450 is the lcm of 18, 25 and 30,
{2, 3, 5} in {2 x 3 x 3, 5 x 5, 2 x 3 x 5} are the most repeated factors of 18, 25 and 30,
{3, 5} in {2 x 3 x 3, 5 x 5, 2 x 3 x 5} are the the other remaining factors of 18, 25 and 30.
Use in Mathematics: LCM of 18, 25 and 30
The below are some of the mathematical applications where lcm of 18, 25 and 30 can be used:
The below solved example with step by step work shows how to find what is the lcm of 18, 25 and 30 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 18, 25 and 30?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 18
B = 25
C = 30
What to be found:
find the lcm of 18, 25 and 30
step 2 Find the prime factors of 18, 25 and 30:
Prime factors of 18 = 2 x 3 x 3
Prime factors of 25 = 5 x 5
Prime factors of 30 = 2 x 3 x 5
step 3 Identify the repeated and non-repeated prime factors of 18, 25 and 30:
{2, 3, 5} are the most repeated factors and {3, 5} are the non-repeated factors of 18, 25 and 30.
step 4 Find the product of repeated and non-repeated prime factors of 18, 25 and 30:
= 2 x 3 x 5 x 3 x 5
= 450
lcm(20 and 30) = 450
Hence,
lcm of 18, 25 and 30 is 450
2 | 18 | 25 | 30 |
3 | 9 | 25 | 15 |
3 | 3 | 25 | 5 |
5 | 1 | 25 | 5 |
5 | 1 | 5 | 1 |
1 | 1 | 1 |