LCM of 12, 20 and 25 is equal to 300. The comprehensive work provides more insight of how to find what is the lcm of 12, 20 and 25 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, 20 and 25?
lcm (12 20 25) = (?)
12 => 2 x 2 x 3
20 => 2 x 2 x 5
25 => 5 x 5
= 2 x 2 x 5 x 3 x 5
= 300
lcm (12, 20 and 25) = 300
300 is the lcm of 12, 20 and 25.
where,
12 is a positive integer,
20 is a positive integer,
300 is the lcm of 12, 20 and 25,
{2, 2, 5} in {2 x 2 x 3, 2 x 2 x 5, 5 x 5} are the most repeated factors of 12, 20 and 25,
{3, 5} in {2 x 2 x 3, 2 x 2 x 5, 5 x 5} are the the other remaining factors of 12, 20 and 25.
Use in Mathematics: LCM of 12, 20 and 25
The below are some of the mathematical applications where lcm of 12, 20 and 25 can be used:
The below solved example with step by step work shows how to find what is the lcm of 12, 20 and 25 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 12, 20 and 25?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 12
B = 20
C = 25
What to be found:
find the lcm of 12, 20 and 25
step 2 Find the prime factors of 12, 20 and 25:
Prime factors of 12 = 2 x 2 x 3
Prime factors of 20 = 2 x 2 x 5
Prime factors of 25 = 5 x 5
step 3 Identify the repeated and non-repeated prime factors of 12, 20 and 25:
{2, 2, 5} are the most repeated factors and {3, 5} are the non-repeated factors of 12, 20 and 25.
step 4 Find the product of repeated and non-repeated prime factors of 12, 20 and 25:
= 2 x 2 x 5 x 3 x 5
= 300
lcm(20 and 30) = 300
Hence,
lcm of 12, 20 and 25 is 300
2 | 12 | 20 | 25 |
2 | 6 | 10 | 25 |
3 | 3 | 5 | 25 |
5 | 1 | 5 | 25 |
5 | 1 | 1 | 5 |
1 | 1 | 1 |