LCM of 9, 15 and 45 is equal to 45. The comprehensive work provides more insight of how to find what is the lcm of 9, 15 and 45 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 9, 15 and 45?
lcm (9 15 45) = (?)
9 => 3 x 3
15 => 3 x 5
45 => 3 x 3 x 5
= 3 x 3 x 5
= 45
lcm (9, 15 and 45) = 45
45 is the lcm of 9, 15 and 45.
where,
9 is a positive integer,
15 is a positive integer,
45 is the lcm of 9, 15 and 45,
{3, 3, 5} in {3 x 3, 3 x 5, 3 x 3 x 5} are the most repeated factors of 9, 15 and 45,
There is no non-repeated factors of 9, 15 and 45 in {3 x 3, 3 x 5, 3 x 3 x 5}.
Use in Mathematics: LCM of 9, 15 and 45
The below are some of the mathematical applications where lcm of 9, 15 and 45 can be used:
The below solved example with step by step work shows how to find what is the lcm of 9, 15 and 45 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 9, 15 and 45?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 9
B = 15
C = 45
What to be found:
find the lcm of 9, 15 and 45
step 2 Find the prime factors of 9, 15 and 45:
Prime factors of 9 = 3 x 3
Prime factors of 15 = 3 x 5
Prime factors of 45 = 3 x 3 x 5
step 3 Identify the repeated and non-repeated prime factors of 9, 15 and 45:
{3, 3, 5} are the most repeated factors and there is no non-repeated factors of 9, 15 and 45.
step 4 Find the product of repeated and non-repeated prime factors of 9, 15 and 45:
= 3 x 3 x 5
= 45
lcm(20 and 30) = 45
Hence,
lcm of 9, 15 and 45 is 45
3 | 9 | 15 | 45 |
3 | 3 | 5 | 15 |
5 | 1 | 5 | 5 |
1 | 1 | 1 |