LCM of 9, 27 and 45 is equal to 135. The comprehensive work provides more insight of how to find what is the lcm of 9, 27 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, 27 and 45?
lcm (9 27 45) = (?)
9 => 3 x 3
27 => 3 x 3 x 3
45 => 3 x 3 x 5
= 3 x 3 x 3 x 5
= 135
lcm (9, 27 and 45) = 135
135 is the lcm of 9, 27 and 45.
where,
9 is a positive integer,
27 is a positive integer,
135 is the lcm of 9, 27 and 45,
{3, 3} in {3 x 3, 3 x 3 x 3, 3 x 3 x 5} are the most repeated factors of 9, 27 and 45,
{3, 5} in {3 x 3, 3 x 3 x 3, 3 x 3 x 5} are the the other remaining factors of 9, 27 and 45.
Use in Mathematics: LCM of 9, 27 and 45
The below are some of the mathematical applications where lcm of 9, 27 and 45 can be used:
The below solved example with step by step work shows how to find what is the lcm of 9, 27 and 45 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 9, 27 and 45?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 9
B = 27
C = 45
What to be found:
find the lcm of 9, 27 and 45
step 2 Find the prime factors of 9, 27 and 45:
Prime factors of 9 = 3 x 3
Prime factors of 27 = 3 x 3 x 3
Prime factors of 45 = 3 x 3 x 5
step 3 Identify the repeated and non-repeated prime factors of 9, 27 and 45:
{3, 3} are the most repeated factors and {3, 5} are the non-repeated factors of 9, 27 and 45.
step 4 Find the product of repeated and non-repeated prime factors of 9, 27 and 45:
= 3 x 3 x 3 x 5
= 135
lcm(20 and 30) = 135
Hence,
lcm of 9, 27 and 45 is 135
3 | 9 | 27 | 45 |
3 | 3 | 9 | 15 |
3 | 1 | 3 | 5 |
5 | 1 | 1 | 5 |
1 | 1 | 1 |