LCM of 9, 36 and 48 is equal to 144. The comprehensive work provides more insight of how to find what is the lcm of 9, 36 and 48 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, 36 and 48?
lcm (9 36 48) = (?)
9 => 3 x 3
36 => 2 x 2 x 3 x 3
48 => 2 x 2 x 2 x 2 x 3
= 2 x 2 x 3 x 3 x 2 x 2
= 144
lcm (9, 36 and 48) = 144
144 is the lcm of 9, 36 and 48.
where,
9 is a positive integer,
36 is a positive integer,
144 is the lcm of 9, 36 and 48,
{2, 2, 3, 3} in {3 x 3, 2 x 2 x 3 x 3, 2 x 2 x 2 x 2 x 3} are the most repeated factors of 9, 36 and 48,
{2, 2} in {3 x 3, 2 x 2 x 3 x 3, 2 x 2 x 2 x 2 x 3} are the the other remaining factors of 9, 36 and 48.
Use in Mathematics: LCM of 9, 36 and 48
The below are some of the mathematical applications where lcm of 9, 36 and 48 can be used:
The below solved example with step by step work shows how to find what is the lcm of 9, 36 and 48 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 9, 36 and 48?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 9
B = 36
C = 48
What to be found:
find the lcm of 9, 36 and 48
step 2 Find the prime factors of 9, 36 and 48:
Prime factors of 9 = 3 x 3
Prime factors of 36 = 2 x 2 x 3 x 3
Prime factors of 48 = 2 x 2 x 2 x 2 x 3
step 3 Identify the repeated and non-repeated prime factors of 9, 36 and 48:
{2, 2, 3, 3} are the most repeated factors and {2, 2} are the non-repeated factors of 9, 36 and 48.
step 4 Find the product of repeated and non-repeated prime factors of 9, 36 and 48:
= 2 x 2 x 3 x 3 x 2 x 2
= 144
lcm(20 and 30) = 144
Hence,
lcm of 9, 36 and 48 is 144
2 | 9 | 36 | 48 |
2 | 9 | 18 | 24 |
2 | 9 | 9 | 12 |
2 | 9 | 9 | 6 |
3 | 9 | 9 | 3 |
3 | 3 | 3 | 1 |
1 | 1 | 1 |