LCM of 16, 24 and 48 is equal to 48. The comprehensive work provides more insight of how to find what is the lcm of 16, 24 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 16, 24 and 48?
lcm (16 24 48) = (?)
16 => 2 x 2 x 2 x 2
24 => 2 x 2 x 2 x 3
48 => 2 x 2 x 2 x 2 x 3
= 2 x 2 x 2 x 2 x 3
= 48
lcm (16, 24 and 48) = 48
48 is the lcm of 16, 24 and 48.
where,
16 is a positive integer,
24 is a positive integer,
48 is the lcm of 16, 24 and 48,
{2, 2, 2, 2, 3} in {2 x 2 x 2 x 2, 2 x 2 x 2 x 3, 2 x 2 x 2 x 2 x 3} are the most repeated factors of 16, 24 and 48,
There is no non-repeated factors of 16, 24 and 48 in {2 x 2 x 2 x 2, 2 x 2 x 2 x 3, 2 x 2 x 2 x 2 x 3}.
Use in Mathematics: LCM of 16, 24 and 48
The below are some of the mathematical applications where lcm of 16, 24 and 48 can be used:
The below solved example with step by step work shows how to find what is the lcm of 16, 24 and 48 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 16, 24 and 48?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 16
B = 24
C = 48
What to be found:
find the lcm of 16, 24 and 48
step 2 Find the prime factors of 16, 24 and 48:
Prime factors of 16 = 2 x 2 x 2 x 2
Prime factors of 24 = 2 x 2 x 2 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 16, 24 and 48:
{2, 2, 2, 2, 3} are the most repeated factors and there is no non-repeated factors of 16, 24 and 48.
step 4 Find the product of repeated and non-repeated prime factors of 16, 24 and 48:
= 2 x 2 x 2 x 2 x 3
= 48
lcm(20 and 30) = 48
Hence,
lcm of 16, 24 and 48 is 48
2 | 16 | 24 | 48 |
2 | 8 | 12 | 24 |
2 | 4 | 6 | 12 |
2 | 2 | 3 | 6 |
3 | 1 | 3 | 3 |
1 | 1 | 1 |