LCM of 16, 45 and 100 is equal to 3600. The comprehensive work provides more insight of how to find what is the lcm of 16, 45 and 100 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, 45 and 100?
lcm (16 45 100) = (?)
16 => 2 x 2 x 2 x 2
45 => 3 x 3 x 5
100 => 2 x 2 x 5 x 5
= 2 x 2 x 5 x 2 x 2 x 3 x 3 x 5
= 3600
lcm (16, 45 and 100) = 3600
3600 is the lcm of 16, 45 and 100.
where,
16 is a positive integer,
45 is a positive integer,
3600 is the lcm of 16, 45 and 100,
{2, 2, 5} in {2 x 2 x 2 x 2, 3 x 3 x 5, 2 x 2 x 5 x 5} are the most repeated factors of 16, 45 and 100,
{2, 2, 3, 3, 5} in {2 x 2 x 2 x 2, 3 x 3 x 5, 2 x 2 x 5 x 5} are the the other remaining factors of 16, 45 and 100.
Use in Mathematics: LCM of 16, 45 and 100
The below are some of the mathematical applications where lcm of 16, 45 and 100 can be used:
The below solved example with step by step work shows how to find what is the lcm of 16, 45 and 100 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 16, 45 and 100?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 16
B = 45
C = 100
What to be found:
find the lcm of 16, 45 and 100
step 2 Find the prime factors of 16, 45 and 100:
Prime factors of 16 = 2 x 2 x 2 x 2
Prime factors of 45 = 3 x 3 x 5
Prime factors of 100 = 2 x 2 x 5 x 5
step 3 Identify the repeated and non-repeated prime factors of 16, 45 and 100:
{2, 2, 5} are the most repeated factors and {2, 2, 3, 3, 5} are the non-repeated factors of 16, 45 and 100.
step 4 Find the product of repeated and non-repeated prime factors of 16, 45 and 100:
= 2 x 2 x 5 x 2 x 2 x 3 x 3 x 5
= 3600
lcm(20 and 30) = 3600
Hence,
lcm of 16, 45 and 100 is 3600
2 | 16 | 45 | 100 |
2 | 8 | 45 | 50 |
2 | 4 | 45 | 25 |
2 | 2 | 45 | 25 |
3 | 1 | 45 | 25 |
3 | 1 | 15 | 25 |
5 | 1 | 5 | 25 |
5 | 1 | 1 | 5 |
1 | 1 | 1 |