LCM of 28, 32 and 64 is equal to 448. The comprehensive work provides more insight of how to find what is the lcm of 28, 32 and 64 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 28, 32 and 64?
lcm (28 32 64) = (?)
28 => 2 x 2 x 7
32 => 2 x 2 x 2 x 2 x 2
64 => 2 x 2 x 2 x 2 x 2 x 2
= 2 x 2 x 2 x 2 x 2 x 7 x 2
= 448
lcm (28, 32 and 64) = 448
448 is the lcm of 28, 32 and 64.
where,
28 is a positive integer,
32 is a positive integer,
448 is the lcm of 28, 32 and 64,
{2, 2, 2, 2, 2} in {2 x 2 x 7, 2 x 2 x 2 x 2 x 2, 2 x 2 x 2 x 2 x 2 x 2} are the most repeated factors of 28, 32 and 64,
{7, 2} in {2 x 2 x 7, 2 x 2 x 2 x 2 x 2, 2 x 2 x 2 x 2 x 2 x 2} are the the other remaining factors of 28, 32 and 64.
Use in Mathematics: LCM of 28, 32 and 64
The below are some of the mathematical applications where lcm of 28, 32 and 64 can be used:
The below solved example with step by step work shows how to find what is the lcm of 28, 32 and 64 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 28, 32 and 64?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 28
B = 32
C = 64
What to be found:
find the lcm of 28, 32 and 64
step 2 Find the prime factors of 28, 32 and 64:
Prime factors of 28 = 2 x 2 x 7
Prime factors of 32 = 2 x 2 x 2 x 2 x 2
Prime factors of 64 = 2 x 2 x 2 x 2 x 2 x 2
step 3 Identify the repeated and non-repeated prime factors of 28, 32 and 64:
{2, 2, 2, 2, 2} are the most repeated factors and {7, 2} are the non-repeated factors of 28, 32 and 64.
step 4 Find the product of repeated and non-repeated prime factors of 28, 32 and 64:
= 2 x 2 x 2 x 2 x 2 x 7 x 2
= 448
lcm(20 and 30) = 448
Hence,
lcm of 28, 32 and 64 is 448
2 | 28 | 32 | 64 |
2 | 14 | 16 | 32 |
2 | 7 | 8 | 16 |
2 | 7 | 4 | 8 |
2 | 7 | 2 | 4 |
2 | 7 | 1 | 2 |
7 | 7 | 1 | 1 |
1 | 1 | 1 |