LCM of 28, 32 and 34 is equal to 3808. The comprehensive work provides more insight of how to find what is the lcm of 28, 32 and 34 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 34?
lcm (28 32 34) = (?)
28 => 2 x 2 x 7
32 => 2 x 2 x 2 x 2 x 2
34 => 2 x 17
= 2 x 2 x 7 x 2 x 2 x 2 x 17
= 3808
lcm (28, 32 and 34) = 3808
3808 is the lcm of 28, 32 and 34.
where,
28 is a positive integer,
32 is a positive integer,
3808 is the lcm of 28, 32 and 34,
{2, 2} in {2 x 2 x 7, 2 x 2 x 2 x 2 x 2, 2 x 17} are the most repeated factors of 28, 32 and 34,
{7, 2, 2, 2, 17} in {2 x 2 x 7, 2 x 2 x 2 x 2 x 2, 2 x 17} are the the other remaining factors of 28, 32 and 34.
Use in Mathematics: LCM of 28, 32 and 34
The below are some of the mathematical applications where lcm of 28, 32 and 34 can be used:
The below solved example with step by step work shows how to find what is the lcm of 28, 32 and 34 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 28, 32 and 34?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 28
B = 32
C = 34
What to be found:
find the lcm of 28, 32 and 34
step 2 Find the prime factors of 28, 32 and 34:
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 34 = 2 x 17
step 3 Identify the repeated and non-repeated prime factors of 28, 32 and 34:
{2, 2} are the most repeated factors and {7, 2, 2, 2, 17} are the non-repeated factors of 28, 32 and 34.
step 4 Find the product of repeated and non-repeated prime factors of 28, 32 and 34:
= 2 x 2 x 7 x 2 x 2 x 2 x 17
= 3808
lcm(20 and 30) = 3808
Hence,
lcm of 28, 32 and 34 is 3808
2 | 28 | 32 | 34 |
2 | 14 | 16 | 17 |
2 | 7 | 8 | 17 |
2 | 7 | 4 | 17 |
2 | 7 | 2 | 17 |
7 | 7 | 1 | 17 |
17 | 1 | 1 | 17 |
1 | 1 | 1 |