LCM of 54, 60 and 82 is equal to 22140. The comprehensive work provides more insight of how to find what is the lcm of 54, 60 and 82 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 54, 60 and 82?
lcm (54 60 82) = (?)
54 => 2 x 3 x 3 x 3
60 => 2 x 2 x 3 x 5
82 => 2 x 41
= 2 x 3 x 3 x 3 x 2 x 5 x 41
= 22140
lcm (54, 60 and 82) = 22140
22140 is the lcm of 54, 60 and 82.
where,
54 is a positive integer,
60 is a positive integer,
22140 is the lcm of 54, 60 and 82,
{2, 3} in {2 x 3 x 3 x 3, 2 x 2 x 3 x 5, 2 x 41} are the most repeated factors of 54, 60 and 82,
{3, 3, 2, 5, 41} in {2 x 3 x 3 x 3, 2 x 2 x 3 x 5, 2 x 41} are the the other remaining factors of 54, 60 and 82.
Use in Mathematics: LCM of 54, 60 and 82
The below are some of the mathematical applications where lcm of 54, 60 and 82 can be used:
The below solved example with step by step work shows how to find what is the lcm of 54, 60 and 82 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 54, 60 and 82?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 54
B = 60
C = 82
What to be found:
find the lcm of 54, 60 and 82
step 2 Find the prime factors of 54, 60 and 82:
Prime factors of 54 = 2 x 3 x 3 x 3
Prime factors of 60 = 2 x 2 x 3 x 5
Prime factors of 82 = 2 x 41
step 3 Identify the repeated and non-repeated prime factors of 54, 60 and 82:
{2, 3} are the most repeated factors and {3, 3, 2, 5, 41} are the non-repeated factors of 54, 60 and 82.
step 4 Find the product of repeated and non-repeated prime factors of 54, 60 and 82:
= 2 x 3 x 3 x 3 x 2 x 5 x 41
= 22140
lcm(20 and 30) = 22140
Hence,
lcm of 54, 60 and 82 is 22140
2 | 54 | 60 | 82 |
2 | 27 | 30 | 41 |
3 | 27 | 15 | 41 |
3 | 9 | 5 | 41 |
3 | 3 | 5 | 41 |
5 | 1 | 5 | 41 |
41 | 1 | 1 | 41 |
1 | 1 | 1 |