LCM of 39, 52 and 78 is equal to 156. The comprehensive work provides more insight of how to find what is the lcm of 39, 52 and 78 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 39, 52 and 78?
lcm (39 52 78) = (?)
39 => 3 x 13
52 => 2 x 2 x 13
78 => 2 x 3 x 13
= 2 x 3 x 13 x 2
= 156
lcm (39, 52 and 78) = 156
156 is the lcm of 39, 52 and 78.
where,
39 is a positive integer,
52 is a positive integer,
156 is the lcm of 39, 52 and 78,
{2, 3, 13} in {3 x 13, 2 x 2 x 13, 2 x 3 x 13} are the most repeated factors of 39, 52 and 78,
{2} in {3 x 13, 2 x 2 x 13, 2 x 3 x 13} is the other remaining factors of 39, 52 and 78.
Use in Mathematics: LCM of 39, 52 and 78
The below are some of the mathematical applications where lcm of 39, 52 and 78 can be used:
The below solved example with step by step work shows how to find what is the lcm of 39, 52 and 78 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 39, 52 and 78?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 39
B = 52
C = 78
What to be found:
find the lcm of 39, 52 and 78
step 2 Find the prime factors of 39, 52 and 78:
Prime factors of 39 = 3 x 13
Prime factors of 52 = 2 x 2 x 13
Prime factors of 78 = 2 x 3 x 13
step 3 Identify the repeated and non-repeated prime factors of 39, 52 and 78:
{2, 3, 13} are the most repeated factors and {2} is the non-repeated factors of 39, 52 and 78.
step 4 Find the product of repeated and non-repeated prime factors of 39, 52 and 78:
= 2 x 3 x 13 x 2
= 156
lcm(20 and 30) = 156
Hence,
lcm of 39, 52 and 78 is 156
2 | 39 | 52 | 78 |
2 | 39 | 26 | 39 |
3 | 39 | 13 | 39 |
13 | 13 | 13 | 13 |
1 | 1 | 1 |