LCM of 13, 16 and 26 is equal to 208. The comprehensive work provides more insight of how to find what is the lcm of 13, 16 and 26 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 13, 16 and 26?
lcm (13 16 26) = (?)
13 => 13
16 => 2 x 2 x 2 x 2
26 => 2 x 13
= 2 x 13 x 2 x 2 x 2
= 208
lcm (13, 16 and 26) = 208
208 is the lcm of 13, 16 and 26.
where,
13 is a positive integer,
16 is a positive integer,
208 is the lcm of 13, 16 and 26,
{2, 13} in {13, 2 x 2 x 2 x 2, 2 x 13} are the most repeated factors of 13, 16 and 26,
{2, 2, 2} in {13, 2 x 2 x 2 x 2, 2 x 13} are the the other remaining factors of 13, 16 and 26.
Use in Mathematics: LCM of 13, 16 and 26
The below are some of the mathematical applications where lcm of 13, 16 and 26 can be used:
The below solved example with step by step work shows how to find what is the lcm of 13, 16 and 26 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 13, 16 and 26?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 13
B = 16
C = 26
What to be found:
find the lcm of 13, 16 and 26
step 2 Find the prime factors of 13, 16 and 26:
Prime factors of 13 = 13
Prime factors of 16 = 2 x 2 x 2 x 2
Prime factors of 26 = 2 x 13
step 3 Identify the repeated and non-repeated prime factors of 13, 16 and 26:
{2, 13} are the most repeated factors and {2, 2, 2} are the non-repeated factors of 13, 16 and 26.
step 4 Find the product of repeated and non-repeated prime factors of 13, 16 and 26:
= 2 x 13 x 2 x 2 x 2
= 208
lcm(20 and 30) = 208
Hence,
lcm of 13, 16 and 26 is 208
2 | 13 | 16 | 26 |
2 | 13 | 8 | 13 |
2 | 13 | 4 | 13 |
2 | 13 | 2 | 13 |
13 | 13 | 1 | 13 |
1 | 1 | 1 |