LCM of 14, 16 and 22 is equal to 1232. The comprehensive work provides more insight of how to find what is the lcm of 14, 16 and 22 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 14, 16 and 22?
lcm (14 16 22) = (?)
14 => 2 x 7
16 => 2 x 2 x 2 x 2
22 => 2 x 11
= 2 x 7 x 2 x 2 x 2 x 11
= 1232
lcm (14, 16 and 22) = 1232
1232 is the lcm of 14, 16 and 22.
where,
14 is a positive integer,
16 is a positive integer,
1232 is the lcm of 14, 16 and 22,
{2} in {2 x 7, 2 x 2 x 2 x 2, 2 x 11} is the most repeated factors of 14, 16 and 22,
{7, 2, 2, 2, 11} in {2 x 7, 2 x 2 x 2 x 2, 2 x 11} are the the other remaining factors of 14, 16 and 22.
Use in Mathematics: LCM of 14, 16 and 22
The below are some of the mathematical applications where lcm of 14, 16 and 22 can be used:
The below solved example with step by step work shows how to find what is the lcm of 14, 16 and 22 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 14, 16 and 22?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 14
B = 16
C = 22
What to be found:
find the lcm of 14, 16 and 22
step 2 Find the prime factors of 14, 16 and 22:
Prime factors of 14 = 2 x 7
Prime factors of 16 = 2 x 2 x 2 x 2
Prime factors of 22 = 2 x 11
step 3 Identify the repeated and non-repeated prime factors of 14, 16 and 22:
{2} is the most repeated factor and {7, 2, 2, 2, 11} are the non-repeated factors of 14, 16 and 22.
step 4 Find the product of repeated and non-repeated prime factors of 14, 16 and 22:
= 2 x 7 x 2 x 2 x 2 x 11
= 1232
lcm(20 and 30) = 1232
Hence,
lcm of 14, 16 and 22 is 1232
2 | 14 | 16 | 22 |
2 | 7 | 8 | 11 |
2 | 7 | 4 | 11 |
2 | 7 | 2 | 11 |
7 | 7 | 1 | 11 |
11 | 1 | 1 | 11 |
1 | 1 | 1 |