LCM of 7, 8 and 14 is equal to 56. The comprehensive work provides more insight of how to find what is the lcm of 7, 8 and 14 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 7, 8 and 14?
lcm (7 8 14) = (?)
7 => 7
8 => 2 x 2 x 2
14 => 2 x 7
= 2 x 7 x 2 x 2
= 56
lcm (7, 8 and 14) = 56
56 is the lcm of 7, 8 and 14.
where,
7 is a positive integer,
8 is a positive integer,
56 is the lcm of 7, 8 and 14,
{2, 7} in {7, 2 x 2 x 2, 2 x 7} are the most repeated factors of 7, 8 and 14,
{2, 2} in {7, 2 x 2 x 2, 2 x 7} are the the other remaining factors of 7, 8 and 14.
Use in Mathematics: LCM of 7, 8 and 14
The below are some of the mathematical applications where lcm of 7, 8 and 14 can be used:
The below solved example with step by step work shows how to find what is the lcm of 7, 8 and 14 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 7, 8 and 14?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 7
B = 8
C = 14
What to be found:
find the lcm of 7, 8 and 14
step 2 Find the prime factors of 7, 8 and 14:
Prime factors of 7 = 7
Prime factors of 8 = 2 x 2 x 2
Prime factors of 14 = 2 x 7
step 3 Identify the repeated and non-repeated prime factors of 7, 8 and 14:
{2, 7} are the most repeated factors and {2, 2} are the non-repeated factors of 7, 8 and 14.
step 4 Find the product of repeated and non-repeated prime factors of 7, 8 and 14:
= 2 x 7 x 2 x 2
= 56
lcm(20 and 30) = 56
Hence,
lcm of 7, 8 and 14 is 56
2 | 7 | 8 | 14 |
2 | 7 | 4 | 7 |
2 | 7 | 2 | 7 |
7 | 7 | 1 | 7 |
1 | 1 | 1 |