LCM of 6 and 14 is equal to 42. The comprehensive work provides more insight of how to find what is the lcm of 6 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 6 and 14?
lcm (6 14) = (?)
6 => 2 x 3
14 => 2 x 7
= 2 x 3 x 7
= 42
lcm (6 and 14) = 42
42 is the lcm of 6 and 14.
where,
6 is a positive integer,
14 is a positive integer,
42 is the lcm of 6 and 14,
{2} in {2 x 3, 2 x 7} is the common factors of 6 and 14,
{3 x 7} in {2 x 3, 2 x 7} are the uncommon factors of 6 and 14.
Use in Mathematics: LCM of 6 and 14
The below are some of the mathematical applications where lcm of 6 and 14 can be used:
The below solved example with step by step work shows how to find what is the lcm of 6 and 14 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 6 and 14?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 6
B = 14
What to be found:
find the lcm of 6 and 14
step 2 Find the prime factors of 6 and 14:
Prime factors of 6 = 2 x 3
Prime factors of 14 = 2 x 7
step 3 Identify the repeated and non-repeated prime factors of 6 and 14:
{2} is the most repeated factor and {3 x 7} are the non-repeated factors of 6 and 14.
step 4 Find the product of repeated and non-repeated prime factors of 6 and 14:
= 2 x 3 x 7
= 42
lcm(6 and 14) = 42
Hence,
lcm of 6 and 14 is 42
2 | 6 | 14 |
3 | 3 | 7 |
7 | 1 | 7 |
1 | 1 |