LCM of 5 and 15 is equal to 15. The comprehensive work provides more insight of how to find what is the lcm of 5 and 15 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 5 and 15?
lcm (5 15) = (?)
5 => 5
15 => 3 x 5
= 5 x 3
= 15
lcm (5 and 15) = 15
15 is the lcm of 5 and 15.
where,
5 is a positive integer,
15 is a positive integer,
15 is the lcm of 5 and 15,
{5} in {5, 3 x 5} is the common factors of 5 and 15,
{3} in {5, 3 x 5} is the uncommon factors of 5 and 15.
Use in Mathematics: LCM of 5 and 15
The below are some of the mathematical applications where lcm of 5 and 15 can be used:
The below solved example with step by step work shows how to find what is the lcm of 5 and 15 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 5 and 15?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 5
B = 15
What to be found:
find the lcm of 5 and 15
step 2 Find the prime factors of 5 and 15:
Prime factors of 5 = 5
Prime factors of 15 = 3 x 5
step 3 Identify the repeated and non-repeated prime factors of 5 and 15:
{5} is the most repeated factor and {3} is the non-repeated factor of 5 and 15.
step 4 Find the product of repeated and non-repeated prime factors of 5 and 15:
= 5 x 3
= 15
lcm(5 and 15) = 15
Hence,
lcm of 5 and 15 is 15
3 | 5 | 15 |
5 | 5 | 5 |
1 | 1 |