LCM of 10 and 15 is equal to 30. The comprehensive work provides more insight of how to find what is the lcm of 10 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 10 and 15?
lcm (10 15) = (?)
10 => 2 x 5
15 => 3 x 5
= 5 x 2 x 3
= 30
lcm (10 and 15) = 30
30 is the lcm of 10 and 15.
where,
10 is a positive integer,
15 is a positive integer,
30 is the lcm of 10 and 15,
{5} in {2 x 5, 3 x 5} is the common factors of 10 and 15,
{2 x 3} in {2 x 5, 3 x 5} are the uncommon factors of 10 and 15.
Use in Mathematics: LCM of 10 and 15
The below are some of the mathematical applications where lcm of 10 and 15 can be used:
The below solved example with step by step work shows how to find what is the lcm of 10 and 15 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 10 and 15?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 10
B = 15
What to be found:
find the lcm of 10 and 15
step 2 Find the prime factors of 10 and 15:
Prime factors of 10 = 2 x 5
Prime factors of 15 = 3 x 5
step 3 Identify the repeated and non-repeated prime factors of 10 and 15:
{5} is the most repeated factor and {2 x 3} are the non-repeated factors of 10 and 15.
step 4 Find the product of repeated and non-repeated prime factors of 10 and 15:
= 5 x 2 x 3
= 30
lcm(10 and 15) = 30
Hence,
lcm of 10 and 15 is 30
2 | 10 | 15 |
3 | 5 | 15 |
5 | 5 | 5 |
1 | 1 |