LCM of 3, 6 and 10 is equal to 30. The comprehensive work provides more insight of how to find what is the lcm of 3, 6 and 10 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 3, 6 and 10?
lcm (3 6 10) = (?)
3 => 3
6 => 2 x 3
10 => 2 x 5
= 2 x 3 x 5
= 30
lcm (3, 6 and 10) = 30
30 is the lcm of 3, 6 and 10.
where,
3 is a positive integer,
6 is a positive integer,
30 is the lcm of 3, 6 and 10,
{2, 3} in {3, 2 x 3, 2 x 5} are the most repeated factors of 3, 6 and 10,
{5} in {3, 2 x 3, 2 x 5} is the other remaining factors of 3, 6 and 10.
Use in Mathematics: LCM of 3, 6 and 10
The below are some of the mathematical applications where lcm of 3, 6 and 10 can be used:
The below solved example with step by step work shows how to find what is the lcm of 3, 6 and 10 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 3, 6 and 10?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 3
B = 6
C = 10
What to be found:
find the lcm of 3, 6 and 10
step 2 Find the prime factors of 3, 6 and 10:
Prime factors of 3 = 3
Prime factors of 6 = 2 x 3
Prime factors of 10 = 2 x 5
step 3 Identify the repeated and non-repeated prime factors of 3, 6 and 10:
{2, 3} are the most repeated factors and {5} is the non-repeated factors of 3, 6 and 10.
step 4 Find the product of repeated and non-repeated prime factors of 3, 6 and 10:
= 2 x 3 x 5
= 30
lcm(20 and 30) = 30
Hence,
lcm of 3, 6 and 10 is 30
2 | 3 | 6 | 10 |
3 | 3 | 3 | 5 |
5 | 1 | 1 | 5 |
1 | 1 | 1 |