LCM of 3, 6 and 9 is equal to 18. The comprehensive work provides more insight of how to find what is the lcm of 3, 6 and 9 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 9?
lcm (3 6 9) = (?)
3 => 3
6 => 2 x 3
9 => 3 x 3
= 3 x 2 x 3
= 18
lcm (3, 6 and 9) = 18
18 is the lcm of 3, 6 and 9.
where,
3 is a positive integer,
6 is a positive integer,
18 is the lcm of 3, 6 and 9,
{3} in {3, 2 x 3, 3 x 3} is the most repeated factors of 3, 6 and 9,
{2, 3} in {3, 2 x 3, 3 x 3} are the the other remaining factors of 3, 6 and 9.
Use in Mathematics: LCM of 3, 6 and 9
The below are some of the mathematical applications where lcm of 3, 6 and 9 can be used:
The below solved example with step by step work shows how to find what is the lcm of 3, 6 and 9 by using either prime factors method and special division method.
Solved example using prime factors method:
What is the LCM of 3, 6 and 9?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 3
B = 6
C = 9
What to be found:
find the lcm of 3, 6 and 9
step 2 Find the prime factors of 3, 6 and 9:
Prime factors of 3 = 3
Prime factors of 6 = 2 x 3
Prime factors of 9 = 3 x 3
step 3 Identify the repeated and non-repeated prime factors of 3, 6 and 9:
{3} is the most repeated factor and {2, 3} are the non-repeated factors of 3, 6 and 9.
step 4 Find the product of repeated and non-repeated prime factors of 3, 6 and 9:
= 3 x 2 x 3
= 18
lcm(20 and 30) = 18
Hence,
lcm of 3, 6 and 9 is 18
2 | 3 | 6 | 9 |
3 | 3 | 3 | 9 |
3 | 1 | 1 | 3 |
1 | 1 | 1 |