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