LCM of 9 and 10 is equal to 90. The comprehensive work provides more insight of how to find what is the lcm of 9 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 9 and 10?
lcm (9 10) = (?)
9 => 3 x 3
10 => 2 x 5
= 3 x 3 x 2 x 5
= 90
lcm (9 and 10) = 90
90 is the lcm of 9 and 10.
where,
9 is a positive integer,
10 is a positive integer,
90 is the lcm of 9 and 10,
There is no common factors of 9 and 10 in {3 x 3, 2 x 5},
{3 x 3 x 2 x 5} in {3 x 3, 2 x 5} are the uncommon factors of 9 and 10.
Use in Mathematics: LCM of 9 and 10
The below are some of the mathematical applications where lcm of 9 and 10 can be used:
The below solved example with step by step work shows how to find what is the lcm of 9 and 10 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 9 and 10?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 9
B = 10
What to be found:
find the lcm of 9 and 10
step 2 Find the prime factors of 9 and 10:
Prime factors of 9 = 3 x 3
Prime factors of 10 = 2 x 5
step 3Identify the repeated and non-repeated prime factors of 9 and 10:
Since there is no common factors between 9 and 10, multiplying the given numbers directly provides the LCM of
9 and 10.
= 9 x 10
= 90
lcm(9 and 10) = 90
Hence,
lcm of 9 and 10 is 90
2 | 9 | 10 |
3 | 9 | 5 |
3 | 3 | 5 |
5 | 1 | 5 |
1 | 1 |