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