LCM of 65 and 90 is equal to 1170. The comprehensive work provides more insight of how to find what is the lcm of 65 and 90 by using prime factors and special division methods, and the example use case of mathematics and real world problems.
what is the lcm of 65 and 90?
lcm (65 90) = (?)
65 => 5 x 13
90 => 2 x 3 x 3 x 5
= 5 x 13 x 2 x 3 x 3
= 1170
lcm (65 and 90) = 1170
1170 is the lcm of 65 and 90.
where,
65 is a positive integer,
90 is a positive integer,
1170 is the lcm of 65 and 90,
{5} in {5 x 13, 2 x 3 x 3 x 5} is the common factors of 65 and 90,
{13 x 2 x 3 x 3} in {5 x 13, 2 x 3 x 3 x 5} are the uncommon factors of 65 and 90.
Use in Mathematics: LCM of 65 and 90
The below are some of the mathematical applications where lcm of 65 and 90 can be used:
The below solved example with step by step work shows how to find what is the lcm of 65 and 90 by using prime factors method and division method.
Solved example using prime factors method:
What is the LCM of 65 and 90?
step 1
Address the input parameters, values and observe what to be found:
Input parameters and values:
A = 65
B = 90
What to be found:
find the lcm of 65 and 90
step 2 Find the prime factors of 65 and 90:
Prime factors of 65 = 5 x 13
Prime factors of 90 = 2 x 3 x 3 x 5
step 3 Identify the repeated and non-repeated prime factors of 65 and 90:
{5} is the most repeated factor and {13 x 2 x 3 x 3} are the non-repeated factors of 65 and 90.
step 4 Find the product of repeated and non-repeated prime factors of 65 and 90:
= 5 x 13 x 2 x 3 x 3
= 1170
lcm(65 and 90) = 1170
Hence,
lcm of 65 and 90 is 1170
2 | 65 | 90 |
3 | 65 | 45 |
3 | 65 | 15 |
5 | 65 | 5 |
13 | 13 | 1 |
1 | 1 |