LCM of 15 and 90 is 90.The Least/Lowest Common multiple known as LCM is the smallest number that is divisible by the given numbers. In the given set of numbers 15 and 90, 90 is the first(least or smallest) number that is common in the set of multiples of 15 and 90. The LCM is also known as LCD, Least Common Divisor. You can use the LCM with Examples to find out more about LCM.
What is LCM of 15 and 90
The Least Common Multiple or Lowest Common Multiple of 15 and 90 is 90.
How to Find LCM of 15 and 90?
LCM of 15 and 90 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 15 and 90 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers 15 and 90 can be expressed as;
15 = 3 × 5
90 = 2 × 3 × 3 × 5
15 is also the common factor for 90, hence 15 along with other factors of 90 are multiplied to get the LCM.
LCM (15, 90) = 2 × 3 × 3 × 5 = 90
LCM of 15 and 90 Using Division Method
In the Division Method, the given set of numbers 15 and 90 are divided by common prime divisors. These common prime divisors along with other prime divisors of 90 to get the LCM.
|
2 |
15 |
90 |
|
3 |
15 |
45 |
|
3 |
5 |
15 |
|
5 |
5 |
5 |
|
× |
1 |
1 |
LCM (15, 90) = 2 × 3 × 3 × 5 = 90
LCM of 15 and 90 Using Listing the Multiples
By listing all the multiples of 15 and 90, we can identify the LCM. Below is the list of multiples for 15 and 90.
|
Multiples of 15 |
Multiples of 90 |
|
15 |
90 |
|
30 |
180 |
|
45 |
270 |
|
60 |
360 |
|
75 |
450 |
|
90 |
540 |
|
105 |
630 |
LCM (15, 90) = 90
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 15 and 90?
Answer: 90 is the smallest number that is divisible by both 15 and 90.
What is the LCM for 5, 3, 15 and 90?
Answer: LCM for 5, 3, 15 and 90 is 90.
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