LCM of 45 and 99 is 495. The Least Common multiple or Lowest common multiple simply known as LCM is the smallest or the least positive integer that is divisible by the given set of numbers. In the given set of numbers 45 and 99, 495 is the first(least or smallest) number that is common in the set of multiples of 45 and 99. There are other common multiples out of which 495 is the smallest. The LCM is also known as LCD, Least Common Divisor for 45 and 99 is 495. You can read more on LCM for further details.
What is LCM of 45 and 99
The Least Common Multiple or Lowest Common Multiple of 45 and 99 is 495.
How to Find LCM of 45 and 99?
LCM of 45 and 99 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 45 and 99 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 45 and 99 can be expressed as;
45 = 3 × 3 × 5
99 = 3 × 3 × 11
LCM (45, 99) = 3 × 3 × 5 × 11 = 495
LCM of 45 and 99 Using Division Method
In the Division Method, the given set of numbers are written in the same row separated by a comma. These numbers are divided with the smallest number that divides all, until no further division is possible or only when prime numbers are left. Here 45 and 99 are divided as shown below;
|
3 |
45 |
99 |
|
3 |
15 |
33 |
|
5 |
5 |
11 |
|
11 |
1 |
11 |
|
× |
1 |
1 |
LCM (45, 99) = 3 × 3 × 5 × 11 = 495
LCM of 45 and 99 Using Listing the Multiples
By listing all the multiples of given numbers, we can identify the first/smallest/least common multiple, which is the LCM. Below is the list of multiples for 45 and 99.
|
Multiples of 45 |
Multiples of 99 |
|
45 |
99 |
|
90 |
198 |
|
135 |
297 |
|
180 |
396 |
|
225 |
495 |
|
270 |
594 |
|
315 |
693 |
|
360 |
792 |
|
405 |
891 |
|
450 |
990 |
|
495 |
1089 |
|
540 |
1188 |
LCM (45, 99) = 495
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 45 and 99?
Answer: 495 is the smallest number that is divisible by both 45 and 99.
What is the LCM for 5, 11, 45 and 99?
Answer: LCM for 5, 11, 45 and 99 is 495 as 5 is the factor of 45 and 11 is a factor of 99.
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