LCM of 16 and 60 is 240. If we make a list of the common factors of 16 and 60, the first common factor which will be the least or smallest number, is called the Least common factor. Also known as Lowest common multiple. In the numbers 16 and 60, 240 is the first(least or smallest) number that is common in the set of common multiples of 16 and 60. The LCM which is also known as LCD, Least Common Divisor for 16 and 60 is 240. You can find the LCM of numbers using the Prime Factorization and Division method.
What is LCM of 16 and 60
The Least Common Multiple or Lowest Common Multiple of 16 and 60 is 240.
How to Find LCM of 16 and 60?
LCM of 16 and 60 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 16 and 60 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 16 and 60 can be expressed as;
16 = 2 × 2 × 2 × 2
60 = 2 × 2 × 3 × 5
LCM (16, 60) = 2 × 2 × 2 × 2 × 3 × 5 = 240
LCM of 16 and 60 Using Division Method
In the Division Method, the numbers 16 and 60 are divided by common prime divisors and the reminders with other prime factors. Product of the common and othe prime factors are the LCM.
|
2 |
16 |
240 |
|
2 |
8 |
120 |
|
2 |
4 |
60 |
|
2 |
2 |
30 |
|
3 |
1 |
15 |
|
5 |
1 |
5 |
|
× |
1 |
1 |
Therefore LCM (16, 60) = 2 × 2 × 2 × 2 × 3 × 5 = 240
LCM of 16 and 60 Using Listing the Multiples
By listing all the multiples of 16 and 60, we can identify the LCM. Below is the list of multiples for 16 and 60
Multiples of 16:
16, 32, 48, 64, 80, 96, 112, 128, 144, 160, 176, 192, 208, 224, 240, 256, 272…..
Multiples of 240:
60, 120, 180, 240, 300, 360…
LCM (16, 60) = 240
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 16 and 60?
Answer: 240 is the smallest number that is divisible by both 16 and 60.
What is the LCM for 4, 12, 16 and 60?
Answer: LCM for 4, 12, 16 and 60 is 240.
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