LCM of 3 and 14 is 42. If you observe the common multiples of 3 and 14, there are 42, 84, 126 and so on. Out of these common multiples, 42 is the least number or the smallest number that is common. Hence 42 is called the Least Common multiple or Lowest common multiple or simply LCM. The LCM is also known as LCD, Least Common Divisor for 3 and 14 is 42. You can refer to the LCM with Examples.
What is LCM of 3 and 14
The Least Common Multiple or Lowest Common Multiple of 3 and 14 is 42.
How to Find LCM of 3 and 14?
LCM of 3 and 14 can be determined using three methods:
- Prime Factorisation
- Division method
- Listing the multiples
LCM of 3 and 14 Using Prime Factorisation Method
In the Prime Factorisation method, the numbers can be expressed as the product of prime numbers. Here, 3 and 14 can be expressed as;
3 = 1 × 3
14 = 2 × 7
LCM (3, 14) = 2 × 3 × 7 = 42
LCM of 3 and 14 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.
|
2 |
3 |
14 |
|
3 |
3 |
7 |
|
7 |
1 |
7 |
|
× |
1 |
1 |
Hence, LCM (3, 14) = 2 × 3 × 7 = 42
LCM of 3 and 14 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 3 and 14
Multiples of 3:
3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48,….
Multiples of 14:
14, 28, 42, 56, 70,….
LCM (3, 14) = 42
Related Articles
Video Lesson on Applications of LCM
Solved Examples
What is the smallest number that is divisible by both 3 and 14?
Answer: 42 is the smallest number that is divisible by both 3 and 14.
What is the GCF for 3 and 14?
Answer: Greatest Common Factor for 3 and 14 is 1.
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