LCM of 4, 12 and 16 is 48. LCM represents the smallest positive number which is a multiple of two or more numbers. The faculty crafted the article Prime Factorisation and Division Method for LCM and HCF in a precise manner so that students get all the essential information based on LCM and HCF. Using this article while solving problems makes students more confident in solving complex questions effortlessly. In this article, we will learn how to find the least common multiple of 4, 12, and 16 with a complete explanation.
What is LCM of 4, 12 and 16?
The answer to this question is 48.
How to Find LCM of 4, 12 and 16?
LCM of 4, 12 and 16 can be obtained by using the following methods:
- Prime Factorisation
- Division method
- Listing the Multiples
LCM of 4, 12 and 16 Using Prime Factorisation Method
In the prime factorisation method, the given natural numbers are expressed as the product of prime factors. Hence the numbers 4, 12, and 16 can be expressed as;
4 = 2 × 2
12 = 2 × 2 × 3
16 = 2 × 2 × 2 × 2
LCM (4, 12, 16) = 2 × 2 × 2 × 2 × 3 = 48
LCM of 4, 12 and 16 Using Division Method
In this method, we divide the numbers 4, 12, and 16 by a common prime number until the remainder is a prime number or one. The product of these divisors depicts the least common multiple of 4, 12, and 16.
| 2 | 4 | 12 | 16 |
| 2 | 2 | 6 | 8 |
| 2 | 1 | 3 | 4 |
| 2 | 1 | 3 | 2 |
| 3 | 1 | 3 | 1 |
| x | 1 | 1 | 1 |
No further division can be done.
Hence, LCM (4, 12, 16) = 2 × 2 × 2 × 2 × 3 = 48
LCM of 4, 12 and 16 Using Listing the Multiples
In this method, we list down the multiples of given natural numbers to find the lowest common multiple among them. The following table shows the multiples of 4, 12, and 16.
| Multiples of 4 | Multiples of 12 | Multiples of 16 |
| 4 | 12 | 16 |
| 8 | 24 | 32 |
| 12 | 36 | 48 |
| 16 | 48 | 64 |
| 20 | 60 | 80 |
| 24 | 72 | 96 |
| 28 | 84 | 112 |
| 32 | 96 | 128 |
| 36 | 108 | 144 |
| 40 | 120 | 160 |
| 44 | 132 | 176 |
| 48 | 144 | 192 |
| 52 | 156 | 208 |
LCM (4, 12, 16) = 48
Related Articles
Video Lesson on Applications of LCM
Solved Example
Question: What is the smallest number that is divisible by 4, 12, 16 exactly?
Solution: The LCM of 4, 12 and 16 is the smallest number that is divisible by 4, 12, 16 exactly. Here 48 is the LCM of 4, 12 and 16. Hence the smallest number that is divisible by 4, 12, 16 exactly is 48.
Frequently Asked Questions on LCM of 4, 12 and 16
What is the LCM of 4, 12 and 16?
Is the LCM of 4, 12 and 16 the same as the HCF of 4, 12 and 16?
Is 58 the LCM of 4, 12 and 16?
Name the methods used to find the LCM of 4, 12 and 16.
The methods used to find the LCM of 4, 12 and 16 are
Prime Factorisation
Division Method
Listing the Multiples
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