The Least Common Multiple (LCM) of 12 and 16 is 48. The LCM is the smallest number that is a multiple of both numbers. The first few multiples of 12 are 12, 24, 36, 48, 60, 72, and so on, while the first few multiples of 16 are 16, 32, 48, 64, 80, 96, etc. For a deeper understanding of LCM, you can check out this comprehensive guide on Least Common Multiple (LCM) . In this article, we'll explain a simple method for finding the LCM of 12 and 16.
LCM of 12 and 16 - Methods and Solved Examples
Last Updated on Jul 31, 2023
Download As PDF
IMPORTANT LINKS
30 in words
50 in words
70 in words
40 in words
Midpoint Formula
Square Root
45000 in words
Cube Root
1999 in roman numerals
13 in roman numerals
200 in roman numerals
70 in roman numerals
Factors of 27
Factors of 16
Factors of 120
Square Root and Cube Root
Squares and Square roots
Types of Function Graphs
Right Triangle Congruence Theorem
80 in Words
Finding the LCM of 12 and 16
The LCM of 12 and 16 is 48. We can find this using three methods:
- Prime Factorisation
- Division Method
- Listing the Multiples
Using Prime Factorisation to Find the LCM of 12 and 16
The prime factorisation method involves multiplying the highest power of all prime factors. For example:
12 = 2 × 2 × 3
16 = 2 × 2 × 2 × 2
LCM (12, 16) = 2 × 2 × 2 × 2 × 3 = 48
Using the Division Method to Find the LCM of 12 and 16
In the division method, we divide the numbers 12 and 16 by their prime factors. The product of these factors gives us the LCM of 12 and 16.
So, the LCM (12, 16) = 2 × 2 × 2 × 2 × 3 = 48
Using the Multiples Method to Find the LCM of 12 and 16
In the multiples method, we list the multiples of 12 and 16 and find the lowest common multiple.
So, the LCM (12, 16) = 48
Related Articles
More Articles for Maths
Frequently Asked Questions
What is the LCM of 12 and 16?
The LCM of 12 and 16 is 48.
Mention the first five multiples of 12 and 16.
The first five multiples of 12 are 12, 24,36, 48, 60 and the first five multiples of 16 are 16, 32, 48, 64, 80.
Is 48 the LCM of 12 and 16?
Yes, the LCM of 12 and 16 is 48.
Test Series
133.9k Students
NCERT XI-XII Physics Foundation Pack Mock Test
323 TOTAL TESTS
| 3 Free Tests
- 3 Live Test
- 163 Class XI Chapter Tests
- 157 Class XII Chapter Tests