LCM for 9 and 432
What's the Least Common Multiple (LCM) of 9 and 432?
(Four hundred thirty-two)
Finding LCM for 9 and 432 using GCF's of these numbers
The first method to find LCM for numbers 9 and 432 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 9 and 432 is 9, so
LCM = (9 × 432) ÷ 9
LCM = 3888 ÷ 9
LCM = 432
Finding LCM for 9 and 432 by Listing Multiples
The second method to find LCM for numbers 9 and 432 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 9: 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198, 207, 216, 225, 234, 243, 252, 261, 270, 279, 288, 297, 306, 315, 324, 333, 342, 351, 360, 369, 378, 387, 396, 405, 414, 423, 432, 441, 450
Multiples of 432: 432, 864, 1296, 1728, 2160, 2592, 3024, 3456, 3888, 4320, 4752, 5184, 5616, 6048, 6480, 6912, 7344, 7776, 8208, 8640, 9072, 9504, 9936, 10368, 10800, 11232, 11664, 12096, 12528, 12960, 13392, 13824, 14256, 14688, 15120, 15552, 15984, 16416, 16848, 17280, 17712, 18144, 18576, 19008, 19440, 19872, 20304, 20736, 21168, 21600, [...], 432
So the LCM for 9 and 432 is 432
Finding LCM for 9 and 432 by Prime Factorization
Another method to find LCM for numbers 9 and 432 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 9: 3, 3 (exponent form: 32)
All Prime Factors of 432: 2, 2, 2, 2, 3, 3, 3 (exponent form: 24, 33)
33 × 24 = 432
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
1 | 432 | 432 |
2 | 432 | 432 |
3 | 432 | 432 |
4 | 432 | 432 |
5 | 432 | 2160 |
6 | 432 | 432 |
7 | 432 | 3024 |
8 | 432 | 432 |
9 | 432 | 432 |
10 | 432 | 2160 |
11 | 432 | 4752 |
12 | 432 | 432 |
13 | 432 | 5616 |
14 | 432 | 3024 |
15 | 432 | 2160 |
16 | 432 | 432 |
17 | 432 | 7344 |
18 | 432 | 432 |
19 | 432 | 8208 |
20 | 432 | 2160 |
21 | 432 | 3024 |
22 | 432 | 4752 |
23 | 432 | 9936 |
24 | 432 | 432 |
25 | 432 | 10800 |
26 | 432 | 5616 |
27 | 432 | 432 |
28 | 432 | 3024 |
29 | 432 | 12528 |
30 | 432 | 2160 |
About "Least Common Multiple" Calculator
Least Common Multiple (LCM) also known as the Lowest Common Multiple or Smallest Common Multiple of 2 numbers - it is the smallest positive integer that is divisible by both numbers