LCM for 9 and 369
What's the Least Common Multiple (LCM) of 9 and 369?
(Three hundred sixty-nine)
Finding LCM for 9 and 369 using GCF's of these numbers
The first method to find LCM for numbers 9 and 369 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 9 and 369 is 9, so
LCM = (9 × 369) ÷ 9
LCM = 3321 ÷ 9
LCM = 369
Finding LCM for 9 and 369 by Listing Multiples
The second method to find LCM for numbers 9 and 369 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
Multiples of 369: 369, 738, 1107, 1476, 1845, 2214, 2583, 2952, 3321, 3690, 4059, 4428, 4797, 5166, 5535, 5904, 6273, 6642, 7011, 7380, 7749, 8118, 8487, 8856, 9225, 9594, 9963, 10332, 10701, 11070, 11439, 11808, 12177, 12546, 12915, 13284, 13653, 14022, 14391, 14760, 15129, 15498, 15867, [...], 369
So the LCM for 9 and 369 is 369
Finding LCM for 9 and 369 by Prime Factorization
Another method to find LCM for numbers 9 and 369 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 369: 3, 3, 41 (exponent form: 32, 411)
32 × 411 = 369
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/9--369">What is the LCM of 9 and 369? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 1 | 369 | 369 |
| 2 | 369 | 738 |
| 3 | 369 | 369 |
| 4 | 369 | 1476 |
| 5 | 369 | 1845 |
| 6 | 369 | 738 |
| 7 | 369 | 2583 |
| 8 | 369 | 2952 |
| 9 | 369 | 369 |
| 10 | 369 | 3690 |
| 11 | 369 | 4059 |
| 12 | 369 | 1476 |
| 13 | 369 | 4797 |
| 14 | 369 | 5166 |
| 15 | 369 | 1845 |
| 16 | 369 | 5904 |
| 17 | 369 | 6273 |
| 18 | 369 | 738 |
| 19 | 369 | 7011 |
| 20 | 369 | 7380 |
| 21 | 369 | 2583 |
| 22 | 369 | 8118 |
| 23 | 369 | 8487 |
| 24 | 369 | 2952 |
| 25 | 369 | 9225 |
| 26 | 369 | 9594 |
| 27 | 369 | 1107 |
| 28 | 369 | 10332 |
| 29 | 369 | 10701 |
| 30 | 369 | 3690 |
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