LCM for 7 and 343
What's the Least Common Multiple (LCM) of 7 and 343?
(Three hundred forty-three)
Finding LCM for 7 and 343 using GCF's of these numbers
The first method to find LCM for numbers 7 and 343 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 7 and 343 is 7, so
LCM = (7 × 343) ÷ 7
LCM = 2401 ÷ 7
LCM = 343
Finding LCM for 7 and 343 by Listing Multiples
The second method to find LCM for numbers 7 and 343 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98, 105, 112, 119, 126, 133, 140, 147, 154, 161, 168, 175, 182, 189, 196, 203, 210, 217, 224, 231, 238, 245, 252, 259, 266, 273, 280, 287, 294, 301, 308, 315, 322, 329, 336, 343, 350, 357
Multiples of 343: 343, 686, 1029, 1372, 1715, 2058, 2401, 2744, 3087, 3430, 3773, 4116, 4459, 4802, 5145, 5488, 5831, 6174, 6517, 6860, 7203, 7546, 7889, 8232, 8575, 8918, 9261, 9604, 9947, 10290, 10633, 10976, 11319, 11662, 12005, 12348, 12691, 13034, 13377, 13720, 14063, 14406, 14749, 15092, 15435, 15778, 16121, 16464, 16807, 17150, 17493, [...], 343
So the LCM for 7 and 343 is 343
Finding LCM for 7 and 343 by Prime Factorization
Another method to find LCM for numbers 7 and 343 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 7: 7 (exponent form: 71)
All Prime Factors of 343: 7, 7, 7 (exponent form: 73)
73 = 343
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
1 | 343 | 343 |
2 | 343 | 686 |
3 | 343 | 1029 |
4 | 343 | 1372 |
5 | 343 | 1715 |
6 | 343 | 2058 |
7 | 343 | 343 |
8 | 343 | 2744 |
9 | 343 | 3087 |
10 | 343 | 3430 |
11 | 343 | 3773 |
12 | 343 | 4116 |
13 | 343 | 4459 |
14 | 343 | 686 |
15 | 343 | 5145 |
16 | 343 | 5488 |
17 | 343 | 5831 |
18 | 343 | 6174 |
19 | 343 | 6517 |
20 | 343 | 6860 |
21 | 343 | 1029 |
22 | 343 | 7546 |
23 | 343 | 7889 |
24 | 343 | 8232 |
25 | 343 | 8575 |
26 | 343 | 8918 |
27 | 343 | 9261 |
28 | 343 | 1372 |
29 | 343 | 9947 |
30 | 343 | 10290 |
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