LCM for 7 and 350
What's the Least Common Multiple (LCM) of 7 and 350?
(Three hundred fifty)
Finding LCM for 7 and 350 using GCF's of these numbers
The first method to find LCM for numbers 7 and 350 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 7 and 350 is 7, so
LCM = (7 × 350) ÷ 7
LCM = 2450 ÷ 7
LCM = 350
Finding LCM for 7 and 350 by Listing Multiples
The second method to find LCM for numbers 7 and 350 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, 364
Multiples of 350: 350, 700, 1050, 1400, 1750, 2100, 2450, 2800, 3150, 3500, 3850, 4200, 4550, 4900, 5250, 5600, 5950, 6300, 6650, 7000, 7350, 7700, 8050, 8400, 8750, 9100, 9450, 9800, 10150, 10500, 10850, 11200, 11550, 11900, 12250, 12600, 12950, 13300, 13650, 14000, 14350, 14700, 15050, 15400, 15750, 16100, 16450, 16800, 17150, 17500, 17850, 18200, [...], 350
So the LCM for 7 and 350 is 350
Finding LCM for 7 and 350 by Prime Factorization
Another method to find LCM for numbers 7 and 350 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 350: 2, 5, 5, 7 (exponent form: 21, 52, 71)
71 × 21 × 52 = 350
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
1 | 350 | 350 |
2 | 350 | 350 |
3 | 350 | 1050 |
4 | 350 | 700 |
5 | 350 | 350 |
6 | 350 | 1050 |
7 | 350 | 350 |
8 | 350 | 1400 |
9 | 350 | 3150 |
10 | 350 | 350 |
11 | 350 | 3850 |
12 | 350 | 2100 |
13 | 350 | 4550 |
14 | 350 | 350 |
15 | 350 | 1050 |
16 | 350 | 2800 |
17 | 350 | 5950 |
18 | 350 | 3150 |
19 | 350 | 6650 |
20 | 350 | 700 |
21 | 350 | 1050 |
22 | 350 | 3850 |
23 | 350 | 8050 |
24 | 350 | 4200 |
25 | 350 | 350 |
26 | 350 | 4550 |
27 | 350 | 9450 |
28 | 350 | 700 |
29 | 350 | 10150 |
30 | 350 | 1050 |
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