LCM for 3 and 86
What's the Least Common Multiple (LCM) of 3 and 86?
(Two hundred fifty-eight)
Finding LCM for 3 and 86 using GCF's of these numbers
The first method to find LCM for numbers 3 and 86 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 3 and 86 is 1, so
LCM = (3 × 86) ÷ 1
LCM = 258 ÷ 1
LCM = 258
Finding LCM for 3 and 86 by Listing Multiples
The second method to find LCM for numbers 3 and 86 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 3: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, 66, 69, 72, 75, 78, 81, 84, 87, 90, 93, 96, 99, 102, 105, 108, 111, 114, 117, 120, 123, 126, 129, 132, 135, 138, 141, 144, 147, 150, 153, 156, 159, 162, 165, 168, 171, 174, 177, 180, 183, 186, 189, 192, 195, 198, 201, 204, 207, 210, 213, 216, 219, 222, 225, 228, 231, 234, 237, 240, 243, 246, 249, 252, 255, 258, 261, 264
Multiples of 86: 86, 172, 258, 344, 430
So the LCM for 3 and 86 is 258
Finding LCM for 3 and 86 by Prime Factorization
Another method to find LCM for numbers 3 and 86 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 3: 3 (exponent form: 31)
All Prime Factors of 86: 2, 43 (exponent form: 21, 431)
31 × 21 × 431 = 258
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
1 | 86 | 86 |
2 | 86 | 86 |
3 | 86 | 258 |
4 | 86 | 172 |
5 | 86 | 430 |
6 | 86 | 258 |
7 | 86 | 602 |
8 | 86 | 344 |
9 | 86 | 774 |
10 | 86 | 430 |
11 | 86 | 946 |
12 | 86 | 516 |
13 | 86 | 1118 |
14 | 86 | 602 |
15 | 86 | 1290 |
16 | 86 | 688 |
17 | 86 | 1462 |
18 | 86 | 774 |
19 | 86 | 1634 |
20 | 86 | 860 |
21 | 86 | 1806 |
22 | 86 | 946 |
23 | 86 | 1978 |
24 | 86 | 1032 |
25 | 86 | 2150 |
26 | 86 | 1118 |
27 | 86 | 2322 |
28 | 86 | 1204 |
29 | 86 | 2494 |
30 | 86 | 1290 |
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