LCM for 30 and 255
"Least Common Multiple" Calculator
What's the Least Common Multiple (LCM) of 30 and 255?
(Five hundred ten)
Finding LCM for 30 and 255 using GCF's of these numbers
The first method to find LCM for numbers 30 and 255 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 30 and 255 is 15, so
LCM = (30 × 255) ÷ 15
LCM = 7650 ÷ 15
LCM = 510
Finding LCM for 30 and 255 by Listing Multiples
The second method to find LCM for numbers 30 and 255 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 30: 30, 60, 90, 120, 150, 180, 210, 240, 270, 300, 330, 360, 390, 420, 450, 480, 510, 540, 570
Multiples of 255: 255, 510, 765, 1020
So the LCM for 30 and 255 is 510
Finding LCM for 30 and 255 by Prime Factorization
Another method to find LCM for numbers 30 and 255 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 30: 2, 3, 5 (exponent form: 21, 31, 51)
All Prime Factors of 255: 3, 5, 17 (exponent form: 31, 51, 171)
21 × 31 × 51 × 171 = 510
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
"Least Common Multiple" Calculator
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
15 | 255 | 255 |
16 | 255 | 4080 |
17 | 255 | 255 |
18 | 255 | 1530 |
19 | 255 | 4845 |
20 | 255 | 1020 |
21 | 255 | 1785 |
22 | 255 | 5610 |
23 | 255 | 5865 |
24 | 255 | 2040 |
25 | 255 | 1275 |
26 | 255 | 6630 |
27 | 255 | 2295 |
28 | 255 | 7140 |
29 | 255 | 7395 |
30 | 255 | 510 |
31 | 255 | 7905 |
32 | 255 | 8160 |
33 | 255 | 2805 |
34 | 255 | 510 |
35 | 255 | 1785 |
36 | 255 | 3060 |
37 | 255 | 9435 |
38 | 255 | 9690 |
39 | 255 | 3315 |
40 | 255 | 2040 |
41 | 255 | 10455 |
42 | 255 | 3570 |
43 | 255 | 10965 |
44 | 255 | 11220 |
FAQ
What's the Least Common Multiple (LCM) of 30 and 255?
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- Наименьшее общее кратное 30 и 255