LCM for 50 and 320
What's the Least Common Multiple (LCM) of 50 and 320?
(One thousand, six hundred)
Finding LCM for 50 and 320 using GCF's of these numbers
The first method to find LCM for numbers 50 and 320 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 50 and 320 is 10, so
LCM = (50 × 320) ÷ 10
LCM = 16000 ÷ 10
LCM = 1600
Finding LCM for 50 and 320 by Listing Multiples
The second method to find LCM for numbers 50 and 320 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 50: 50, 100, 150, 200, 250, 300, 350, 400, 450, 500, 550, 600, 650, 700, 750, 800, 850, 900, 950, 1000, 1050, 1100, 1150, 1200, 1250, 1300, 1350, 1400, 1450, 1500, 1550, 1600, 1650, 1700
Multiples of 320: 320, 640, 960, 1280, 1600, 1920, 2240
So the LCM for 50 and 320 is 1600
Finding LCM for 50 and 320 by Prime Factorization
Another method to find LCM for numbers 50 and 320 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 50: 2, 5, 5 (exponent form: 21, 52)
All Prime Factors of 320: 2, 2, 2, 2, 2, 2, 5 (exponent form: 26, 51)
26 × 52 = 1600
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
35 | 320 | 2240 |
36 | 320 | 2880 |
37 | 320 | 11840 |
38 | 320 | 6080 |
39 | 320 | 12480 |
40 | 320 | 320 |
41 | 320 | 13120 |
42 | 320 | 6720 |
43 | 320 | 13760 |
44 | 320 | 3520 |
45 | 320 | 2880 |
46 | 320 | 7360 |
47 | 320 | 15040 |
48 | 320 | 960 |
49 | 320 | 15680 |
50 | 320 | 1600 |
51 | 320 | 16320 |
52 | 320 | 4160 |
53 | 320 | 16960 |
54 | 320 | 8640 |
55 | 320 | 3520 |
56 | 320 | 2240 |
57 | 320 | 18240 |
58 | 320 | 9280 |
59 | 320 | 18880 |
60 | 320 | 960 |
61 | 320 | 19520 |
62 | 320 | 9920 |
63 | 320 | 20160 |
64 | 320 | 320 |
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