LCM for 80 and 390
What's the Least Common Multiple (LCM) of 80 and 390?
(Three thousand, one hundred twenty)
Finding LCM for 80 and 390 using GCF's of these numbers
The first method to find LCM for numbers 80 and 390 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 80 and 390 is 10, so
LCM = (80 × 390) ÷ 10
LCM = 31200 ÷ 10
LCM = 3120
Finding LCM for 80 and 390 by Listing Multiples
The second method to find LCM for numbers 80 and 390 is to list out the common multiples for both nubmers and pick the first which matching:
Multiples of 80: 80, 160, 240, 320, 400, 480, 560, 640, 720, 800, 880, 960, 1040, 1120, 1200, 1280, 1360, 1440, 1520, 1600, 1680, 1760, 1840, 1920, 2000, 2080, 2160, 2240, 2320, 2400, 2480, 2560, 2640, 2720, 2800, 2880, 2960, 3040, 3120, 3200, 3280
Multiples of 390: 390, 780, 1170, 1560, 1950, 2340, 2730, 3120, 3510, 3900
So the LCM for 80 and 390 is 3120
Finding LCM for 80 and 390 by Prime Factorization
Another method to find LCM for numbers 80 and 390 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 80: 2, 2, 2, 2, 5 (exponent form: 24, 51)
All Prime Factors of 390: 2, 3, 5, 13 (exponent form: 21, 31, 51, 131)
24 × 51 × 31 × 131 = 3120
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
LCM Table
Number 1 | Number 2 | LCM |
---|---|---|
65 | 390 | 390 |
66 | 390 | 4290 |
67 | 390 | 26130 |
68 | 390 | 13260 |
69 | 390 | 8970 |
70 | 390 | 2730 |
71 | 390 | 27690 |
72 | 390 | 4680 |
73 | 390 | 28470 |
74 | 390 | 14430 |
75 | 390 | 1950 |
76 | 390 | 14820 |
77 | 390 | 30030 |
78 | 390 | 390 |
79 | 390 | 30810 |
80 | 390 | 3120 |
81 | 390 | 10530 |
82 | 390 | 15990 |
83 | 390 | 32370 |
84 | 390 | 5460 |
85 | 390 | 6630 |
86 | 390 | 16770 |
87 | 390 | 11310 |
88 | 390 | 17160 |
89 | 390 | 34710 |
90 | 390 | 1170 |
91 | 390 | 2730 |
92 | 390 | 17940 |
93 | 390 | 12090 |
94 | 390 | 18330 |
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