LCM for 10 and 380
What's the Least Common Multiple (LCM) of 10 and 380?
Answer
(Three hundred eighty)
Finding LCM for 10 and 380 using GCF of these numbers
The first method to find LCM for numbers 10 and 380 is to find Greatest Common Factor (GCF) of these numbers. Here's the formula:
LCM = (Number1 × Number2) ÷ GCF
GCF of numbers 10 and 380 is 10, so
LCM = (10 × 380) ÷ 10
LCM = 3800 ÷ 10
LCM = 380
Finding LCM for 10 and 380 by Listing Multiples
The second method to find LCM for numbers 10 and 380 is to list out the common multiples for both numbers and pick the first one that matches:
Multiples of 10: 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200, 210, 220, 230, 240, 250, 260, 270, 280, 290, 300, 310, 320, 330, 340, 350, 360, 370, 380, 390, 400
Multiples of 380: 380, 760, 1140
So the LCM for 10 and 380 is 380
Finding LCM for 10 and 380 by Prime Factorization
Another method to find LCM for numbers 10 and 380 is to list all Prime Factors for both numbers and multiply the highest exponent prime factors:
All Prime Factors of 10: 2, 5 (exponent form: 21, 51)
All Prime Factors of 380: 2, 2, 5, 19 (exponent form: 22, 51, 191)
22 × 51 × 191 = 380
Related Calculations
See Also
- Greatest Common Factor - Find the Greatest Common Factor (GCF) of two numbers
<a href="https://calculat.io/en/number/least-common-multiple-lcm-of/10--380">What is the LCM of 10 and 380? - Calculatio</a>
LCM Table
| Number 1 | Number 2 | LCM |
|---|---|---|
| 1 | 380 | 380 |
| 2 | 380 | 380 |
| 3 | 380 | 1140 |
| 4 | 380 | 380 |
| 5 | 380 | 380 |
| 6 | 380 | 1140 |
| 7 | 380 | 2660 |
| 8 | 380 | 760 |
| 9 | 380 | 3420 |
| 10 | 380 | 380 |
| 11 | 380 | 4180 |
| 12 | 380 | 1140 |
| 13 | 380 | 4940 |
| 14 | 380 | 2660 |
| 15 | 380 | 1140 |
| 16 | 380 | 1520 |
| 17 | 380 | 6460 |
| 18 | 380 | 3420 |
| 19 | 380 | 380 |
| 20 | 380 | 380 |
| 21 | 380 | 7980 |
| 22 | 380 | 4180 |
| 23 | 380 | 8740 |
| 24 | 380 | 2280 |
| 25 | 380 | 1900 |
| 26 | 380 | 4940 |
| 27 | 380 | 10260 |
| 28 | 380 | 2660 |
| 29 | 380 | 11020 |
| 30 | 380 | 1140 |
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