Least Common Multiple of 390 and 395
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 390 and 395 the smallest integer that is 30810 that is divisible by both numbers.
Least Common Multiple (LCM) of 390 and 395 is 30810.
LCM(390,395) = 30810
LCM of 390 and 395
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 390 and 395 by Prime method
- Least Common Multiple of 390 and 395 with GCF Formula
LCM of 390 and 395 is 30810
Least common multiple can be found by multiplying the highest exponent prime factors of 390 and 395. First we will calculate the prime factors of 390 and 395.
Prime Factorization of 390
| 2 | 390 |
| 3 | 195 |
| 5 | 65 |
| 13 | 13 |
| 1 |
Prime factors of 390 are 2, 3, 5,13. Prime factorization of 390 in exponential form is:
390 = 21×31×51×131
Prime Factorization of 395
| 5 | 395 |
| 79 | 79 |
| 1 |
Prime factors of 395 are 5,79. Prime factorization of 395 in exponential form is:
395 = 51×791
Now multiplying the highest exponent prime factors to calculate the LCM of 390 and 395.
LCM(390,395) = 21×31×51×131×791
LCM(390,395) = 30810
Factors of 390
List of positive integer factors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Factors of 395
List of positive integer factors of 395 that divides 395 without a remainder.
1, 5, 79, 395
Least Common Multiple of 390 and 395 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 390 and 395, than apply into the LCM equation.
GCF(390,395) = 5
LCM(390,395) = ( 390 × 395) / 5
LCM(390,395) = 154050 / 5
LCM(390,395) = 30810
Properties of LCM 390 and 395
(i) The LCM of 395 and 390 is associative
LCM of 390 and 395 = LCM of 395 and 390
Related Least Common Multiples of 390
Related Least Common Multiples of 395
Frequently Asked Questions on LCM of 390 and 395
1. What is the LCM of 390 and 395?
Answer: LCM of 390 and 395 is 30810.
2. What are the Factors of 390?
Answer: Factors of 390 are 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390. There are 16 integers that are factors of 390. The greatest factor of 390 is 390.
3. What are the Factors of 395?
Answer: Factors of 395 are 1, 5, 79, 395. There are 4 integers that are factors of 395. The greatest factor of 395 is 395.
4. How to Find the LCM of 390 and 395?
Answer:
Least Common Multiple of 390 and 395 = 30810
Step 1: Find the prime factorization of 390
390 = 2 x 3 x 5 x 13
Step 2: Find the prime factorization of 395
395 = 5 x 79
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 30810 = 2 x 3 x 5 x 13 x 79
Step 4: Therefore, the least common multiple of 390 and 395 is 30810.
