Least Common Multiple of 385 and 390

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 385 and 390 the smallest integer that is 30030 that is divisible by both numbers.

Least Common Multiple (LCM) of 385 and 390 is 30030.

LCM(385,390) = 30030

LCM of 385 and 390

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 385 and 390

LCM of 385 and 390 is 30030

Least common multiple can be found by multiplying the highest exponent prime factors of 385 and 390. First we will calculate the prime factors of 385 and 390.

Prime Factorization of 385


5 385
7 77
11 11
1

Prime factors of 385 are 5, 7,11. Prime factorization of 385 in exponential form is:

385 = 51×71×111

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

Now multiplying the highest exponent prime factors to calculate the LCM of 385 and 390.

LCM(385,390) = 21×31×51×71×111×131
LCM(385,390) = 30030

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1, 5, 7, 11, 35, 55, 77, 385

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

Least Common Multiple of 385 and 390 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 385 and 390, than apply into the LCM equation.

GCF(385,390) = 5
LCM(385,390) = ( 385 × 390) / 5
LCM(385,390) = 150150 / 5
LCM(385,390) = 30030

Properties of LCM 385 and 390

(i) The LCM of 390 and 385 is associative

LCM of 385 and 390 = LCM of 390 and 385

Related Least Common Multiples of 385

Related Least Common Multiples of 390

Frequently Asked Questions on LCM of 385 and 390

1. What is the LCM of 385 and 390?

Answer: LCM of 385 and 390 is 30030.

2. What are the Factors of 385?

Answer: Factors of 385 are 1, 5, 7, 11, 35, 55, 77, 385. There are 8 integers that are factors of 385. The greatest factor of 385 is 385.

3. 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.

4. How to Find the LCM of 385 and 390?

Answer:

Least Common Multiple of 385 and 390 = 30030

Step 1: Find the prime factorization of 385

385 = 5 x 7 x 11

Step 2: Find the prime factorization of 390

390 = 2 x 3 x 5 x 13

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 30030 = 2 x 3 x 5 x 7 x 11 x 13

Step 4: Therefore, the least common multiple of 385 and 390 is 30030.