Least Common Multiple of 383 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 383 and 390 the smallest integer that is 149370 that is divisible by both numbers.

Least Common Multiple (LCM) of 383 and 390 is 149370.

LCM(383,390) = 149370

LCM of 383 and 390

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

LCM of:
and

Least Common Multiple of 383 and 390

LCM of 383 and 390 is 149370

Least common multiple can be found by multiplying the highest exponent prime factors of 383 and 390. First we will calculate the prime factors of 383 and 390.

Prime Factorization of 383


383 383
1

Prime factors of 383 are 383. Prime factorization of 383 in exponential form is:

383 = 3831

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 383 and 390.

LCM(383,390) = 21×31×51×131×3831
LCM(383,390) = 149370

Factors of 383

List of positive integer factors of 383 that divides 383 without a remainder.

1, 383

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 383 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 383 and 390, than apply into the LCM equation.

GCF(383,390) = 1
LCM(383,390) = ( 383 × 390) / 1
LCM(383,390) = 149370 / 1
LCM(383,390) = 149370

Properties of LCM 383 and 390

(i) The LCM of 390 and 383 is associative

LCM of 383 and 390 = LCM of 390 and 383

Related Least Common Multiples of 383

Related Least Common Multiples of 390

Frequently Asked Questions on LCM of 383 and 390

1. What is the LCM of 383 and 390?

Answer: LCM of 383 and 390 is 149370.

2. What are the Factors of 383?

Answer: Factors of 383 are 1, 383. There are 2 integers that are factors of 383. The greatest factor of 383 is 383.

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 383 and 390?

Answer:

Least Common Multiple of 383 and 390 = 149370

Step 1: Find the prime factorization of 383

383 = 383

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 = 149370 = 2 x 3 x 5 x 13 x 383

Step 4: Therefore, the least common multiple of 383 and 390 is 149370.