Least Common Multiple of 380 and 384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 380 and 384 the smallest integer that is 36480 that is divisible by both numbers.

Least Common Multiple (LCM) of 380 and 384 is 36480.

LCM(380,384) = 36480

LCM of 380 and 384

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

LCM of:
and

Least Common Multiple of 380 and 384

LCM of 380 and 384 is 36480

Least common multiple can be found by multiplying the highest exponent prime factors of 380 and 384. First we will calculate the prime factors of 380 and 384.

Prime Factorization of 380


2 380
2 190
5 95
19 19
1

Prime factors of 380 are 2, 5,19. Prime factorization of 380 in exponential form is:

380 = 22×51×191

Prime Factorization of 384


2 384
2 192
2 96
2 48
2 24
2 12
2 6
3 3
1

Prime factors of 384 are 2,3. Prime factorization of 384 in exponential form is:

384 = 27×31

Now multiplying the highest exponent prime factors to calculate the LCM of 380 and 384.

LCM(380,384) = 27×31×51×191
LCM(380,384) = 36480

Factors of 380

List of positive integer factors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Least Common Multiple of 380 and 384 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 380 and 384, than apply into the LCM equation.

GCF(380,384) = 4
LCM(380,384) = ( 380 × 384) / 4
LCM(380,384) = 145920 / 4
LCM(380,384) = 36480

Properties of LCM 380 and 384

(i) The LCM of 384 and 380 is associative

LCM of 380 and 384 = LCM of 384 and 380

Related Least Common Multiples of 380

Related Least Common Multiples of 384

Frequently Asked Questions on LCM of 380 and 384

1. What is the LCM of 380 and 384?

Answer: LCM of 380 and 384 is 36480.

2. What are the Factors of 380?

Answer: Factors of 380 are 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380. There are 12 integers that are factors of 380. The greatest factor of 380 is 380.

3. What are the Factors of 384?

Answer: Factors of 384 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384. There are 16 integers that are factors of 384. The greatest factor of 384 is 384.

4. How to Find the LCM of 380 and 384?

Answer:

Least Common Multiple of 380 and 384 = 36480

Step 1: Find the prime factorization of 380

380 = 2 x 2 x 5 x 19

Step 2: Find the prime factorization of 384

384 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

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

LCM = 36480 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 19

Step 4: Therefore, the least common multiple of 380 and 384 is 36480.