Least Common Multiple of 379 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 379 and 384 the smallest integer that is 145536 that is divisible by both numbers.

Least Common Multiple (LCM) of 379 and 384 is 145536.

LCM(379,384) = 145536

LCM of 379 and 384

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

LCM of:
and

Least Common Multiple of 379 and 384

LCM of 379 and 384 is 145536

Least common multiple can be found by multiplying the highest exponent prime factors of 379 and 384. First we will calculate the prime factors of 379 and 384.

Prime Factorization of 379


379 379
1

Prime factors of 379 are 379. Prime factorization of 379 in exponential form is:

379 = 3791

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 379 and 384.

LCM(379,384) = 27×31×3791
LCM(379,384) = 145536

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1, 379

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 379 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 379 and 384, than apply into the LCM equation.

GCF(379,384) = 1
LCM(379,384) = ( 379 × 384) / 1
LCM(379,384) = 145536 / 1
LCM(379,384) = 145536

Properties of LCM 379 and 384

(i) The LCM of 384 and 379 is associative

LCM of 379 and 384 = LCM of 384 and 379

Related Least Common Multiples of 379

Related Least Common Multiples of 384

Frequently Asked Questions on LCM of 379 and 384

1. What is the LCM of 379 and 384?

Answer: LCM of 379 and 384 is 145536.

2. What are the Factors of 379?

Answer: Factors of 379 are 1, 379. There are 2 integers that are factors of 379. The greatest factor of 379 is 379.

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 379 and 384?

Answer:

Least Common Multiple of 379 and 384 = 145536

Step 1: Find the prime factorization of 379

379 = 379

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 = 145536 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 379

Step 4: Therefore, the least common multiple of 379 and 384 is 145536.