Least Common Multiple of 384 and 385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 384 and 385 the smallest integer that is 147840 that is divisible by both numbers.

Least Common Multiple (LCM) of 384 and 385 is 147840.

LCM(384,385) = 147840

LCM of 384 and 385

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

LCM of:
and

Least Common Multiple of 384 and 385

LCM of 384 and 385 is 147840

Least common multiple can be found by multiplying the highest exponent prime factors of 384 and 385. First we will calculate the prime factors of 384 and 385.

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

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

Now multiplying the highest exponent prime factors to calculate the LCM of 384 and 385.

LCM(384,385) = 27×31×51×71×111
LCM(384,385) = 147840

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

Factors of 385

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

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

Least Common Multiple of 384 and 385 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 384 and 385, than apply into the LCM equation.

GCF(384,385) = 1
LCM(384,385) = ( 384 × 385) / 1
LCM(384,385) = 147840 / 1
LCM(384,385) = 147840

Properties of LCM 384 and 385

(i) The LCM of 385 and 384 is associative

LCM of 384 and 385 = LCM of 385 and 384

Related Least Common Multiples of 384

Related Least Common Multiples of 385

Frequently Asked Questions on LCM of 384 and 385

1. What is the LCM of 384 and 385?

Answer: LCM of 384 and 385 is 147840.

2. 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.

3. 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.

4. How to Find the LCM of 384 and 385?

Answer:

Least Common Multiple of 384 and 385 = 147840

Step 1: Find the prime factorization of 384

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

Step 2: Find the prime factorization of 385

385 = 5 x 7 x 11

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

LCM = 147840 = 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 11

Step 4: Therefore, the least common multiple of 384 and 385 is 147840.