Least Common Multiple of 380 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 380 and 385 the smallest integer that is 29260 that is divisible by both numbers.

Least Common Multiple (LCM) of 380 and 385 is 29260.

LCM(380,385) = 29260

LCM of 380 and 385

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

LCM of:
and

Least Common Multiple of 380 and 385

LCM of 380 and 385 is 29260

Least common multiple can be found by multiplying the highest exponent prime factors of 380 and 385. First we will calculate the prime factors of 380 and 385.

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 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 380 and 385.

LCM(380,385) = 22×51×71×111×191
LCM(380,385) = 29260

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 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 380 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 380 and 385, than apply into the LCM equation.

GCF(380,385) = 5
LCM(380,385) = ( 380 × 385) / 5
LCM(380,385) = 146300 / 5
LCM(380,385) = 29260

Properties of LCM 380 and 385

(i) The LCM of 385 and 380 is associative

LCM of 380 and 385 = LCM of 385 and 380

Related Least Common Multiples of 380

Related Least Common Multiples of 385

Frequently Asked Questions on LCM of 380 and 385

1. What is the LCM of 380 and 385?

Answer: LCM of 380 and 385 is 29260.

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 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 380 and 385?

Answer:

Least Common Multiple of 380 and 385 = 29260

Step 1: Find the prime factorization of 380

380 = 2 x 2 x 5 x 19

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 = 29260 = 2 x 2 x 5 x 7 x 11 x 19

Step 4: Therefore, the least common multiple of 380 and 385 is 29260.