Least Common Multiple of 385 and 388

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 385 and 388 the smallest integer that is 149380 that is divisible by both numbers.

Least Common Multiple (LCM) of 385 and 388 is 149380.

LCM(385,388) = 149380

LCM of 385 and 388

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

LCM of:
and

Least Common Multiple of 385 and 388

LCM of 385 and 388 is 149380

Least common multiple can be found by multiplying the highest exponent prime factors of 385 and 388. First we will calculate the prime factors of 385 and 388.

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

Prime Factorization of 388


2 388
2 194
97 97
1

Prime factors of 388 are 2,97. Prime factorization of 388 in exponential form is:

388 = 22×971

Now multiplying the highest exponent prime factors to calculate the LCM of 385 and 388.

LCM(385,388) = 22×51×71×111×971
LCM(385,388) = 149380

Factors of 385

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

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

Factors of 388

List of positive integer factors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Least Common Multiple of 385 and 388 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 385 and 388, than apply into the LCM equation.

GCF(385,388) = 1
LCM(385,388) = ( 385 × 388) / 1
LCM(385,388) = 149380 / 1
LCM(385,388) = 149380

Properties of LCM 385 and 388

(i) The LCM of 388 and 385 is associative

LCM of 385 and 388 = LCM of 388 and 385

Related Least Common Multiples of 385

Related Least Common Multiples of 388

Frequently Asked Questions on LCM of 385 and 388

1. What is the LCM of 385 and 388?

Answer: LCM of 385 and 388 is 149380.

2. 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.

3. What are the Factors of 388?

Answer: Factors of 388 are 1, 2, 4, 97, 194, 388. There are 6 integers that are factors of 388. The greatest factor of 388 is 388.

4. How to Find the LCM of 385 and 388?

Answer:

Least Common Multiple of 385 and 388 = 149380

Step 1: Find the prime factorization of 385

385 = 5 x 7 x 11

Step 2: Find the prime factorization of 388

388 = 2 x 2 x 97

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

LCM = 149380 = 2 x 2 x 5 x 7 x 11 x 97

Step 4: Therefore, the least common multiple of 385 and 388 is 149380.