Least Common Multiple of 385 and 387

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 387 the smallest integer that is 148995 that is divisible by both numbers.

Least Common Multiple (LCM) of 385 and 387 is 148995.

LCM(385,387) = 148995

LCM of 385 and 387

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

LCM of:
and

Least Common Multiple of 385 and 387

LCM of 385 and 387 is 148995

Least common multiple can be found by multiplying the highest exponent prime factors of 385 and 387. First we will calculate the prime factors of 385 and 387.

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 387


3 387
3 129
43 43
1

Prime factors of 387 are 3,43. Prime factorization of 387 in exponential form is:

387 = 32×431

Now multiplying the highest exponent prime factors to calculate the LCM of 385 and 387.

LCM(385,387) = 32×51×71×111×431
LCM(385,387) = 148995

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 387

List of positive integer factors of 387 that divides 387 without a remainder.

1, 3, 9, 43, 129, 387

Least Common Multiple of 385 and 387 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 387, than apply into the LCM equation.

GCF(385,387) = 1
LCM(385,387) = ( 385 × 387) / 1
LCM(385,387) = 148995 / 1
LCM(385,387) = 148995

Properties of LCM 385 and 387

(i) The LCM of 387 and 385 is associative

LCM of 385 and 387 = LCM of 387 and 385

Related Least Common Multiples of 385

Related Least Common Multiples of 387

Frequently Asked Questions on LCM of 385 and 387

1. What is the LCM of 385 and 387?

Answer: LCM of 385 and 387 is 148995.

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 387?

Answer: Factors of 387 are 1, 3, 9, 43, 129, 387. There are 6 integers that are factors of 387. The greatest factor of 387 is 387.

4. How to Find the LCM of 385 and 387?

Answer:

Least Common Multiple of 385 and 387 = 148995

Step 1: Find the prime factorization of 385

385 = 5 x 7 x 11

Step 2: Find the prime factorization of 387

387 = 3 x 3 x 43

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

LCM = 148995 = 3 x 3 x 5 x 7 x 11 x 43

Step 4: Therefore, the least common multiple of 385 and 387 is 148995.