Least Common Multiple of 380 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 380 and 387 the smallest integer that is 147060 that is divisible by both numbers.

Least Common Multiple (LCM) of 380 and 387 is 147060.

LCM(380,387) = 147060

LCM of 380 and 387

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

LCM of:
and

Least Common Multiple of 380 and 387

LCM of 380 and 387 is 147060

Least common multiple can be found by multiplying the highest exponent prime factors of 380 and 387. First we will calculate the prime factors of 380 and 387.

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 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 380 and 387.

LCM(380,387) = 22×32×51×191×431
LCM(380,387) = 147060

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 387

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

1, 3, 9, 43, 129, 387

Least Common Multiple of 380 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 380 and 387, than apply into the LCM equation.

GCF(380,387) = 1
LCM(380,387) = ( 380 × 387) / 1
LCM(380,387) = 147060 / 1
LCM(380,387) = 147060

Properties of LCM 380 and 387

(i) The LCM of 387 and 380 is associative

LCM of 380 and 387 = LCM of 387 and 380

Related Least Common Multiples of 380

Related Least Common Multiples of 387

Frequently Asked Questions on LCM of 380 and 387

1. What is the LCM of 380 and 387?

Answer: LCM of 380 and 387 is 147060.

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 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 380 and 387?

Answer:

Least Common Multiple of 380 and 387 = 147060

Step 1: Find the prime factorization of 380

380 = 2 x 2 x 5 x 19

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 = 147060 = 2 x 2 x 3 x 3 x 5 x 19 x 43

Step 4: Therefore, the least common multiple of 380 and 387 is 147060.