Least Common Multiple of 378 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 378 and 385 the smallest integer that is 20790 that is divisible by both numbers.

Least Common Multiple (LCM) of 378 and 385 is 20790.

LCM(378,385) = 20790

LCM of 378 and 385

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

LCM of:
and

Least Common Multiple of 378 and 385

LCM of 378 and 385 is 20790

Least common multiple can be found by multiplying the highest exponent prime factors of 378 and 385. First we will calculate the prime factors of 378 and 385.

Prime Factorization of 378


2 378
3 189
3 63
3 21
7 7
1

Prime factors of 378 are 2, 3,7. Prime factorization of 378 in exponential form is:

378 = 21×33×71

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 378 and 385.

LCM(378,385) = 21×33×51×71×111
LCM(378,385) = 20790

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

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 378 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 378 and 385, than apply into the LCM equation.

GCF(378,385) = 7
LCM(378,385) = ( 378 × 385) / 7
LCM(378,385) = 145530 / 7
LCM(378,385) = 20790

Properties of LCM 378 and 385

(i) The LCM of 385 and 378 is associative

LCM of 378 and 385 = LCM of 385 and 378

Related Least Common Multiples of 378

Related Least Common Multiples of 385

Frequently Asked Questions on LCM of 378 and 385

1. What is the LCM of 378 and 385?

Answer: LCM of 378 and 385 is 20790.

2. What are the Factors of 378?

Answer: Factors of 378 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378. There are 16 integers that are factors of 378. The greatest factor of 378 is 378.

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 378 and 385?

Answer:

Least Common Multiple of 378 and 385 = 20790

Step 1: Find the prime factorization of 378

378 = 2 x 3 x 3 x 3 x 7

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 = 20790 = 2 x 3 x 3 x 3 x 5 x 7 x 11

Step 4: Therefore, the least common multiple of 378 and 385 is 20790.