Least Common Multiple of 379 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 379 and 385 the smallest integer that is 145915 that is divisible by both numbers.

Least Common Multiple (LCM) of 379 and 385 is 145915.

LCM(379,385) = 145915

LCM of 379 and 385

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

LCM of:
and

Least Common Multiple of 379 and 385

LCM of 379 and 385 is 145915

Least common multiple can be found by multiplying the highest exponent prime factors of 379 and 385. First we will calculate the prime factors of 379 and 385.

Prime Factorization of 379


379 379
1

Prime factors of 379 are 379. Prime factorization of 379 in exponential form is:

379 = 3791

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 379 and 385.

LCM(379,385) = 51×71×111×3791
LCM(379,385) = 145915

Factors of 379

List of positive integer factors of 379 that divides 379 without a remainder.

1, 379

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 379 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 379 and 385, than apply into the LCM equation.

GCF(379,385) = 1
LCM(379,385) = ( 379 × 385) / 1
LCM(379,385) = 145915 / 1
LCM(379,385) = 145915

Properties of LCM 379 and 385

(i) The LCM of 385 and 379 is associative

LCM of 379 and 385 = LCM of 385 and 379

Related Least Common Multiples of 379

Related Least Common Multiples of 385

Frequently Asked Questions on LCM of 379 and 385

1. What is the LCM of 379 and 385?

Answer: LCM of 379 and 385 is 145915.

2. What are the Factors of 379?

Answer: Factors of 379 are 1, 379. There are 2 integers that are factors of 379. The greatest factor of 379 is 379.

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 379 and 385?

Answer:

Least Common Multiple of 379 and 385 = 145915

Step 1: Find the prime factorization of 379

379 = 379

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 = 145915 = 5 x 7 x 11 x 379

Step 4: Therefore, the least common multiple of 379 and 385 is 145915.