Least Common Multiple of 385 and 392

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 392 the smallest integer that is 21560 that is divisible by both numbers.

Least Common Multiple (LCM) of 385 and 392 is 21560.

LCM(385,392) = 21560

LCM of 385 and 392

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

LCM of:
and

Least Common Multiple of 385 and 392

LCM of 385 and 392 is 21560

Least common multiple can be found by multiplying the highest exponent prime factors of 385 and 392. First we will calculate the prime factors of 385 and 392.

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 392


2 392
2 196
2 98
7 49
7 7
1

Prime factors of 392 are 2,7. Prime factorization of 392 in exponential form is:

392 = 23×72

Now multiplying the highest exponent prime factors to calculate the LCM of 385 and 392.

LCM(385,392) = 23×51×72×111
LCM(385,392) = 21560

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 392

List of positive integer factors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Least Common Multiple of 385 and 392 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 392, than apply into the LCM equation.

GCF(385,392) = 7
LCM(385,392) = ( 385 × 392) / 7
LCM(385,392) = 150920 / 7
LCM(385,392) = 21560

Properties of LCM 385 and 392

(i) The LCM of 392 and 385 is associative

LCM of 385 and 392 = LCM of 392 and 385

Related Least Common Multiples of 385

Related Least Common Multiples of 392

Frequently Asked Questions on LCM of 385 and 392

1. What is the LCM of 385 and 392?

Answer: LCM of 385 and 392 is 21560.

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 392?

Answer: Factors of 392 are 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392. There are 12 integers that are factors of 392. The greatest factor of 392 is 392.

4. How to Find the LCM of 385 and 392?

Answer:

Least Common Multiple of 385 and 392 = 21560

Step 1: Find the prime factorization of 385

385 = 5 x 7 x 11

Step 2: Find the prime factorization of 392

392 = 2 x 2 x 2 x 7 x 7

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

LCM = 21560 = 2 x 2 x 2 x 5 x 7 x 7 x 11

Step 4: Therefore, the least common multiple of 385 and 392 is 21560.