Least Common Multiple of 486 and 492

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 486 and 492 the smallest integer that is 39852 that is divisible by both numbers.

Least Common Multiple (LCM) of 486 and 492 is 39852.

LCM(486,492) = 39852

LCM of 486 and 492

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

LCM of:
and

Least Common Multiple of 486 and 492

LCM of 486 and 492 is 39852

Least common multiple can be found by multiplying the highest exponent prime factors of 486 and 492. First we will calculate the prime factors of 486 and 492.

Prime Factorization of 486


2 486
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 486 are 2,3. Prime factorization of 486 in exponential form is:

486 = 21×35

Prime Factorization of 492


2 492
2 246
3 123
41 41
1

Prime factors of 492 are 2, 3,41. Prime factorization of 492 in exponential form is:

492 = 22×31×411

Now multiplying the highest exponent prime factors to calculate the LCM of 486 and 492.

LCM(486,492) = 22×35×411
LCM(486,492) = 39852

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Least Common Multiple of 486 and 492 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 486 and 492, than apply into the LCM equation.

GCF(486,492) = 6
LCM(486,492) = ( 486 × 492) / 6
LCM(486,492) = 239112 / 6
LCM(486,492) = 39852

Properties of LCM 486 and 492

(i) The LCM of 492 and 486 is associative

LCM of 486 and 492 = LCM of 492 and 486

Related Least Common Multiples of 486

Related Least Common Multiples of 492

Frequently Asked Questions on LCM of 486 and 492

1. What is the LCM of 486 and 492?

Answer: LCM of 486 and 492 is 39852.

2. What are the Factors of 486?

Answer: Factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486. There are 12 integers that are factors of 486. The greatest factor of 486 is 486.

3. What are the Factors of 492?

Answer: Factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492. There are 12 integers that are factors of 492. The greatest factor of 492 is 492.

4. How to Find the LCM of 486 and 492?

Answer:

Least Common Multiple of 486 and 492 = 39852

Step 1: Find the prime factorization of 486

486 = 2 x 3 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 492

492 = 2 x 2 x 3 x 41

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

LCM = 39852 = 2 x 2 x 3 x 3 x 3 x 3 x 3 x 41

Step 4: Therefore, the least common multiple of 486 and 492 is 39852.