Least Common Multiple of 492 and 499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 492 and 499 the smallest integer that is 245508 that is divisible by both numbers.

Least Common Multiple (LCM) of 492 and 499 is 245508.

LCM(492,499) = 245508

LCM of 492 and 499

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

LCM of:
and

Least Common Multiple of 492 and 499

LCM of 492 and 499 is 245508

Least common multiple can be found by multiplying the highest exponent prime factors of 492 and 499. First we will calculate the prime factors of 492 and 499.

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

Prime Factorization of 499


499 499
1

Prime factors of 499 are 499. Prime factorization of 499 in exponential form is:

499 = 4991

Now multiplying the highest exponent prime factors to calculate the LCM of 492 and 499.

LCM(492,499) = 22×31×411×4991
LCM(492,499) = 245508

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

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1, 499

Least Common Multiple of 492 and 499 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 492 and 499, than apply into the LCM equation.

GCF(492,499) = 1
LCM(492,499) = ( 492 × 499) / 1
LCM(492,499) = 245508 / 1
LCM(492,499) = 245508

Properties of LCM 492 and 499

(i) The LCM of 499 and 492 is associative

LCM of 492 and 499 = LCM of 499 and 492

Related Least Common Multiples of 492

Related Least Common Multiples of 499

Frequently Asked Questions on LCM of 492 and 499

1. What is the LCM of 492 and 499?

Answer: LCM of 492 and 499 is 245508.

2. 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.

3. What are the Factors of 499?

Answer: Factors of 499 are 1, 499. There are 2 integers that are factors of 499. The greatest factor of 499 is 499.

4. How to Find the LCM of 492 and 499?

Answer:

Least Common Multiple of 492 and 499 = 245508

Step 1: Find the prime factorization of 492

492 = 2 x 2 x 3 x 41

Step 2: Find the prime factorization of 499

499 = 499

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

LCM = 245508 = 2 x 2 x 3 x 41 x 499

Step 4: Therefore, the least common multiple of 492 and 499 is 245508.