Least Common Multiple of 492 and 500

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 500 the smallest integer that is 61500 that is divisible by both numbers.

Least Common Multiple (LCM) of 492 and 500 is 61500.

LCM(492,500) = 61500

LCM of 492 and 500

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

LCM of:
and

Least Common Multiple of 492 and 500

LCM of 492 and 500 is 61500

Least common multiple can be found by multiplying the highest exponent prime factors of 492 and 500. First we will calculate the prime factors of 492 and 500.

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 500


2 500
2 250
5 125
5 25
5 5
1

Prime factors of 500 are 2,5. Prime factorization of 500 in exponential form is:

500 = 22×53

Now multiplying the highest exponent prime factors to calculate the LCM of 492 and 500.

LCM(492,500) = 22×31×53×411
LCM(492,500) = 61500

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 500

List of positive integer factors of 500 that divides 500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Least Common Multiple of 492 and 500 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 500, than apply into the LCM equation.

GCF(492,500) = 4
LCM(492,500) = ( 492 × 500) / 4
LCM(492,500) = 246000 / 4
LCM(492,500) = 61500

Properties of LCM 492 and 500

(i) The LCM of 500 and 492 is associative

LCM of 492 and 500 = LCM of 500 and 492

Related Least Common Multiples of 492

Related Least Common Multiples of 500

Frequently Asked Questions on LCM of 492 and 500

1. What is the LCM of 492 and 500?

Answer: LCM of 492 and 500 is 61500.

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 500?

Answer: Factors of 500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500. There are 12 integers that are factors of 500. The greatest factor of 500 is 500.

4. How to Find the LCM of 492 and 500?

Answer:

Least Common Multiple of 492 and 500 = 61500

Step 1: Find the prime factorization of 492

492 = 2 x 2 x 3 x 41

Step 2: Find the prime factorization of 500

500 = 2 x 2 x 5 x 5 x 5

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

LCM = 61500 = 2 x 2 x 3 x 5 x 5 x 5 x 41

Step 4: Therefore, the least common multiple of 492 and 500 is 61500.