Least Common Multiple of 492 and 497

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 497 the smallest integer that is 244524 that is divisible by both numbers.

Least Common Multiple (LCM) of 492 and 497 is 244524.

LCM(492,497) = 244524

LCM of 492 and 497

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

LCM of:
and

Least Common Multiple of 492 and 497

LCM of 492 and 497 is 244524

Least common multiple can be found by multiplying the highest exponent prime factors of 492 and 497. First we will calculate the prime factors of 492 and 497.

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 497


7 497
71 71
1

Prime factors of 497 are 7,71. Prime factorization of 497 in exponential form is:

497 = 71×711

Now multiplying the highest exponent prime factors to calculate the LCM of 492 and 497.

LCM(492,497) = 22×31×71×411×711
LCM(492,497) = 244524

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 497

List of positive integer factors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Least Common Multiple of 492 and 497 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 497, than apply into the LCM equation.

GCF(492,497) = 1
LCM(492,497) = ( 492 × 497) / 1
LCM(492,497) = 244524 / 1
LCM(492,497) = 244524

Properties of LCM 492 and 497

(i) The LCM of 497 and 492 is associative

LCM of 492 and 497 = LCM of 497 and 492

Related Least Common Multiples of 492

Related Least Common Multiples of 497

Frequently Asked Questions on LCM of 492 and 497

1. What is the LCM of 492 and 497?

Answer: LCM of 492 and 497 is 244524.

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 497?

Answer: Factors of 497 are 1, 7, 71, 497. There are 4 integers that are factors of 497. The greatest factor of 497 is 497.

4. How to Find the LCM of 492 and 497?

Answer:

Least Common Multiple of 492 and 497 = 244524

Step 1: Find the prime factorization of 492

492 = 2 x 2 x 3 x 41

Step 2: Find the prime factorization of 497

497 = 7 x 71

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

LCM = 244524 = 2 x 2 x 3 x 7 x 41 x 71

Step 4: Therefore, the least common multiple of 492 and 497 is 244524.