Least Common Multiple of 487 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 487 and 492 the smallest integer that is 239604 that is divisible by both numbers.

Least Common Multiple (LCM) of 487 and 492 is 239604.

LCM(487,492) = 239604

LCM of 487 and 492

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

LCM of:
and

Least Common Multiple of 487 and 492

LCM of 487 and 492 is 239604

Least common multiple can be found by multiplying the highest exponent prime factors of 487 and 492. First we will calculate the prime factors of 487 and 492.

Prime Factorization of 487


487 487
1

Prime factors of 487 are 487. Prime factorization of 487 in exponential form is:

487 = 4871

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 487 and 492.

LCM(487,492) = 22×31×411×4871
LCM(487,492) = 239604

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1, 487

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 487 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 487 and 492, than apply into the LCM equation.

GCF(487,492) = 1
LCM(487,492) = ( 487 × 492) / 1
LCM(487,492) = 239604 / 1
LCM(487,492) = 239604

Properties of LCM 487 and 492

(i) The LCM of 492 and 487 is associative

LCM of 487 and 492 = LCM of 492 and 487

Related Least Common Multiples of 487

Related Least Common Multiples of 492

Frequently Asked Questions on LCM of 487 and 492

1. What is the LCM of 487 and 492?

Answer: LCM of 487 and 492 is 239604.

2. What are the Factors of 487?

Answer: Factors of 487 are 1, 487. There are 2 integers that are factors of 487. The greatest factor of 487 is 487.

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 487 and 492?

Answer:

Least Common Multiple of 487 and 492 = 239604

Step 1: Find the prime factorization of 487

487 = 487

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 = 239604 = 2 x 2 x 3 x 41 x 487

Step 4: Therefore, the least common multiple of 487 and 492 is 239604.