Least Common Multiple of 487 and 494

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 494 the smallest integer that is 240578 that is divisible by both numbers.

Least Common Multiple (LCM) of 487 and 494 is 240578.

LCM(487,494) = 240578

LCM of 487 and 494

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

LCM of:
and

Least Common Multiple of 487 and 494

LCM of 487 and 494 is 240578

Least common multiple can be found by multiplying the highest exponent prime factors of 487 and 494. First we will calculate the prime factors of 487 and 494.

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 494


2 494
13 247
19 19
1

Prime factors of 494 are 2, 13,19. Prime factorization of 494 in exponential form is:

494 = 21×131×191

Now multiplying the highest exponent prime factors to calculate the LCM of 487 and 494.

LCM(487,494) = 21×131×191×4871
LCM(487,494) = 240578

Factors of 487

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

1, 487

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

Least Common Multiple of 487 and 494 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 494, than apply into the LCM equation.

GCF(487,494) = 1
LCM(487,494) = ( 487 × 494) / 1
LCM(487,494) = 240578 / 1
LCM(487,494) = 240578

Properties of LCM 487 and 494

(i) The LCM of 494 and 487 is associative

LCM of 487 and 494 = LCM of 494 and 487

Related Least Common Multiples of 487

Related Least Common Multiples of 494

Frequently Asked Questions on LCM of 487 and 494

1. What is the LCM of 487 and 494?

Answer: LCM of 487 and 494 is 240578.

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 494?

Answer: Factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494. There are 8 integers that are factors of 494. The greatest factor of 494 is 494.

4. How to Find the LCM of 487 and 494?

Answer:

Least Common Multiple of 487 and 494 = 240578

Step 1: Find the prime factorization of 487

487 = 487

Step 2: Find the prime factorization of 494

494 = 2 x 13 x 19

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

LCM = 240578 = 2 x 13 x 19 x 487

Step 4: Therefore, the least common multiple of 487 and 494 is 240578.