Least Common Multiple of 486 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 486 and 494 the smallest integer that is 120042 that is divisible by both numbers.

Least Common Multiple (LCM) of 486 and 494 is 120042.

LCM(486,494) = 120042

LCM of 486 and 494

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

LCM of:
and

Least Common Multiple of 486 and 494

LCM of 486 and 494 is 120042

Least common multiple can be found by multiplying the highest exponent prime factors of 486 and 494. First we will calculate the prime factors of 486 and 494.

Prime Factorization of 486


2 486
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 486 are 2,3. Prime factorization of 486 in exponential form is:

486 = 21×35

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 486 and 494.

LCM(486,494) = 21×35×131×191
LCM(486,494) = 120042

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

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 486 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 486 and 494, than apply into the LCM equation.

GCF(486,494) = 2
LCM(486,494) = ( 486 × 494) / 2
LCM(486,494) = 240084 / 2
LCM(486,494) = 120042

Properties of LCM 486 and 494

(i) The LCM of 494 and 486 is associative

LCM of 486 and 494 = LCM of 494 and 486

Related Least Common Multiples of 486

Related Least Common Multiples of 494

Frequently Asked Questions on LCM of 486 and 494

1. What is the LCM of 486 and 494?

Answer: LCM of 486 and 494 is 120042.

2. What are the Factors of 486?

Answer: Factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486. There are 12 integers that are factors of 486. The greatest factor of 486 is 486.

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 486 and 494?

Answer:

Least Common Multiple of 486 and 494 = 120042

Step 1: Find the prime factorization of 486

486 = 2 x 3 x 3 x 3 x 3 x 3

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 = 120042 = 2 x 3 x 3 x 3 x 3 x 3 x 13 x 19

Step 4: Therefore, the least common multiple of 486 and 494 is 120042.