Least Common Multiple of 494 and 498

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 494 and 498 the smallest integer that is 123006 that is divisible by both numbers.

Least Common Multiple (LCM) of 494 and 498 is 123006.

LCM(494,498) = 123006

LCM of 494 and 498

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

LCM of:
and

Least Common Multiple of 494 and 498

LCM of 494 and 498 is 123006

Least common multiple can be found by multiplying the highest exponent prime factors of 494 and 498. First we will calculate the prime factors of 494 and 498.

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

Prime Factorization of 498


2 498
3 249
83 83
1

Prime factors of 498 are 2, 3,83. Prime factorization of 498 in exponential form is:

498 = 21×31×831

Now multiplying the highest exponent prime factors to calculate the LCM of 494 and 498.

LCM(494,498) = 21×31×131×191×831
LCM(494,498) = 123006

Factors of 494

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

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

Factors of 498

List of positive integer factors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Least Common Multiple of 494 and 498 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 494 and 498, than apply into the LCM equation.

GCF(494,498) = 2
LCM(494,498) = ( 494 × 498) / 2
LCM(494,498) = 246012 / 2
LCM(494,498) = 123006

Properties of LCM 494 and 498

(i) The LCM of 498 and 494 is associative

LCM of 494 and 498 = LCM of 498 and 494

Related Least Common Multiples of 494

Related Least Common Multiples of 498

Frequently Asked Questions on LCM of 494 and 498

1. What is the LCM of 494 and 498?

Answer: LCM of 494 and 498 is 123006.

2. 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.

3. What are the Factors of 498?

Answer: Factors of 498 are 1, 2, 3, 6, 83, 166, 249, 498. There are 8 integers that are factors of 498. The greatest factor of 498 is 498.

4. How to Find the LCM of 494 and 498?

Answer:

Least Common Multiple of 494 and 498 = 123006

Step 1: Find the prime factorization of 494

494 = 2 x 13 x 19

Step 2: Find the prime factorization of 498

498 = 2 x 3 x 83

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

LCM = 123006 = 2 x 3 x 13 x 19 x 83

Step 4: Therefore, the least common multiple of 494 and 498 is 123006.