Least Common Multiple of 490 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 490 and 494 the smallest integer that is 121030 that is divisible by both numbers.

Least Common Multiple (LCM) of 490 and 494 is 121030.

LCM(490,494) = 121030

LCM of 490 and 494

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

LCM of:
and

Least Common Multiple of 490 and 494

LCM of 490 and 494 is 121030

Least common multiple can be found by multiplying the highest exponent prime factors of 490 and 494. First we will calculate the prime factors of 490 and 494.

Prime Factorization of 490


2 490
5 245
7 49
7 7
1

Prime factors of 490 are 2, 5,7. Prime factorization of 490 in exponential form is:

490 = 21×51×72

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 490 and 494.

LCM(490,494) = 21×51×72×131×191
LCM(490,494) = 121030

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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 490 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 490 and 494, than apply into the LCM equation.

GCF(490,494) = 2
LCM(490,494) = ( 490 × 494) / 2
LCM(490,494) = 242060 / 2
LCM(490,494) = 121030

Properties of LCM 490 and 494

(i) The LCM of 494 and 490 is associative

LCM of 490 and 494 = LCM of 494 and 490

Related Least Common Multiples of 490

Related Least Common Multiples of 494

Frequently Asked Questions on LCM of 490 and 494

1. What is the LCM of 490 and 494?

Answer: LCM of 490 and 494 is 121030.

2. What are the Factors of 490?

Answer: Factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490. There are 12 integers that are factors of 490. The greatest factor of 490 is 490.

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 490 and 494?

Answer:

Least Common Multiple of 490 and 494 = 121030

Step 1: Find the prime factorization of 490

490 = 2 x 5 x 7 x 7

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 = 121030 = 2 x 5 x 7 x 7 x 13 x 19

Step 4: Therefore, the least common multiple of 490 and 494 is 121030.