Least Common Multiple of 490 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 490 and 498 the smallest integer that is 122010 that is divisible by both numbers.

Least Common Multiple (LCM) of 490 and 498 is 122010.

LCM(490,498) = 122010

LCM of 490 and 498

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

LCM of:
and

Least Common Multiple of 490 and 498

LCM of 490 and 498 is 122010

Least common multiple can be found by multiplying the highest exponent prime factors of 490 and 498. First we will calculate the prime factors of 490 and 498.

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 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 490 and 498.

LCM(490,498) = 21×31×51×72×831
LCM(490,498) = 122010

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 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 490 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 490 and 498, than apply into the LCM equation.

GCF(490,498) = 2
LCM(490,498) = ( 490 × 498) / 2
LCM(490,498) = 244020 / 2
LCM(490,498) = 122010

Properties of LCM 490 and 498

(i) The LCM of 498 and 490 is associative

LCM of 490 and 498 = LCM of 498 and 490

Related Least Common Multiples of 490

Related Least Common Multiples of 498

Frequently Asked Questions on LCM of 490 and 498

1. What is the LCM of 490 and 498?

Answer: LCM of 490 and 498 is 122010.

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 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 490 and 498?

Answer:

Least Common Multiple of 490 and 498 = 122010

Step 1: Find the prime factorization of 490

490 = 2 x 5 x 7 x 7

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 = 122010 = 2 x 3 x 5 x 7 x 7 x 83

Step 4: Therefore, the least common multiple of 490 and 498 is 122010.