Least Common Multiple of 484 and 490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 484 and 490 the smallest integer that is 118580 that is divisible by both numbers.

Least Common Multiple (LCM) of 484 and 490 is 118580.

LCM(484,490) = 118580

LCM of 484 and 490

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

LCM of:
and

Least Common Multiple of 484 and 490

LCM of 484 and 490 is 118580

Least common multiple can be found by multiplying the highest exponent prime factors of 484 and 490. First we will calculate the prime factors of 484 and 490.

Prime Factorization of 484


2 484
2 242
11 121
11 11
1

Prime factors of 484 are 2,11. Prime factorization of 484 in exponential form is:

484 = 22×112

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

Now multiplying the highest exponent prime factors to calculate the LCM of 484 and 490.

LCM(484,490) = 22×51×72×112
LCM(484,490) = 118580

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

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

Least Common Multiple of 484 and 490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 484 and 490, than apply into the LCM equation.

GCF(484,490) = 2
LCM(484,490) = ( 484 × 490) / 2
LCM(484,490) = 237160 / 2
LCM(484,490) = 118580

Properties of LCM 484 and 490

(i) The LCM of 490 and 484 is associative

LCM of 484 and 490 = LCM of 490 and 484

Related Least Common Multiples of 484

Related Least Common Multiples of 490

Frequently Asked Questions on LCM of 484 and 490

1. What is the LCM of 484 and 490?

Answer: LCM of 484 and 490 is 118580.

2. What are the Factors of 484?

Answer: Factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484. There are 9 integers that are factors of 484. The greatest factor of 484 is 484.

3. 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.

4. How to Find the LCM of 484 and 490?

Answer:

Least Common Multiple of 484 and 490 = 118580

Step 1: Find the prime factorization of 484

484 = 2 x 2 x 11 x 11

Step 2: Find the prime factorization of 490

490 = 2 x 5 x 7 x 7

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

LCM = 118580 = 2 x 2 x 5 x 7 x 7 x 11 x 11

Step 4: Therefore, the least common multiple of 484 and 490 is 118580.