Least Common Multiple of 484 and 491

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 491 the smallest integer that is 237644 that is divisible by both numbers.

Least Common Multiple (LCM) of 484 and 491 is 237644.

LCM(484,491) = 237644

LCM of 484 and 491

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

LCM of:
and

Least Common Multiple of 484 and 491

LCM of 484 and 491 is 237644

Least common multiple can be found by multiplying the highest exponent prime factors of 484 and 491. First we will calculate the prime factors of 484 and 491.

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 491


491 491
1

Prime factors of 491 are 491. Prime factorization of 491 in exponential form is:

491 = 4911

Now multiplying the highest exponent prime factors to calculate the LCM of 484 and 491.

LCM(484,491) = 22×112×4911
LCM(484,491) = 237644

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 491

List of positive integer factors of 491 that divides 491 without a remainder.

1, 491

Least Common Multiple of 484 and 491 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 491, than apply into the LCM equation.

GCF(484,491) = 1
LCM(484,491) = ( 484 × 491) / 1
LCM(484,491) = 237644 / 1
LCM(484,491) = 237644

Properties of LCM 484 and 491

(i) The LCM of 491 and 484 is associative

LCM of 484 and 491 = LCM of 491 and 484

Related Least Common Multiples of 484

Related Least Common Multiples of 491

Frequently Asked Questions on LCM of 484 and 491

1. What is the LCM of 484 and 491?

Answer: LCM of 484 and 491 is 237644.

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 491?

Answer: Factors of 491 are 1, 491. There are 2 integers that are factors of 491. The greatest factor of 491 is 491.

4. How to Find the LCM of 484 and 491?

Answer:

Least Common Multiple of 484 and 491 = 237644

Step 1: Find the prime factorization of 484

484 = 2 x 2 x 11 x 11

Step 2: Find the prime factorization of 491

491 = 491

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

LCM = 237644 = 2 x 2 x 11 x 11 x 491

Step 4: Therefore, the least common multiple of 484 and 491 is 237644.