Least Common Multiple of 484 and 492

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 492 the smallest integer that is 59532 that is divisible by both numbers.

Least Common Multiple (LCM) of 484 and 492 is 59532.

LCM(484,492) = 59532

LCM of 484 and 492

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

LCM of:
and

Least Common Multiple of 484 and 492

LCM of 484 and 492 is 59532

Least common multiple can be found by multiplying the highest exponent prime factors of 484 and 492. First we will calculate the prime factors of 484 and 492.

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 492


2 492
2 246
3 123
41 41
1

Prime factors of 492 are 2, 3,41. Prime factorization of 492 in exponential form is:

492 = 22×31×411

Now multiplying the highest exponent prime factors to calculate the LCM of 484 and 492.

LCM(484,492) = 22×31×112×411
LCM(484,492) = 59532

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 492

List of positive integer factors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Least Common Multiple of 484 and 492 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 492, than apply into the LCM equation.

GCF(484,492) = 4
LCM(484,492) = ( 484 × 492) / 4
LCM(484,492) = 238128 / 4
LCM(484,492) = 59532

Properties of LCM 484 and 492

(i) The LCM of 492 and 484 is associative

LCM of 484 and 492 = LCM of 492 and 484

Related Least Common Multiples of 484

Related Least Common Multiples of 492

Frequently Asked Questions on LCM of 484 and 492

1. What is the LCM of 484 and 492?

Answer: LCM of 484 and 492 is 59532.

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 492?

Answer: Factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492. There are 12 integers that are factors of 492. The greatest factor of 492 is 492.

4. How to Find the LCM of 484 and 492?

Answer:

Least Common Multiple of 484 and 492 = 59532

Step 1: Find the prime factorization of 484

484 = 2 x 2 x 11 x 11

Step 2: Find the prime factorization of 492

492 = 2 x 2 x 3 x 41

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

LCM = 59532 = 2 x 2 x 3 x 11 x 11 x 41

Step 4: Therefore, the least common multiple of 484 and 492 is 59532.