Least Common Multiple of 489 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 489 and 492 the smallest integer that is 80196 that is divisible by both numbers.

Least Common Multiple (LCM) of 489 and 492 is 80196.

LCM(489,492) = 80196

LCM of 489 and 492

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

LCM of:
and

Least Common Multiple of 489 and 492

LCM of 489 and 492 is 80196

Least common multiple can be found by multiplying the highest exponent prime factors of 489 and 492. First we will calculate the prime factors of 489 and 492.

Prime Factorization of 489


3 489
163 163
1

Prime factors of 489 are 3,163. Prime factorization of 489 in exponential form is:

489 = 31×1631

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 489 and 492.

LCM(489,492) = 22×31×411×1631
LCM(489,492) = 80196

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1, 3, 163, 489

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 489 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 489 and 492, than apply into the LCM equation.

GCF(489,492) = 3
LCM(489,492) = ( 489 × 492) / 3
LCM(489,492) = 240588 / 3
LCM(489,492) = 80196

Properties of LCM 489 and 492

(i) The LCM of 492 and 489 is associative

LCM of 489 and 492 = LCM of 492 and 489

Related Least Common Multiples of 489

Related Least Common Multiples of 492

Frequently Asked Questions on LCM of 489 and 492

1. What is the LCM of 489 and 492?

Answer: LCM of 489 and 492 is 80196.

2. What are the Factors of 489?

Answer: Factors of 489 are 1, 3, 163, 489. There are 4 integers that are factors of 489. The greatest factor of 489 is 489.

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 489 and 492?

Answer:

Least Common Multiple of 489 and 492 = 80196

Step 1: Find the prime factorization of 489

489 = 3 x 163

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 = 80196 = 2 x 2 x 3 x 41 x 163

Step 4: Therefore, the least common multiple of 489 and 492 is 80196.