Least Common Multiple of 489 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 489 and 491 the smallest integer that is 240099 that is divisible by both numbers.

Least Common Multiple (LCM) of 489 and 491 is 240099.

LCM(489,491) = 240099

LCM of 489 and 491

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

LCM of:
and

Least Common Multiple of 489 and 491

LCM of 489 and 491 is 240099

Least common multiple can be found by multiplying the highest exponent prime factors of 489 and 491. First we will calculate the prime factors of 489 and 491.

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 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 489 and 491.

LCM(489,491) = 31×1631×4911
LCM(489,491) = 240099

Factors of 489

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

1, 3, 163, 489

Factors of 491

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

1, 491

Least Common Multiple of 489 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 489 and 491, than apply into the LCM equation.

GCF(489,491) = 1
LCM(489,491) = ( 489 × 491) / 1
LCM(489,491) = 240099 / 1
LCM(489,491) = 240099

Properties of LCM 489 and 491

(i) The LCM of 491 and 489 is associative

LCM of 489 and 491 = LCM of 491 and 489

Related Least Common Multiples of 489

Related Least Common Multiples of 491

Frequently Asked Questions on LCM of 489 and 491

1. What is the LCM of 489 and 491?

Answer: LCM of 489 and 491 is 240099.

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 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 489 and 491?

Answer:

Least Common Multiple of 489 and 491 = 240099

Step 1: Find the prime factorization of 489

489 = 3 x 163

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 = 240099 = 3 x 163 x 491

Step 4: Therefore, the least common multiple of 489 and 491 is 240099.