Least Common Multiple of 491 and 495

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 491 and 495 the smallest integer that is 243045 that is divisible by both numbers.

Least Common Multiple (LCM) of 491 and 495 is 243045.

LCM(491,495) = 243045

LCM of 491 and 495

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

LCM of:
and

Least Common Multiple of 491 and 495

LCM of 491 and 495 is 243045

Least common multiple can be found by multiplying the highest exponent prime factors of 491 and 495. First we will calculate the prime factors of 491 and 495.

Prime Factorization of 491


491 491
1

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

491 = 4911

Prime Factorization of 495


3 495
3 165
5 55
11 11
1

Prime factors of 495 are 3, 5,11. Prime factorization of 495 in exponential form is:

495 = 32×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 491 and 495.

LCM(491,495) = 32×51×111×4911
LCM(491,495) = 243045

Factors of 491

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

1, 491

Factors of 495

List of positive integer factors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Least Common Multiple of 491 and 495 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 491 and 495, than apply into the LCM equation.

GCF(491,495) = 1
LCM(491,495) = ( 491 × 495) / 1
LCM(491,495) = 243045 / 1
LCM(491,495) = 243045

Properties of LCM 491 and 495

(i) The LCM of 495 and 491 is associative

LCM of 491 and 495 = LCM of 495 and 491

Related Least Common Multiples of 491

Related Least Common Multiples of 495

Frequently Asked Questions on LCM of 491 and 495

1. What is the LCM of 491 and 495?

Answer: LCM of 491 and 495 is 243045.

2. 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.

3. What are the Factors of 495?

Answer: Factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495. There are 12 integers that are factors of 495. The greatest factor of 495 is 495.

4. How to Find the LCM of 491 and 495?

Answer:

Least Common Multiple of 491 and 495 = 243045

Step 1: Find the prime factorization of 491

491 = 491

Step 2: Find the prime factorization of 495

495 = 3 x 3 x 5 x 11

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

LCM = 243045 = 3 x 3 x 5 x 11 x 491

Step 4: Therefore, the least common multiple of 491 and 495 is 243045.