Least Common Multiple of 487 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 487 and 495 the smallest integer that is 241065 that is divisible by both numbers.

Least Common Multiple (LCM) of 487 and 495 is 241065.

LCM(487,495) = 241065

LCM of 487 and 495

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

LCM of:
and

Least Common Multiple of 487 and 495

LCM of 487 and 495 is 241065

Least common multiple can be found by multiplying the highest exponent prime factors of 487 and 495. First we will calculate the prime factors of 487 and 495.

Prime Factorization of 487


487 487
1

Prime factors of 487 are 487. Prime factorization of 487 in exponential form is:

487 = 4871

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 487 and 495.

LCM(487,495) = 32×51×111×4871
LCM(487,495) = 241065

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1, 487

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 487 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 487 and 495, than apply into the LCM equation.

GCF(487,495) = 1
LCM(487,495) = ( 487 × 495) / 1
LCM(487,495) = 241065 / 1
LCM(487,495) = 241065

Properties of LCM 487 and 495

(i) The LCM of 495 and 487 is associative

LCM of 487 and 495 = LCM of 495 and 487

Related Least Common Multiples of 487

Related Least Common Multiples of 495

Frequently Asked Questions on LCM of 487 and 495

1. What is the LCM of 487 and 495?

Answer: LCM of 487 and 495 is 241065.

2. What are the Factors of 487?

Answer: Factors of 487 are 1, 487. There are 2 integers that are factors of 487. The greatest factor of 487 is 487.

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 487 and 495?

Answer:

Least Common Multiple of 487 and 495 = 241065

Step 1: Find the prime factorization of 487

487 = 487

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 = 241065 = 3 x 3 x 5 x 11 x 487

Step 4: Therefore, the least common multiple of 487 and 495 is 241065.