Least Common Multiple of 494 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 494 and 495 the smallest integer that is 244530 that is divisible by both numbers.

Least Common Multiple (LCM) of 494 and 495 is 244530.

LCM(494,495) = 244530

LCM of 494 and 495

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

LCM of:
and

Least Common Multiple of 494 and 495

LCM of 494 and 495 is 244530

Least common multiple can be found by multiplying the highest exponent prime factors of 494 and 495. First we will calculate the prime factors of 494 and 495.

Prime Factorization of 494


2 494
13 247
19 19
1

Prime factors of 494 are 2, 13,19. Prime factorization of 494 in exponential form is:

494 = 21×131×191

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 494 and 495.

LCM(494,495) = 21×32×51×111×131×191
LCM(494,495) = 244530

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1, 2, 13, 19, 26, 38, 247, 494

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 494 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 494 and 495, than apply into the LCM equation.

GCF(494,495) = 1
LCM(494,495) = ( 494 × 495) / 1
LCM(494,495) = 244530 / 1
LCM(494,495) = 244530

Properties of LCM 494 and 495

(i) The LCM of 495 and 494 is associative

LCM of 494 and 495 = LCM of 495 and 494

Related Least Common Multiples of 494

Related Least Common Multiples of 495

Frequently Asked Questions on LCM of 494 and 495

1. What is the LCM of 494 and 495?

Answer: LCM of 494 and 495 is 244530.

2. What are the Factors of 494?

Answer: Factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494. There are 8 integers that are factors of 494. The greatest factor of 494 is 494.

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 494 and 495?

Answer:

Least Common Multiple of 494 and 495 = 244530

Step 1: Find the prime factorization of 494

494 = 2 x 13 x 19

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 = 244530 = 2 x 3 x 3 x 5 x 11 x 13 x 19

Step 4: Therefore, the least common multiple of 494 and 495 is 244530.