Least Common Multiple of 494 and 501

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 501 the smallest integer that is 247494 that is divisible by both numbers.

Least Common Multiple (LCM) of 494 and 501 is 247494.

LCM(494,501) = 247494

LCM of 494 and 501

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

LCM of:
and

Least Common Multiple of 494 and 501

LCM of 494 and 501 is 247494

Least common multiple can be found by multiplying the highest exponent prime factors of 494 and 501. First we will calculate the prime factors of 494 and 501.

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 501


3 501
167 167
1

Prime factors of 501 are 3,167. Prime factorization of 501 in exponential form is:

501 = 31×1671

Now multiplying the highest exponent prime factors to calculate the LCM of 494 and 501.

LCM(494,501) = 21×31×131×191×1671
LCM(494,501) = 247494

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 501

List of positive integer factors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Least Common Multiple of 494 and 501 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 501, than apply into the LCM equation.

GCF(494,501) = 1
LCM(494,501) = ( 494 × 501) / 1
LCM(494,501) = 247494 / 1
LCM(494,501) = 247494

Properties of LCM 494 and 501

(i) The LCM of 501 and 494 is associative

LCM of 494 and 501 = LCM of 501 and 494

Related Least Common Multiples of 494

Related Least Common Multiples of 501

Frequently Asked Questions on LCM of 494 and 501

1. What is the LCM of 494 and 501?

Answer: LCM of 494 and 501 is 247494.

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 501?

Answer: Factors of 501 are 1, 3, 167, 501. There are 4 integers that are factors of 501. The greatest factor of 501 is 501.

4. How to Find the LCM of 494 and 501?

Answer:

Least Common Multiple of 494 and 501 = 247494

Step 1: Find the prime factorization of 494

494 = 2 x 13 x 19

Step 2: Find the prime factorization of 501

501 = 3 x 167

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

LCM = 247494 = 2 x 3 x 13 x 19 x 167

Step 4: Therefore, the least common multiple of 494 and 501 is 247494.