Least Common Multiple of 488 and 494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 488 and 494 the smallest integer that is 120536 that is divisible by both numbers.

Least Common Multiple (LCM) of 488 and 494 is 120536.

LCM(488,494) = 120536

LCM of 488 and 494

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

LCM of:
and

Least Common Multiple of 488 and 494

LCM of 488 and 494 is 120536

Least common multiple can be found by multiplying the highest exponent prime factors of 488 and 494. First we will calculate the prime factors of 488 and 494.

Prime Factorization of 488


2 488
2 244
2 122
61 61
1

Prime factors of 488 are 2,61. Prime factorization of 488 in exponential form is:

488 = 23×611

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

Now multiplying the highest exponent prime factors to calculate the LCM of 488 and 494.

LCM(488,494) = 23×131×191×611
LCM(488,494) = 120536

Factors of 488

List of positive integer factors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Factors of 494

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

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

Least Common Multiple of 488 and 494 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 488 and 494, than apply into the LCM equation.

GCF(488,494) = 2
LCM(488,494) = ( 488 × 494) / 2
LCM(488,494) = 241072 / 2
LCM(488,494) = 120536

Properties of LCM 488 and 494

(i) The LCM of 494 and 488 is associative

LCM of 488 and 494 = LCM of 494 and 488

Related Least Common Multiples of 488

Related Least Common Multiples of 494

Frequently Asked Questions on LCM of 488 and 494

1. What is the LCM of 488 and 494?

Answer: LCM of 488 and 494 is 120536.

2. What are the Factors of 488?

Answer: Factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488. There are 8 integers that are factors of 488. The greatest factor of 488 is 488.

3. 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.

4. How to Find the LCM of 488 and 494?

Answer:

Least Common Multiple of 488 and 494 = 120536

Step 1: Find the prime factorization of 488

488 = 2 x 2 x 2 x 61

Step 2: Find the prime factorization of 494

494 = 2 x 13 x 19

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

LCM = 120536 = 2 x 2 x 2 x 13 x 19 x 61

Step 4: Therefore, the least common multiple of 488 and 494 is 120536.