Least Common Multiple of 488 and 493

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 493 the smallest integer that is 240584 that is divisible by both numbers.

Least Common Multiple (LCM) of 488 and 493 is 240584.

LCM(488,493) = 240584

LCM of 488 and 493

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

LCM of:
and

Least Common Multiple of 488 and 493

LCM of 488 and 493 is 240584

Least common multiple can be found by multiplying the highest exponent prime factors of 488 and 493. First we will calculate the prime factors of 488 and 493.

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 493


17 493
29 29
1

Prime factors of 493 are 17,29. Prime factorization of 493 in exponential form is:

493 = 171×291

Now multiplying the highest exponent prime factors to calculate the LCM of 488 and 493.

LCM(488,493) = 23×171×291×611
LCM(488,493) = 240584

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 493

List of positive integer factors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Least Common Multiple of 488 and 493 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 493, than apply into the LCM equation.

GCF(488,493) = 1
LCM(488,493) = ( 488 × 493) / 1
LCM(488,493) = 240584 / 1
LCM(488,493) = 240584

Properties of LCM 488 and 493

(i) The LCM of 493 and 488 is associative

LCM of 488 and 493 = LCM of 493 and 488

Related Least Common Multiples of 488

Related Least Common Multiples of 493

Frequently Asked Questions on LCM of 488 and 493

1. What is the LCM of 488 and 493?

Answer: LCM of 488 and 493 is 240584.

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 493?

Answer: Factors of 493 are 1, 17, 29, 493. There are 4 integers that are factors of 493. The greatest factor of 493 is 493.

4. How to Find the LCM of 488 and 493?

Answer:

Least Common Multiple of 488 and 493 = 240584

Step 1: Find the prime factorization of 488

488 = 2 x 2 x 2 x 61

Step 2: Find the prime factorization of 493

493 = 17 x 29

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

LCM = 240584 = 2 x 2 x 2 x 17 x 29 x 61

Step 4: Therefore, the least common multiple of 488 and 493 is 240584.