Least Common Multiple of 488 and 492

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 492 the smallest integer that is 60024 that is divisible by both numbers.

Least Common Multiple (LCM) of 488 and 492 is 60024.

LCM(488,492) = 60024

LCM of 488 and 492

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

LCM of:
and

Least Common Multiple of 488 and 492

LCM of 488 and 492 is 60024

Least common multiple can be found by multiplying the highest exponent prime factors of 488 and 492. First we will calculate the prime factors of 488 and 492.

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 492


2 492
2 246
3 123
41 41
1

Prime factors of 492 are 2, 3,41. Prime factorization of 492 in exponential form is:

492 = 22×31×411

Now multiplying the highest exponent prime factors to calculate the LCM of 488 and 492.

LCM(488,492) = 23×31×411×611
LCM(488,492) = 60024

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 492

List of positive integer factors of 492 that divides 492 without a remainder.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Least Common Multiple of 488 and 492 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 492, than apply into the LCM equation.

GCF(488,492) = 4
LCM(488,492) = ( 488 × 492) / 4
LCM(488,492) = 240096 / 4
LCM(488,492) = 60024

Properties of LCM 488 and 492

(i) The LCM of 492 and 488 is associative

LCM of 488 and 492 = LCM of 492 and 488

Related Least Common Multiples of 488

Related Least Common Multiples of 492

Frequently Asked Questions on LCM of 488 and 492

1. What is the LCM of 488 and 492?

Answer: LCM of 488 and 492 is 60024.

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 492?

Answer: Factors of 492 are 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492. There are 12 integers that are factors of 492. The greatest factor of 492 is 492.

4. How to Find the LCM of 488 and 492?

Answer:

Least Common Multiple of 488 and 492 = 60024

Step 1: Find the prime factorization of 488

488 = 2 x 2 x 2 x 61

Step 2: Find the prime factorization of 492

492 = 2 x 2 x 3 x 41

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

LCM = 60024 = 2 x 2 x 2 x 3 x 41 x 61

Step 4: Therefore, the least common multiple of 488 and 492 is 60024.