Least Common Multiple of 492 and 496

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 492 and 496 the smallest integer that is 61008 that is divisible by both numbers.

Least Common Multiple (LCM) of 492 and 496 is 61008.

LCM(492,496) = 61008

LCM of 492 and 496

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

LCM of:
and

Least Common Multiple of 492 and 496

LCM of 492 and 496 is 61008

Least common multiple can be found by multiplying the highest exponent prime factors of 492 and 496. First we will calculate the prime factors of 492 and 496.

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

Prime Factorization of 496


2 496
2 248
2 124
2 62
31 31
1

Prime factors of 496 are 2,31. Prime factorization of 496 in exponential form is:

496 = 24×311

Now multiplying the highest exponent prime factors to calculate the LCM of 492 and 496.

LCM(492,496) = 24×31×311×411
LCM(492,496) = 61008

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

Factors of 496

List of positive integer factors of 496 that divides 496 without a remainder.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Least Common Multiple of 492 and 496 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 492 and 496, than apply into the LCM equation.

GCF(492,496) = 4
LCM(492,496) = ( 492 × 496) / 4
LCM(492,496) = 244032 / 4
LCM(492,496) = 61008

Properties of LCM 492 and 496

(i) The LCM of 496 and 492 is associative

LCM of 492 and 496 = LCM of 496 and 492

Related Least Common Multiples of 492

Related Least Common Multiples of 496

Frequently Asked Questions on LCM of 492 and 496

1. What is the LCM of 492 and 496?

Answer: LCM of 492 and 496 is 61008.

2. 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.

3. What are the Factors of 496?

Answer: Factors of 496 are 1, 2, 4, 8, 16, 31, 62, 124, 248, 496. There are 10 integers that are factors of 496. The greatest factor of 496 is 496.

4. How to Find the LCM of 492 and 496?

Answer:

Least Common Multiple of 492 and 496 = 61008

Step 1: Find the prime factorization of 492

492 = 2 x 2 x 3 x 41

Step 2: Find the prime factorization of 496

496 = 2 x 2 x 2 x 2 x 31

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

LCM = 61008 = 2 x 2 x 2 x 2 x 3 x 31 x 41

Step 4: Therefore, the least common multiple of 492 and 496 is 61008.