Least Common Multiple of 490 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 490 and 496 the smallest integer that is 121520 that is divisible by both numbers.

Least Common Multiple (LCM) of 490 and 496 is 121520.

LCM(490,496) = 121520

LCM of 490 and 496

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

LCM of:
and

Least Common Multiple of 490 and 496

LCM of 490 and 496 is 121520

Least common multiple can be found by multiplying the highest exponent prime factors of 490 and 496. First we will calculate the prime factors of 490 and 496.

Prime Factorization of 490


2 490
5 245
7 49
7 7
1

Prime factors of 490 are 2, 5,7. Prime factorization of 490 in exponential form is:

490 = 21×51×72

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 490 and 496.

LCM(490,496) = 24×51×72×311
LCM(490,496) = 121520

Factors of 490

List of positive integer factors of 490 that divides 490 without a remainder.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

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 490 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 490 and 496, than apply into the LCM equation.

GCF(490,496) = 2
LCM(490,496) = ( 490 × 496) / 2
LCM(490,496) = 243040 / 2
LCM(490,496) = 121520

Properties of LCM 490 and 496

(i) The LCM of 496 and 490 is associative

LCM of 490 and 496 = LCM of 496 and 490

Related Least Common Multiples of 490

Related Least Common Multiples of 496

Frequently Asked Questions on LCM of 490 and 496

1. What is the LCM of 490 and 496?

Answer: LCM of 490 and 496 is 121520.

2. What are the Factors of 490?

Answer: Factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490. There are 12 integers that are factors of 490. The greatest factor of 490 is 490.

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 490 and 496?

Answer:

Least Common Multiple of 490 and 496 = 121520

Step 1: Find the prime factorization of 490

490 = 2 x 5 x 7 x 7

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 = 121520 = 2 x 2 x 2 x 2 x 5 x 7 x 7 x 31

Step 4: Therefore, the least common multiple of 490 and 496 is 121520.