Least Common Multiple of 490 and 495

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 495 the smallest integer that is 48510 that is divisible by both numbers.

Least Common Multiple (LCM) of 490 and 495 is 48510.

LCM(490,495) = 48510

LCM of 490 and 495

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

LCM of:
and

Least Common Multiple of 490 and 495

LCM of 490 and 495 is 48510

Least common multiple can be found by multiplying the highest exponent prime factors of 490 and 495. First we will calculate the prime factors of 490 and 495.

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 495


3 495
3 165
5 55
11 11
1

Prime factors of 495 are 3, 5,11. Prime factorization of 495 in exponential form is:

495 = 32×51×111

Now multiplying the highest exponent prime factors to calculate the LCM of 490 and 495.

LCM(490,495) = 21×32×51×72×111
LCM(490,495) = 48510

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 495

List of positive integer factors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Least Common Multiple of 490 and 495 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 495, than apply into the LCM equation.

GCF(490,495) = 5
LCM(490,495) = ( 490 × 495) / 5
LCM(490,495) = 242550 / 5
LCM(490,495) = 48510

Properties of LCM 490 and 495

(i) The LCM of 495 and 490 is associative

LCM of 490 and 495 = LCM of 495 and 490

Related Least Common Multiples of 490

Related Least Common Multiples of 495

Frequently Asked Questions on LCM of 490 and 495

1. What is the LCM of 490 and 495?

Answer: LCM of 490 and 495 is 48510.

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 495?

Answer: Factors of 495 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495. There are 12 integers that are factors of 495. The greatest factor of 495 is 495.

4. How to Find the LCM of 490 and 495?

Answer:

Least Common Multiple of 490 and 495 = 48510

Step 1: Find the prime factorization of 490

490 = 2 x 5 x 7 x 7

Step 2: Find the prime factorization of 495

495 = 3 x 3 x 5 x 11

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

LCM = 48510 = 2 x 3 x 3 x 5 x 7 x 7 x 11

Step 4: Therefore, the least common multiple of 490 and 495 is 48510.