Least Common Multiple of 490 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 490 and 492 the smallest integer that is 120540 that is divisible by both numbers.

Least Common Multiple (LCM) of 490 and 492 is 120540.

LCM(490,492) = 120540

LCM of 490 and 492

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

LCM of:
and

Least Common Multiple of 490 and 492

LCM of 490 and 492 is 120540

Least common multiple can be found by multiplying the highest exponent prime factors of 490 and 492. First we will calculate the prime factors of 490 and 492.

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 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 490 and 492.

LCM(490,492) = 22×31×51×72×411
LCM(490,492) = 120540

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 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 490 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 490 and 492, than apply into the LCM equation.

GCF(490,492) = 2
LCM(490,492) = ( 490 × 492) / 2
LCM(490,492) = 241080 / 2
LCM(490,492) = 120540

Properties of LCM 490 and 492

(i) The LCM of 492 and 490 is associative

LCM of 490 and 492 = LCM of 492 and 490

Related Least Common Multiples of 490

Related Least Common Multiples of 492

Frequently Asked Questions on LCM of 490 and 492

1. What is the LCM of 490 and 492?

Answer: LCM of 490 and 492 is 120540.

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 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 490 and 492?

Answer:

Least Common Multiple of 490 and 492 = 120540

Step 1: Find the prime factorization of 490

490 = 2 x 5 x 7 x 7

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 = 120540 = 2 x 2 x 3 x 5 x 7 x 7 x 41

Step 4: Therefore, the least common multiple of 490 and 492 is 120540.