Least Common Multiple of 486 and 490

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 486 and 490 the smallest integer that is 119070 that is divisible by both numbers.

Least Common Multiple (LCM) of 486 and 490 is 119070.

LCM(486,490) = 119070

LCM of 486 and 490

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

LCM of:
and

Least Common Multiple of 486 and 490

LCM of 486 and 490 is 119070

Least common multiple can be found by multiplying the highest exponent prime factors of 486 and 490. First we will calculate the prime factors of 486 and 490.

Prime Factorization of 486


2 486
3 243
3 81
3 27
3 9
3 3
1

Prime factors of 486 are 2,3. Prime factorization of 486 in exponential form is:

486 = 21×35

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

Now multiplying the highest exponent prime factors to calculate the LCM of 486 and 490.

LCM(486,490) = 21×35×51×72
LCM(486,490) = 119070

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

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

Least Common Multiple of 486 and 490 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 486 and 490, than apply into the LCM equation.

GCF(486,490) = 2
LCM(486,490) = ( 486 × 490) / 2
LCM(486,490) = 238140 / 2
LCM(486,490) = 119070

Properties of LCM 486 and 490

(i) The LCM of 490 and 486 is associative

LCM of 486 and 490 = LCM of 490 and 486

Related Least Common Multiples of 486

Related Least Common Multiples of 490

Frequently Asked Questions on LCM of 486 and 490

1. What is the LCM of 486 and 490?

Answer: LCM of 486 and 490 is 119070.

2. What are the Factors of 486?

Answer: Factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486. There are 12 integers that are factors of 486. The greatest factor of 486 is 486.

3. 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.

4. How to Find the LCM of 486 and 490?

Answer:

Least Common Multiple of 486 and 490 = 119070

Step 1: Find the prime factorization of 486

486 = 2 x 3 x 3 x 3 x 3 x 3

Step 2: Find the prime factorization of 490

490 = 2 x 5 x 7 x 7

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

LCM = 119070 = 2 x 3 x 3 x 3 x 3 x 3 x 5 x 7 x 7

Step 4: Therefore, the least common multiple of 486 and 490 is 119070.