Least Common Multiple of 487 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 487 and 490 the smallest integer that is 238630 that is divisible by both numbers.

Least Common Multiple (LCM) of 487 and 490 is 238630.

LCM(487,490) = 238630

LCM of 487 and 490

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

LCM of:
and

Least Common Multiple of 487 and 490

LCM of 487 and 490 is 238630

Least common multiple can be found by multiplying the highest exponent prime factors of 487 and 490. First we will calculate the prime factors of 487 and 490.

Prime Factorization of 487


487 487
1

Prime factors of 487 are 487. Prime factorization of 487 in exponential form is:

487 = 4871

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 487 and 490.

LCM(487,490) = 21×51×72×4871
LCM(487,490) = 238630

Factors of 487

List of positive integer factors of 487 that divides 487 without a remainder.

1, 487

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 487 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 487 and 490, than apply into the LCM equation.

GCF(487,490) = 1
LCM(487,490) = ( 487 × 490) / 1
LCM(487,490) = 238630 / 1
LCM(487,490) = 238630

Properties of LCM 487 and 490

(i) The LCM of 490 and 487 is associative

LCM of 487 and 490 = LCM of 490 and 487

Related Least Common Multiples of 487

Related Least Common Multiples of 490

Frequently Asked Questions on LCM of 487 and 490

1. What is the LCM of 487 and 490?

Answer: LCM of 487 and 490 is 238630.

2. What are the Factors of 487?

Answer: Factors of 487 are 1, 487. There are 2 integers that are factors of 487. The greatest factor of 487 is 487.

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 487 and 490?

Answer:

Least Common Multiple of 487 and 490 = 238630

Step 1: Find the prime factorization of 487

487 = 487

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 = 238630 = 2 x 5 x 7 x 7 x 487

Step 4: Therefore, the least common multiple of 487 and 490 is 238630.