Least Common Multiple of 480 and 487

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 480 and 487 the smallest integer that is 233760 that is divisible by both numbers.

Least Common Multiple (LCM) of 480 and 487 is 233760.

LCM(480,487) = 233760

LCM of 480 and 487

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

LCM of:
and

Least Common Multiple of 480 and 487

LCM of 480 and 487 is 233760

Least common multiple can be found by multiplying the highest exponent prime factors of 480 and 487. First we will calculate the prime factors of 480 and 487.

Prime Factorization of 480


2 480
2 240
2 120
2 60
2 30
3 15
5 5
1

Prime factors of 480 are 2, 3,5. Prime factorization of 480 in exponential form is:

480 = 25×31×51

Prime Factorization of 487


487 487
1

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

487 = 4871

Now multiplying the highest exponent prime factors to calculate the LCM of 480 and 487.

LCM(480,487) = 25×31×51×4871
LCM(480,487) = 233760

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Factors of 487

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

1, 487

Least Common Multiple of 480 and 487 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 480 and 487, than apply into the LCM equation.

GCF(480,487) = 1
LCM(480,487) = ( 480 × 487) / 1
LCM(480,487) = 233760 / 1
LCM(480,487) = 233760

Properties of LCM 480 and 487

(i) The LCM of 487 and 480 is associative

LCM of 480 and 487 = LCM of 487 and 480

Related Least Common Multiples of 480

Related Least Common Multiples of 487

Frequently Asked Questions on LCM of 480 and 487

1. What is the LCM of 480 and 487?

Answer: LCM of 480 and 487 is 233760.

2. What are the Factors of 480?

Answer: Factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480. There are 24 integers that are factors of 480. The greatest factor of 480 is 480.

3. 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.

4. How to Find the LCM of 480 and 487?

Answer:

Least Common Multiple of 480 and 487 = 233760

Step 1: Find the prime factorization of 480

480 = 2 x 2 x 2 x 2 x 2 x 3 x 5

Step 2: Find the prime factorization of 487

487 = 487

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

LCM = 233760 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 487

Step 4: Therefore, the least common multiple of 480 and 487 is 233760.