Least Common Multiple of 480 and 484

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 484 the smallest integer that is 58080 that is divisible by both numbers.

Least Common Multiple (LCM) of 480 and 484 is 58080.

LCM(480,484) = 58080

LCM of 480 and 484

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

LCM of:
and

Least Common Multiple of 480 and 484

LCM of 480 and 484 is 58080

Least common multiple can be found by multiplying the highest exponent prime factors of 480 and 484. First we will calculate the prime factors of 480 and 484.

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 484


2 484
2 242
11 121
11 11
1

Prime factors of 484 are 2,11. Prime factorization of 484 in exponential form is:

484 = 22×112

Now multiplying the highest exponent prime factors to calculate the LCM of 480 and 484.

LCM(480,484) = 25×31×51×112
LCM(480,484) = 58080

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 484

List of positive integer factors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Least Common Multiple of 480 and 484 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 484, than apply into the LCM equation.

GCF(480,484) = 4
LCM(480,484) = ( 480 × 484) / 4
LCM(480,484) = 232320 / 4
LCM(480,484) = 58080

Properties of LCM 480 and 484

(i) The LCM of 484 and 480 is associative

LCM of 480 and 484 = LCM of 484 and 480

Related Least Common Multiples of 480

Related Least Common Multiples of 484

Frequently Asked Questions on LCM of 480 and 484

1. What is the LCM of 480 and 484?

Answer: LCM of 480 and 484 is 58080.

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 484?

Answer: Factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484. There are 9 integers that are factors of 484. The greatest factor of 484 is 484.

4. How to Find the LCM of 480 and 484?

Answer:

Least Common Multiple of 480 and 484 = 58080

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 484

484 = 2 x 2 x 11 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 = 58080 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 11

Step 4: Therefore, the least common multiple of 480 and 484 is 58080.