Least Common Multiple of 480 and 483

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 483 the smallest integer that is 77280 that is divisible by both numbers.

Least Common Multiple (LCM) of 480 and 483 is 77280.

LCM(480,483) = 77280

LCM of 480 and 483

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

LCM of:
and

Least Common Multiple of 480 and 483

LCM of 480 and 483 is 77280

Least common multiple can be found by multiplying the highest exponent prime factors of 480 and 483. First we will calculate the prime factors of 480 and 483.

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 483


3 483
7 161
23 23
1

Prime factors of 483 are 3, 7,23. Prime factorization of 483 in exponential form is:

483 = 31×71×231

Now multiplying the highest exponent prime factors to calculate the LCM of 480 and 483.

LCM(480,483) = 25×31×51×71×231
LCM(480,483) = 77280

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 483

List of positive integer factors of 483 that divides 483 without a remainder.

1, 3, 7, 21, 23, 69, 161, 483

Least Common Multiple of 480 and 483 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 483, than apply into the LCM equation.

GCF(480,483) = 3
LCM(480,483) = ( 480 × 483) / 3
LCM(480,483) = 231840 / 3
LCM(480,483) = 77280

Properties of LCM 480 and 483

(i) The LCM of 483 and 480 is associative

LCM of 480 and 483 = LCM of 483 and 480

Related Least Common Multiples of 480

Related Least Common Multiples of 483

Frequently Asked Questions on LCM of 480 and 483

1. What is the LCM of 480 and 483?

Answer: LCM of 480 and 483 is 77280.

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 483?

Answer: Factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483. There are 8 integers that are factors of 483. The greatest factor of 483 is 483.

4. How to Find the LCM of 480 and 483?

Answer:

Least Common Multiple of 480 and 483 = 77280

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 483

483 = 3 x 7 x 23

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

LCM = 77280 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 23

Step 4: Therefore, the least common multiple of 480 and 483 is 77280.