Least Common Multiple of 480 and 485

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 485 the smallest integer that is 46560 that is divisible by both numbers.

Least Common Multiple (LCM) of 480 and 485 is 46560.

LCM(480,485) = 46560

LCM of 480 and 485

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

LCM of:
and

Least Common Multiple of 480 and 485

LCM of 480 and 485 is 46560

Least common multiple can be found by multiplying the highest exponent prime factors of 480 and 485. First we will calculate the prime factors of 480 and 485.

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 485


5 485
97 97
1

Prime factors of 485 are 5,97. Prime factorization of 485 in exponential form is:

485 = 51×971

Now multiplying the highest exponent prime factors to calculate the LCM of 480 and 485.

LCM(480,485) = 25×31×51×971
LCM(480,485) = 46560

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 485

List of positive integer factors of 485 that divides 485 without a remainder.

1, 5, 97, 485

Least Common Multiple of 480 and 485 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 485, than apply into the LCM equation.

GCF(480,485) = 5
LCM(480,485) = ( 480 × 485) / 5
LCM(480,485) = 232800 / 5
LCM(480,485) = 46560

Properties of LCM 480 and 485

(i) The LCM of 485 and 480 is associative

LCM of 480 and 485 = LCM of 485 and 480

Related Least Common Multiples of 480

Related Least Common Multiples of 485

Frequently Asked Questions on LCM of 480 and 485

1. What is the LCM of 480 and 485?

Answer: LCM of 480 and 485 is 46560.

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 485?

Answer: Factors of 485 are 1, 5, 97, 485. There are 4 integers that are factors of 485. The greatest factor of 485 is 485.

4. How to Find the LCM of 480 and 485?

Answer:

Least Common Multiple of 480 and 485 = 46560

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 485

485 = 5 x 97

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

LCM = 46560 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 97

Step 4: Therefore, the least common multiple of 480 and 485 is 46560.