Least Common Multiple of 480 and 488

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 488 the smallest integer that is 29280 that is divisible by both numbers.

Least Common Multiple (LCM) of 480 and 488 is 29280.

LCM(480,488) = 29280

LCM of 480 and 488

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

LCM of:
and

Least Common Multiple of 480 and 488

LCM of 480 and 488 is 29280

Least common multiple can be found by multiplying the highest exponent prime factors of 480 and 488. First we will calculate the prime factors of 480 and 488.

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 488


2 488
2 244
2 122
61 61
1

Prime factors of 488 are 2,61. Prime factorization of 488 in exponential form is:

488 = 23×611

Now multiplying the highest exponent prime factors to calculate the LCM of 480 and 488.

LCM(480,488) = 25×31×51×611
LCM(480,488) = 29280

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 488

List of positive integer factors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

Least Common Multiple of 480 and 488 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 488, than apply into the LCM equation.

GCF(480,488) = 8
LCM(480,488) = ( 480 × 488) / 8
LCM(480,488) = 234240 / 8
LCM(480,488) = 29280

Properties of LCM 480 and 488

(i) The LCM of 488 and 480 is associative

LCM of 480 and 488 = LCM of 488 and 480

Related Least Common Multiples of 480

Related Least Common Multiples of 488

Frequently Asked Questions on LCM of 480 and 488

1. What is the LCM of 480 and 488?

Answer: LCM of 480 and 488 is 29280.

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 488?

Answer: Factors of 488 are 1, 2, 4, 8, 61, 122, 244, 488. There are 8 integers that are factors of 488. The greatest factor of 488 is 488.

4. How to Find the LCM of 480 and 488?

Answer:

Least Common Multiple of 480 and 488 = 29280

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 488

488 = 2 x 2 x 2 x 61

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

LCM = 29280 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 61

Step 4: Therefore, the least common multiple of 480 and 488 is 29280.