Least Common Multiple of 483 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 483 and 488 the smallest integer that is 235704 that is divisible by both numbers.

Least Common Multiple (LCM) of 483 and 488 is 235704.

LCM(483,488) = 235704

LCM of 483 and 488

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

LCM of:
and

Least Common Multiple of 483 and 488

LCM of 483 and 488 is 235704

Least common multiple can be found by multiplying the highest exponent prime factors of 483 and 488. First we will calculate the prime factors of 483 and 488.

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

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 483 and 488.

LCM(483,488) = 23×31×71×231×611
LCM(483,488) = 235704

Factors of 483

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

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

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 483 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 483 and 488, than apply into the LCM equation.

GCF(483,488) = 1
LCM(483,488) = ( 483 × 488) / 1
LCM(483,488) = 235704 / 1
LCM(483,488) = 235704

Properties of LCM 483 and 488

(i) The LCM of 488 and 483 is associative

LCM of 483 and 488 = LCM of 488 and 483

Related Least Common Multiples of 483

Related Least Common Multiples of 488

Frequently Asked Questions on LCM of 483 and 488

1. What is the LCM of 483 and 488?

Answer: LCM of 483 and 488 is 235704.

2. 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.

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 483 and 488?

Answer:

Least Common Multiple of 483 and 488 = 235704

Step 1: Find the prime factorization of 483

483 = 3 x 7 x 23

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 = 235704 = 2 x 2 x 2 x 3 x 7 x 23 x 61

Step 4: Therefore, the least common multiple of 483 and 488 is 235704.