Least Common Multiple of 476 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 476 and 483 the smallest integer that is 32844 that is divisible by both numbers.

Least Common Multiple (LCM) of 476 and 483 is 32844.

LCM(476,483) = 32844

LCM of 476 and 483

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

LCM of:
and

Least Common Multiple of 476 and 483

LCM of 476 and 483 is 32844

Least common multiple can be found by multiplying the highest exponent prime factors of 476 and 483. First we will calculate the prime factors of 476 and 483.

Prime Factorization of 476


2 476
2 238
7 119
17 17
1

Prime factors of 476 are 2, 7,17. Prime factorization of 476 in exponential form is:

476 = 22×71×171

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 476 and 483.

LCM(476,483) = 22×31×71×171×231
LCM(476,483) = 32844

Factors of 476

List of positive integer factors of 476 that divides 476 without a remainder.

1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476

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 476 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 476 and 483, than apply into the LCM equation.

GCF(476,483) = 7
LCM(476,483) = ( 476 × 483) / 7
LCM(476,483) = 229908 / 7
LCM(476,483) = 32844

Properties of LCM 476 and 483

(i) The LCM of 483 and 476 is associative

LCM of 476 and 483 = LCM of 483 and 476

Related Least Common Multiples of 476

Related Least Common Multiples of 483

Frequently Asked Questions on LCM of 476 and 483

1. What is the LCM of 476 and 483?

Answer: LCM of 476 and 483 is 32844.

2. What are the Factors of 476?

Answer: Factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476. There are 12 integers that are factors of 476. The greatest factor of 476 is 476.

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 476 and 483?

Answer:

Least Common Multiple of 476 and 483 = 32844

Step 1: Find the prime factorization of 476

476 = 2 x 2 x 7 x 17

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 = 32844 = 2 x 2 x 3 x 7 x 17 x 23

Step 4: Therefore, the least common multiple of 476 and 483 is 32844.