Least Common Multiple of 478 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 478 and 483 the smallest integer that is 230874 that is divisible by both numbers.

Least Common Multiple (LCM) of 478 and 483 is 230874.

LCM(478,483) = 230874

LCM of 478 and 483

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

LCM of:
and

Least Common Multiple of 478 and 483

LCM of 478 and 483 is 230874

Least common multiple can be found by multiplying the highest exponent prime factors of 478 and 483. First we will calculate the prime factors of 478 and 483.

Prime Factorization of 478


2 478
239 239
1

Prime factors of 478 are 2,239. Prime factorization of 478 in exponential form is:

478 = 21×2391

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 478 and 483.

LCM(478,483) = 21×31×71×231×2391
LCM(478,483) = 230874

Factors of 478

List of positive integer factors of 478 that divides 478 without a remainder.

1, 2, 239, 478

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 478 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 478 and 483, than apply into the LCM equation.

GCF(478,483) = 1
LCM(478,483) = ( 478 × 483) / 1
LCM(478,483) = 230874 / 1
LCM(478,483) = 230874

Properties of LCM 478 and 483

(i) The LCM of 483 and 478 is associative

LCM of 478 and 483 = LCM of 483 and 478

Related Least Common Multiples of 478

Related Least Common Multiples of 483

Frequently Asked Questions on LCM of 478 and 483

1. What is the LCM of 478 and 483?

Answer: LCM of 478 and 483 is 230874.

2. What are the Factors of 478?

Answer: Factors of 478 are 1, 2, 239, 478. There are 4 integers that are factors of 478. The greatest factor of 478 is 478.

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 478 and 483?

Answer:

Least Common Multiple of 478 and 483 = 230874

Step 1: Find the prime factorization of 478

478 = 2 x 239

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 = 230874 = 2 x 3 x 7 x 23 x 239

Step 4: Therefore, the least common multiple of 478 and 483 is 230874.