Least Common Multiple of 478 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 478 and 485 the smallest integer that is 231830 that is divisible by both numbers.

Least Common Multiple (LCM) of 478 and 485 is 231830.

LCM(478,485) = 231830

LCM of 478 and 485

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

LCM of:
and

Least Common Multiple of 478 and 485

LCM of 478 and 485 is 231830

Least common multiple can be found by multiplying the highest exponent prime factors of 478 and 485. First we will calculate the prime factors of 478 and 485.

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 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 478 and 485.

LCM(478,485) = 21×51×971×2391
LCM(478,485) = 231830

Factors of 478

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

1, 2, 239, 478

Factors of 485

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

1, 5, 97, 485

Least Common Multiple of 478 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 478 and 485, than apply into the LCM equation.

GCF(478,485) = 1
LCM(478,485) = ( 478 × 485) / 1
LCM(478,485) = 231830 / 1
LCM(478,485) = 231830

Properties of LCM 478 and 485

(i) The LCM of 485 and 478 is associative

LCM of 478 and 485 = LCM of 485 and 478

Related Least Common Multiples of 478

Related Least Common Multiples of 485

Frequently Asked Questions on LCM of 478 and 485

1. What is the LCM of 478 and 485?

Answer: LCM of 478 and 485 is 231830.

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 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 478 and 485?

Answer:

Least Common Multiple of 478 and 485 = 231830

Step 1: Find the prime factorization of 478

478 = 2 x 239

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 = 231830 = 2 x 5 x 97 x 239

Step 4: Therefore, the least common multiple of 478 and 485 is 231830.