Least Common Multiple of 484 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 484 and 485 the smallest integer that is 234740 that is divisible by both numbers.

Least Common Multiple (LCM) of 484 and 485 is 234740.

LCM(484,485) = 234740

LCM of 484 and 485

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

LCM of:
and

Least Common Multiple of 484 and 485

LCM of 484 and 485 is 234740

Least common multiple can be found by multiplying the highest exponent prime factors of 484 and 485. First we will calculate the prime factors of 484 and 485.

Prime Factorization of 484


2 484
2 242
11 121
11 11
1

Prime factors of 484 are 2,11. Prime factorization of 484 in exponential form is:

484 = 22×112

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 484 and 485.

LCM(484,485) = 22×51×112×971
LCM(484,485) = 234740

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

Factors of 485

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

1, 5, 97, 485

Least Common Multiple of 484 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 484 and 485, than apply into the LCM equation.

GCF(484,485) = 1
LCM(484,485) = ( 484 × 485) / 1
LCM(484,485) = 234740 / 1
LCM(484,485) = 234740

Properties of LCM 484 and 485

(i) The LCM of 485 and 484 is associative

LCM of 484 and 485 = LCM of 485 and 484

Related Least Common Multiples of 484

Related Least Common Multiples of 485

Frequently Asked Questions on LCM of 484 and 485

1. What is the LCM of 484 and 485?

Answer: LCM of 484 and 485 is 234740.

2. What are the Factors of 484?

Answer: Factors of 484 are 1, 2, 4, 11, 22, 44, 121, 242, 484. There are 9 integers that are factors of 484. The greatest factor of 484 is 484.

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 484 and 485?

Answer:

Least Common Multiple of 484 and 485 = 234740

Step 1: Find the prime factorization of 484

484 = 2 x 2 x 11 x 11

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 = 234740 = 2 x 2 x 5 x 11 x 11 x 97

Step 4: Therefore, the least common multiple of 484 and 485 is 234740.