Least Common Multiple of 477 and 484

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 477 and 484 the smallest integer that is 230868 that is divisible by both numbers.

Least Common Multiple (LCM) of 477 and 484 is 230868.

LCM(477,484) = 230868

LCM of 477 and 484

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

LCM of:
and

Least Common Multiple of 477 and 484

LCM of 477 and 484 is 230868

Least common multiple can be found by multiplying the highest exponent prime factors of 477 and 484. First we will calculate the prime factors of 477 and 484.

Prime Factorization of 477


3 477
3 159
53 53
1

Prime factors of 477 are 3,53. Prime factorization of 477 in exponential form is:

477 = 32×531

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

Now multiplying the highest exponent prime factors to calculate the LCM of 477 and 484.

LCM(477,484) = 22×32×112×531
LCM(477,484) = 230868

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1, 3, 9, 53, 159, 477

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

Least Common Multiple of 477 and 484 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 477 and 484, than apply into the LCM equation.

GCF(477,484) = 1
LCM(477,484) = ( 477 × 484) / 1
LCM(477,484) = 230868 / 1
LCM(477,484) = 230868

Properties of LCM 477 and 484

(i) The LCM of 484 and 477 is associative

LCM of 477 and 484 = LCM of 484 and 477

Related Least Common Multiples of 477

Related Least Common Multiples of 484

Frequently Asked Questions on LCM of 477 and 484

1. What is the LCM of 477 and 484?

Answer: LCM of 477 and 484 is 230868.

2. What are the Factors of 477?

Answer: Factors of 477 are 1, 3, 9, 53, 159, 477. There are 6 integers that are factors of 477. The greatest factor of 477 is 477.

3. 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.

4. How to Find the LCM of 477 and 484?

Answer:

Least Common Multiple of 477 and 484 = 230868

Step 1: Find the prime factorization of 477

477 = 3 x 3 x 53

Step 2: Find the prime factorization of 484

484 = 2 x 2 x 11 x 11

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 230868 = 2 x 2 x 3 x 3 x 11 x 11 x 53

Step 4: Therefore, the least common multiple of 477 and 484 is 230868.