Least Common Multiple of 476 and 480

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 480 the smallest integer that is 57120 that is divisible by both numbers.

Least Common Multiple (LCM) of 476 and 480 is 57120.

LCM(476,480) = 57120

LCM of 476 and 480

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

LCM of:
and

Least Common Multiple of 476 and 480

LCM of 476 and 480 is 57120

Least common multiple can be found by multiplying the highest exponent prime factors of 476 and 480. First we will calculate the prime factors of 476 and 480.

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 480


2 480
2 240
2 120
2 60
2 30
3 15
5 5
1

Prime factors of 480 are 2, 3,5. Prime factorization of 480 in exponential form is:

480 = 25×31×51

Now multiplying the highest exponent prime factors to calculate the LCM of 476 and 480.

LCM(476,480) = 25×31×51×71×171
LCM(476,480) = 57120

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 480

List of positive integer factors of 480 that divides 480 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Least Common Multiple of 476 and 480 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 480, than apply into the LCM equation.

GCF(476,480) = 4
LCM(476,480) = ( 476 × 480) / 4
LCM(476,480) = 228480 / 4
LCM(476,480) = 57120

Properties of LCM 476 and 480

(i) The LCM of 480 and 476 is associative

LCM of 476 and 480 = LCM of 480 and 476

Related Least Common Multiples of 476

Related Least Common Multiples of 480

Frequently Asked Questions on LCM of 476 and 480

1. What is the LCM of 476 and 480?

Answer: LCM of 476 and 480 is 57120.

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 480?

Answer: Factors of 480 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480. There are 24 integers that are factors of 480. The greatest factor of 480 is 480.

4. How to Find the LCM of 476 and 480?

Answer:

Least Common Multiple of 476 and 480 = 57120

Step 1: Find the prime factorization of 476

476 = 2 x 2 x 7 x 17

Step 2: Find the prime factorization of 480

480 = 2 x 2 x 2 x 2 x 2 x 3 x 5

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

LCM = 57120 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 7 x 17

Step 4: Therefore, the least common multiple of 476 and 480 is 57120.