Least Common Multiple of 479 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 479 and 480 the smallest integer that is 229920 that is divisible by both numbers.

Least Common Multiple (LCM) of 479 and 480 is 229920.

LCM(479,480) = 229920

LCM of 479 and 480

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

LCM of:
and

Least Common Multiple of 479 and 480

LCM of 479 and 480 is 229920

Least common multiple can be found by multiplying the highest exponent prime factors of 479 and 480. First we will calculate the prime factors of 479 and 480.

Prime Factorization of 479


479 479
1

Prime factors of 479 are 479. Prime factorization of 479 in exponential form is:

479 = 4791

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 479 and 480.

LCM(479,480) = 25×31×51×4791
LCM(479,480) = 229920

Factors of 479

List of positive integer factors of 479 that divides 479 without a remainder.

1, 479

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 479 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 479 and 480, than apply into the LCM equation.

GCF(479,480) = 1
LCM(479,480) = ( 479 × 480) / 1
LCM(479,480) = 229920 / 1
LCM(479,480) = 229920

Properties of LCM 479 and 480

(i) The LCM of 480 and 479 is associative

LCM of 479 and 480 = LCM of 480 and 479

Related Least Common Multiples of 479

Related Least Common Multiples of 480

Frequently Asked Questions on LCM of 479 and 480

1. What is the LCM of 479 and 480?

Answer: LCM of 479 and 480 is 229920.

2. What are the Factors of 479?

Answer: Factors of 479 are 1, 479. There are 2 integers that are factors of 479. The greatest factor of 479 is 479.

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 479 and 480?

Answer:

Least Common Multiple of 479 and 480 = 229920

Step 1: Find the prime factorization of 479

479 = 479

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 = 229920 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 479

Step 4: Therefore, the least common multiple of 479 and 480 is 229920.