Least Common Multiple of 478 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 478 and 480 the smallest integer that is 114720 that is divisible by both numbers.

Least Common Multiple (LCM) of 478 and 480 is 114720.

LCM(478,480) = 114720

LCM of 478 and 480

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

LCM of:
and

Least Common Multiple of 478 and 480

LCM of 478 and 480 is 114720

Least common multiple can be found by multiplying the highest exponent prime factors of 478 and 480. First we will calculate the prime factors of 478 and 480.

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 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 478 and 480.

LCM(478,480) = 25×31×51×2391
LCM(478,480) = 114720

Factors of 478

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

1, 2, 239, 478

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 478 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 478 and 480, than apply into the LCM equation.

GCF(478,480) = 2
LCM(478,480) = ( 478 × 480) / 2
LCM(478,480) = 229440 / 2
LCM(478,480) = 114720

Properties of LCM 478 and 480

(i) The LCM of 480 and 478 is associative

LCM of 478 and 480 = LCM of 480 and 478

Related Least Common Multiples of 478

Related Least Common Multiples of 480

Frequently Asked Questions on LCM of 478 and 480

1. What is the LCM of 478 and 480?

Answer: LCM of 478 and 480 is 114720.

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 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 478 and 480?

Answer:

Least Common Multiple of 478 and 480 = 114720

Step 1: Find the prime factorization of 478

478 = 2 x 239

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 = 114720 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 239

Step 4: Therefore, the least common multiple of 478 and 480 is 114720.