Least Common Multiple of 474 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 474 and 480 the smallest integer that is 37920 that is divisible by both numbers.

Least Common Multiple (LCM) of 474 and 480 is 37920.

LCM(474,480) = 37920

LCM of 474 and 480

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

LCM of:
and

Least Common Multiple of 474 and 480

LCM of 474 and 480 is 37920

Least common multiple can be found by multiplying the highest exponent prime factors of 474 and 480. First we will calculate the prime factors of 474 and 480.

Prime Factorization of 474


2 474
3 237
79 79
1

Prime factors of 474 are 2, 3,79. Prime factorization of 474 in exponential form is:

474 = 21×31×791

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 474 and 480.

LCM(474,480) = 25×31×51×791
LCM(474,480) = 37920

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

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 474 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 474 and 480, than apply into the LCM equation.

GCF(474,480) = 6
LCM(474,480) = ( 474 × 480) / 6
LCM(474,480) = 227520 / 6
LCM(474,480) = 37920

Properties of LCM 474 and 480

(i) The LCM of 480 and 474 is associative

LCM of 474 and 480 = LCM of 480 and 474

Related Least Common Multiples of 474

Related Least Common Multiples of 480

Frequently Asked Questions on LCM of 474 and 480

1. What is the LCM of 474 and 480?

Answer: LCM of 474 and 480 is 37920.

2. What are the Factors of 474?

Answer: Factors of 474 are 1, 2, 3, 6, 79, 158, 237, 474. There are 8 integers that are factors of 474. The greatest factor of 474 is 474.

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 474 and 480?

Answer:

Least Common Multiple of 474 and 480 = 37920

Step 1: Find the prime factorization of 474

474 = 2 x 3 x 79

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 = 37920 = 2 x 2 x 2 x 2 x 2 x 3 x 5 x 79

Step 4: Therefore, the least common multiple of 474 and 480 is 37920.