Least Common Multiple of 474 and 481

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 481 the smallest integer that is 227994 that is divisible by both numbers.

Least Common Multiple (LCM) of 474 and 481 is 227994.

LCM(474,481) = 227994

LCM of 474 and 481

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

LCM of:
and

Least Common Multiple of 474 and 481

LCM of 474 and 481 is 227994

Least common multiple can be found by multiplying the highest exponent prime factors of 474 and 481. First we will calculate the prime factors of 474 and 481.

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 481


13 481
37 37
1

Prime factors of 481 are 13,37. Prime factorization of 481 in exponential form is:

481 = 131×371

Now multiplying the highest exponent prime factors to calculate the LCM of 474 and 481.

LCM(474,481) = 21×31×131×371×791
LCM(474,481) = 227994

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 481

List of positive integer factors of 481 that divides 481 without a remainder.

1, 13, 37, 481

Least Common Multiple of 474 and 481 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 481, than apply into the LCM equation.

GCF(474,481) = 1
LCM(474,481) = ( 474 × 481) / 1
LCM(474,481) = 227994 / 1
LCM(474,481) = 227994

Properties of LCM 474 and 481

(i) The LCM of 481 and 474 is associative

LCM of 474 and 481 = LCM of 481 and 474

Related Least Common Multiples of 474

Related Least Common Multiples of 481

Frequently Asked Questions on LCM of 474 and 481

1. What is the LCM of 474 and 481?

Answer: LCM of 474 and 481 is 227994.

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 481?

Answer: Factors of 481 are 1, 13, 37, 481. There are 4 integers that are factors of 481. The greatest factor of 481 is 481.

4. How to Find the LCM of 474 and 481?

Answer:

Least Common Multiple of 474 and 481 = 227994

Step 1: Find the prime factorization of 474

474 = 2 x 3 x 79

Step 2: Find the prime factorization of 481

481 = 13 x 37

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

LCM = 227994 = 2 x 3 x 13 x 37 x 79

Step 4: Therefore, the least common multiple of 474 and 481 is 227994.