Least Common Multiple of 444 and 450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 444 and 450 the smallest integer that is 33300 that is divisible by both numbers.

Least Common Multiple (LCM) of 444 and 450 is 33300.

LCM(444,450) = 33300

LCM of 444 and 450

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

LCM of:
and

Least Common Multiple of 444 and 450

LCM of 444 and 450 is 33300

Least common multiple can be found by multiplying the highest exponent prime factors of 444 and 450. First we will calculate the prime factors of 444 and 450.

Prime Factorization of 444


2 444
2 222
3 111
37 37
1

Prime factors of 444 are 2, 3,37. Prime factorization of 444 in exponential form is:

444 = 22×31×371

Prime Factorization of 450


2 450
3 225
3 75
5 25
5 5
1

Prime factors of 450 are 2, 3,5. Prime factorization of 450 in exponential form is:

450 = 21×32×52

Now multiplying the highest exponent prime factors to calculate the LCM of 444 and 450.

LCM(444,450) = 22×32×52×371
LCM(444,450) = 33300

Factors of 444

List of positive integer factors of 444 that divides 444 without a remainder.

1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Least Common Multiple of 444 and 450 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 444 and 450, than apply into the LCM equation.

GCF(444,450) = 6
LCM(444,450) = ( 444 × 450) / 6
LCM(444,450) = 199800 / 6
LCM(444,450) = 33300

Properties of LCM 444 and 450

(i) The LCM of 450 and 444 is associative

LCM of 444 and 450 = LCM of 450 and 444

Related Least Common Multiples of 444

Related Least Common Multiples of 450

Frequently Asked Questions on LCM of 444 and 450

1. What is the LCM of 444 and 450?

Answer: LCM of 444 and 450 is 33300.

2. What are the Factors of 444?

Answer: Factors of 444 are 1, 2, 3, 4, 6, 12, 37, 74, 111, 148, 222, 444. There are 12 integers that are factors of 444. The greatest factor of 444 is 444.

3. What are the Factors of 450?

Answer: Factors of 450 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450. There are 18 integers that are factors of 450. The greatest factor of 450 is 450.

4. How to Find the LCM of 444 and 450?

Answer:

Least Common Multiple of 444 and 450 = 33300

Step 1: Find the prime factorization of 444

444 = 2 x 2 x 3 x 37

Step 2: Find the prime factorization of 450

450 = 2 x 3 x 3 x 5 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 = 33300 = 2 x 2 x 3 x 3 x 5 x 5 x 37

Step 4: Therefore, the least common multiple of 444 and 450 is 33300.