Least Common Multiple of 447 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 447 and 450 the smallest integer that is 67050 that is divisible by both numbers.

Least Common Multiple (LCM) of 447 and 450 is 67050.

LCM(447,450) = 67050

LCM of 447 and 450

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

LCM of:
and

Least Common Multiple of 447 and 450

LCM of 447 and 450 is 67050

Least common multiple can be found by multiplying the highest exponent prime factors of 447 and 450. First we will calculate the prime factors of 447 and 450.

Prime Factorization of 447


3 447
149 149
1

Prime factors of 447 are 3,149. Prime factorization of 447 in exponential form is:

447 = 31×1491

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 447 and 450.

LCM(447,450) = 21×32×52×1491
LCM(447,450) = 67050

Factors of 447

List of positive integer factors of 447 that divides 447 without a remainder.

1, 3, 149, 447

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 447 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 447 and 450, than apply into the LCM equation.

GCF(447,450) = 3
LCM(447,450) = ( 447 × 450) / 3
LCM(447,450) = 201150 / 3
LCM(447,450) = 67050

Properties of LCM 447 and 450

(i) The LCM of 450 and 447 is associative

LCM of 447 and 450 = LCM of 450 and 447

Related Least Common Multiples of 447

Related Least Common Multiples of 450

Frequently Asked Questions on LCM of 447 and 450

1. What is the LCM of 447 and 450?

Answer: LCM of 447 and 450 is 67050.

2. What are the Factors of 447?

Answer: Factors of 447 are 1, 3, 149, 447. There are 4 integers that are factors of 447. The greatest factor of 447 is 447.

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 447 and 450?

Answer:

Least Common Multiple of 447 and 450 = 67050

Step 1: Find the prime factorization of 447

447 = 3 x 149

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 = 67050 = 2 x 3 x 3 x 5 x 5 x 149

Step 4: Therefore, the least common multiple of 447 and 450 is 67050.