Least Common Multiple of 446 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 446 and 450 the smallest integer that is 100350 that is divisible by both numbers.

Least Common Multiple (LCM) of 446 and 450 is 100350.

LCM(446,450) = 100350

LCM of 446 and 450

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

LCM of:
and

Least Common Multiple of 446 and 450

LCM of 446 and 450 is 100350

Least common multiple can be found by multiplying the highest exponent prime factors of 446 and 450. First we will calculate the prime factors of 446 and 450.

Prime Factorization of 446


2 446
223 223
1

Prime factors of 446 are 2,223. Prime factorization of 446 in exponential form is:

446 = 21×2231

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 446 and 450.

LCM(446,450) = 21×32×52×2231
LCM(446,450) = 100350

Factors of 446

List of positive integer factors of 446 that divides 446 without a remainder.

1, 2, 223, 446

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 446 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 446 and 450, than apply into the LCM equation.

GCF(446,450) = 2
LCM(446,450) = ( 446 × 450) / 2
LCM(446,450) = 200700 / 2
LCM(446,450) = 100350

Properties of LCM 446 and 450

(i) The LCM of 450 and 446 is associative

LCM of 446 and 450 = LCM of 450 and 446

Related Least Common Multiples of 446

Related Least Common Multiples of 450

Frequently Asked Questions on LCM of 446 and 450

1. What is the LCM of 446 and 450?

Answer: LCM of 446 and 450 is 100350.

2. What are the Factors of 446?

Answer: Factors of 446 are 1, 2, 223, 446. There are 4 integers that are factors of 446. The greatest factor of 446 is 446.

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 446 and 450?

Answer:

Least Common Multiple of 446 and 450 = 100350

Step 1: Find the prime factorization of 446

446 = 2 x 223

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 = 100350 = 2 x 3 x 3 x 5 x 5 x 223

Step 4: Therefore, the least common multiple of 446 and 450 is 100350.