Least Common Multiple of 450 and 454

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 450 and 454 the smallest integer that is 102150 that is divisible by both numbers.

Least Common Multiple (LCM) of 450 and 454 is 102150.

LCM(450,454) = 102150

LCM of 450 and 454

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

LCM of:
and

Least Common Multiple of 450 and 454

LCM of 450 and 454 is 102150

Least common multiple can be found by multiplying the highest exponent prime factors of 450 and 454. First we will calculate the prime factors of 450 and 454.

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

Prime Factorization of 454


2 454
227 227
1

Prime factors of 454 are 2,227. Prime factorization of 454 in exponential form is:

454 = 21×2271

Now multiplying the highest exponent prime factors to calculate the LCM of 450 and 454.

LCM(450,454) = 21×32×52×2271
LCM(450,454) = 102150

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

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Least Common Multiple of 450 and 454 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 450 and 454, than apply into the LCM equation.

GCF(450,454) = 2
LCM(450,454) = ( 450 × 454) / 2
LCM(450,454) = 204300 / 2
LCM(450,454) = 102150

Properties of LCM 450 and 454

(i) The LCM of 454 and 450 is associative

LCM of 450 and 454 = LCM of 454 and 450

Related Least Common Multiples of 450

Related Least Common Multiples of 454

Frequently Asked Questions on LCM of 450 and 454

1. What is the LCM of 450 and 454?

Answer: LCM of 450 and 454 is 102150.

2. 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.

3. What are the Factors of 454?

Answer: Factors of 454 are 1, 2, 227, 454. There are 4 integers that are factors of 454. The greatest factor of 454 is 454.

4. How to Find the LCM of 450 and 454?

Answer:

Least Common Multiple of 450 and 454 = 102150

Step 1: Find the prime factorization of 450

450 = 2 x 3 x 3 x 5 x 5

Step 2: Find the prime factorization of 454

454 = 2 x 227

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

LCM = 102150 = 2 x 3 x 3 x 5 x 5 x 227

Step 4: Therefore, the least common multiple of 450 and 454 is 102150.