Least Common Multiple of 450 and 457

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 457 the smallest integer that is 205650 that is divisible by both numbers.

Least Common Multiple (LCM) of 450 and 457 is 205650.

LCM(450,457) = 205650

LCM of 450 and 457

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

LCM of:
and

Least Common Multiple of 450 and 457

LCM of 450 and 457 is 205650

Least common multiple can be found by multiplying the highest exponent prime factors of 450 and 457. First we will calculate the prime factors of 450 and 457.

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 457


457 457
1

Prime factors of 457 are 457. Prime factorization of 457 in exponential form is:

457 = 4571

Now multiplying the highest exponent prime factors to calculate the LCM of 450 and 457.

LCM(450,457) = 21×32×52×4571
LCM(450,457) = 205650

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 457

List of positive integer factors of 457 that divides 457 without a remainder.

1, 457

Least Common Multiple of 450 and 457 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 457, than apply into the LCM equation.

GCF(450,457) = 1
LCM(450,457) = ( 450 × 457) / 1
LCM(450,457) = 205650 / 1
LCM(450,457) = 205650

Properties of LCM 450 and 457

(i) The LCM of 457 and 450 is associative

LCM of 450 and 457 = LCM of 457 and 450

Related Least Common Multiples of 450

Related Least Common Multiples of 457

Frequently Asked Questions on LCM of 450 and 457

1. What is the LCM of 450 and 457?

Answer: LCM of 450 and 457 is 205650.

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 457?

Answer: Factors of 457 are 1, 457. There are 2 integers that are factors of 457. The greatest factor of 457 is 457.

4. How to Find the LCM of 450 and 457?

Answer:

Least Common Multiple of 450 and 457 = 205650

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 457

457 = 457

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

LCM = 205650 = 2 x 3 x 3 x 5 x 5 x 457

Step 4: Therefore, the least common multiple of 450 and 457 is 205650.