Least Common Multiple of 443 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 443 and 450 the smallest integer that is 199350 that is divisible by both numbers.
Least Common Multiple (LCM) of 443 and 450 is 199350.
LCM(443,450) = 199350
LCM of 443 and 450
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 443 and 450 by Prime method
- Least Common Multiple of 443 and 450 with GCF Formula
LCM of 443 and 450 is 199350
Least common multiple can be found by multiplying the highest exponent prime factors of 443 and 450. First we will calculate the prime factors of 443 and 450.
Prime Factorization of 443
| 443 | 443 |
| 1 |
Prime factors of 443 are 443. Prime factorization of 443 in exponential form is:
443 = 4431
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 443 and 450.
LCM(443,450) = 21×32×52×4431
LCM(443,450) = 199350
Factors of 443
List of positive integer factors of 443 that divides 443 without a remainder.
1, 443
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 443 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 443 and 450, than apply into the LCM equation.
GCF(443,450) = 1
LCM(443,450) = ( 443 × 450) / 1
LCM(443,450) = 199350 / 1
LCM(443,450) = 199350
Properties of LCM 443 and 450
(i) The LCM of 450 and 443 is associative
LCM of 443 and 450 = LCM of 450 and 443
Related Least Common Multiples of 443
Related Least Common Multiples of 450
Frequently Asked Questions on LCM of 443 and 450
1. What is the LCM of 443 and 450?
Answer: LCM of 443 and 450 is 199350.
2. What are the Factors of 443?
Answer: Factors of 443 are 1, 443. There are 2 integers that are factors of 443. The greatest factor of 443 is 443.
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 443 and 450?
Answer:
Least Common Multiple of 443 and 450 = 199350
Step 1: Find the prime factorization of 443
443 = 443
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 = 199350 = 2 x 3 x 3 x 5 x 5 x 443
Step 4: Therefore, the least common multiple of 443 and 450 is 199350.
