Least Common Multiple of 450 and 453
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 453 the smallest integer that is 67950 that is divisible by both numbers.
Least Common Multiple (LCM) of 450 and 453 is 67950.
LCM(450,453) = 67950
LCM of 450 and 453
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 450 and 453 by Prime method
- Least Common Multiple of 450 and 453 with GCF Formula
LCM of 450 and 453 is 67950
Least common multiple can be found by multiplying the highest exponent prime factors of 450 and 453. First we will calculate the prime factors of 450 and 453.
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 453
| 3 | 453 |
| 151 | 151 |
| 1 |
Prime factors of 453 are 3,151. Prime factorization of 453 in exponential form is:
453 = 31×1511
Now multiplying the highest exponent prime factors to calculate the LCM of 450 and 453.
LCM(450,453) = 21×32×52×1511
LCM(450,453) = 67950
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 453
List of positive integer factors of 453 that divides 453 without a remainder.
1, 3, 151, 453
Least Common Multiple of 450 and 453 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 453, than apply into the LCM equation.
GCF(450,453) = 3
LCM(450,453) = ( 450 × 453) / 3
LCM(450,453) = 203850 / 3
LCM(450,453) = 67950
Properties of LCM 450 and 453
(i) The LCM of 453 and 450 is associative
LCM of 450 and 453 = LCM of 453 and 450
Related Least Common Multiples of 450
Related Least Common Multiples of 453
Frequently Asked Questions on LCM of 450 and 453
1. What is the LCM of 450 and 453?
Answer: LCM of 450 and 453 is 67950.
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 453?
Answer: Factors of 453 are 1, 3, 151, 453. There are 4 integers that are factors of 453. The greatest factor of 453 is 453.
4. How to Find the LCM of 450 and 453?
Answer:
Least Common Multiple of 450 and 453 = 67950
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 453
453 = 3 x 151
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 67950 = 2 x 3 x 3 x 5 x 5 x 151
Step 4: Therefore, the least common multiple of 450 and 453 is 67950.
