Least Common Multiple of 450 and 451
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 451 the smallest integer that is 202950 that is divisible by both numbers.
Least Common Multiple (LCM) of 450 and 451 is 202950.
LCM(450,451) = 202950
LCM of 450 and 451
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 450 and 451 by Prime method
- Least Common Multiple of 450 and 451 with GCF Formula
LCM of 450 and 451 is 202950
Least common multiple can be found by multiplying the highest exponent prime factors of 450 and 451. First we will calculate the prime factors of 450 and 451.
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 451
| 11 | 451 |
| 41 | 41 |
| 1 |
Prime factors of 451 are 11,41. Prime factorization of 451 in exponential form is:
451 = 111×411
Now multiplying the highest exponent prime factors to calculate the LCM of 450 and 451.
LCM(450,451) = 21×32×52×111×411
LCM(450,451) = 202950
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 451
List of positive integer factors of 451 that divides 451 without a remainder.
1, 11, 41, 451
Least Common Multiple of 450 and 451 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 451, than apply into the LCM equation.
GCF(450,451) = 1
LCM(450,451) = ( 450 × 451) / 1
LCM(450,451) = 202950 / 1
LCM(450,451) = 202950
Properties of LCM 450 and 451
(i) The LCM of 451 and 450 is associative
LCM of 450 and 451 = LCM of 451 and 450
Related Least Common Multiples of 450
Related Least Common Multiples of 451
Frequently Asked Questions on LCM of 450 and 451
1. What is the LCM of 450 and 451?
Answer: LCM of 450 and 451 is 202950.
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 451?
Answer: Factors of 451 are 1, 11, 41, 451. There are 4 integers that are factors of 451. The greatest factor of 451 is 451.
4. How to Find the LCM of 450 and 451?
Answer:
Least Common Multiple of 450 and 451 = 202950
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 451
451 = 11 x 41
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 202950 = 2 x 3 x 3 x 5 x 5 x 11 x 41
Step 4: Therefore, the least common multiple of 450 and 451 is 202950.