Least Common Multiple of 447 and 455
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 447 and 455 the smallest integer that is 203385 that is divisible by both numbers.
Least Common Multiple (LCM) of 447 and 455 is 203385.
LCM(447,455) = 203385
LCM of 447 and 455
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 447 and 455 by Prime method
- Least Common Multiple of 447 and 455 with GCF Formula
LCM of 447 and 455 is 203385
Least common multiple can be found by multiplying the highest exponent prime factors of 447 and 455. First we will calculate the prime factors of 447 and 455.
Prime Factorization of 447
| 3 | 447 |
| 149 | 149 |
| 1 |
Prime factors of 447 are 3,149. Prime factorization of 447 in exponential form is:
447 = 31×1491
Prime Factorization of 455
| 5 | 455 |
| 7 | 91 |
| 13 | 13 |
| 1 |
Prime factors of 455 are 5, 7,13. Prime factorization of 455 in exponential form is:
455 = 51×71×131
Now multiplying the highest exponent prime factors to calculate the LCM of 447 and 455.
LCM(447,455) = 31×51×71×131×1491
LCM(447,455) = 203385
Factors of 447
List of positive integer factors of 447 that divides 447 without a remainder.
1, 3, 149, 447
Factors of 455
List of positive integer factors of 455 that divides 455 without a remainder.
1, 5, 7, 13, 35, 65, 91, 455
Least Common Multiple of 447 and 455 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 447 and 455, than apply into the LCM equation.
GCF(447,455) = 1
LCM(447,455) = ( 447 × 455) / 1
LCM(447,455) = 203385 / 1
LCM(447,455) = 203385
Properties of LCM 447 and 455
(i) The LCM of 455 and 447 is associative
LCM of 447 and 455 = LCM of 455 and 447
Related Least Common Multiples of 447
Related Least Common Multiples of 455
Frequently Asked Questions on LCM of 447 and 455
1. What is the LCM of 447 and 455?
Answer: LCM of 447 and 455 is 203385.
2. What are the Factors of 447?
Answer: Factors of 447 are 1, 3, 149, 447. There are 4 integers that are factors of 447. The greatest factor of 447 is 447.
3. What are the Factors of 455?
Answer: Factors of 455 are 1, 5, 7, 13, 35, 65, 91, 455. There are 8 integers that are factors of 455. The greatest factor of 455 is 455.
4. How to Find the LCM of 447 and 455?
Answer:
Least Common Multiple of 447 and 455 = 203385
Step 1: Find the prime factorization of 447
447 = 3 x 149
Step 2: Find the prime factorization of 455
455 = 5 x 7 x 13
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 203385 = 3 x 5 x 7 x 13 x 149
Step 4: Therefore, the least common multiple of 447 and 455 is 203385.