Least Common Multiple of 481 and 485
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 481 and 485 the smallest integer that is 233285 that is divisible by both numbers.
Least Common Multiple (LCM) of 481 and 485 is 233285.
LCM(481,485) = 233285
LCM of 481 and 485
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 481 and 485 by Prime method
- Least Common Multiple of 481 and 485 with GCF Formula
LCM of 481 and 485 is 233285
Least common multiple can be found by multiplying the highest exponent prime factors of 481 and 485. First we will calculate the prime factors of 481 and 485.
Prime Factorization of 481
| 13 | 481 |
| 37 | 37 |
| 1 |
Prime factors of 481 are 13,37. Prime factorization of 481 in exponential form is:
481 = 131×371
Prime Factorization of 485
| 5 | 485 |
| 97 | 97 |
| 1 |
Prime factors of 485 are 5,97. Prime factorization of 485 in exponential form is:
485 = 51×971
Now multiplying the highest exponent prime factors to calculate the LCM of 481 and 485.
LCM(481,485) = 51×131×371×971
LCM(481,485) = 233285
Factors of 481
List of positive integer factors of 481 that divides 481 without a remainder.
1, 13, 37, 481
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1, 5, 97, 485
Least Common Multiple of 481 and 485 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 481 and 485, than apply into the LCM equation.
GCF(481,485) = 1
LCM(481,485) = ( 481 × 485) / 1
LCM(481,485) = 233285 / 1
LCM(481,485) = 233285
Properties of LCM 481 and 485
(i) The LCM of 485 and 481 is associative
LCM of 481 and 485 = LCM of 485 and 481
Related Least Common Multiples of 481
Related Least Common Multiples of 485
Frequently Asked Questions on LCM of 481 and 485
1. What is the LCM of 481 and 485?
Answer: LCM of 481 and 485 is 233285.
2. What are the Factors of 481?
Answer: Factors of 481 are 1, 13, 37, 481. There are 4 integers that are factors of 481. The greatest factor of 481 is 481.
3. What are the Factors of 485?
Answer: Factors of 485 are 1, 5, 97, 485. There are 4 integers that are factors of 485. The greatest factor of 485 is 485.
4. How to Find the LCM of 481 and 485?
Answer:
Least Common Multiple of 481 and 485 = 233285
Step 1: Find the prime factorization of 481
481 = 13 x 37
Step 2: Find the prime factorization of 485
485 = 5 x 97
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 233285 = 5 x 13 x 37 x 97
Step 4: Therefore, the least common multiple of 481 and 485 is 233285.