Least Common Multiple of 485 and 493
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 485 and 493 the smallest integer that is 239105 that is divisible by both numbers.
Least Common Multiple (LCM) of 485 and 493 is 239105.
LCM(485,493) = 239105
LCM of 485 and 493
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 485 and 493 by Prime method
- Least Common Multiple of 485 and 493 with GCF Formula
LCM of 485 and 493 is 239105
Least common multiple can be found by multiplying the highest exponent prime factors of 485 and 493. First we will calculate the prime factors of 485 and 493.
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
Prime Factorization of 493
| 17 | 493 |
| 29 | 29 |
| 1 |
Prime factors of 493 are 17,29. Prime factorization of 493 in exponential form is:
493 = 171×291
Now multiplying the highest exponent prime factors to calculate the LCM of 485 and 493.
LCM(485,493) = 51×171×291×971
LCM(485,493) = 239105
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1, 5, 97, 485
Factors of 493
List of positive integer factors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Least Common Multiple of 485 and 493 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 485 and 493, than apply into the LCM equation.
GCF(485,493) = 1
LCM(485,493) = ( 485 × 493) / 1
LCM(485,493) = 239105 / 1
LCM(485,493) = 239105
Properties of LCM 485 and 493
(i) The LCM of 493 and 485 is associative
LCM of 485 and 493 = LCM of 493 and 485
Related Least Common Multiples of 485
Related Least Common Multiples of 493
Frequently Asked Questions on LCM of 485 and 493
1. What is the LCM of 485 and 493?
Answer: LCM of 485 and 493 is 239105.
2. 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.
3. What are the Factors of 493?
Answer: Factors of 493 are 1, 17, 29, 493. There are 4 integers that are factors of 493. The greatest factor of 493 is 493.
4. How to Find the LCM of 485 and 493?
Answer:
Least Common Multiple of 485 and 493 = 239105
Step 1: Find the prime factorization of 485
485 = 5 x 97
Step 2: Find the prime factorization of 493
493 = 17 x 29
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 239105 = 5 x 17 x 29 x 97
Step 4: Therefore, the least common multiple of 485 and 493 is 239105.
