Least Common Multiple of 489 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 489 and 493 the smallest integer that is 241077 that is divisible by both numbers.
Least Common Multiple (LCM) of 489 and 493 is 241077.
LCM(489,493) = 241077
LCM of 489 and 493
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 489 and 493 by Prime method
- Least Common Multiple of 489 and 493 with GCF Formula
LCM of 489 and 493 is 241077
Least common multiple can be found by multiplying the highest exponent prime factors of 489 and 493. First we will calculate the prime factors of 489 and 493.
Prime Factorization of 489
| 3 | 489 |
| 163 | 163 |
| 1 |
Prime factors of 489 are 3,163. Prime factorization of 489 in exponential form is:
489 = 31×1631
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 489 and 493.
LCM(489,493) = 31×171×291×1631
LCM(489,493) = 241077
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Factors of 493
List of positive integer factors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Least Common Multiple of 489 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 489 and 493, than apply into the LCM equation.
GCF(489,493) = 1
LCM(489,493) = ( 489 × 493) / 1
LCM(489,493) = 241077 / 1
LCM(489,493) = 241077
Properties of LCM 489 and 493
(i) The LCM of 493 and 489 is associative
LCM of 489 and 493 = LCM of 493 and 489
Related Least Common Multiples of 489
Related Least Common Multiples of 493
Frequently Asked Questions on LCM of 489 and 493
1. What is the LCM of 489 and 493?
Answer: LCM of 489 and 493 is 241077.
2. What are the Factors of 489?
Answer: Factors of 489 are 1, 3, 163, 489. There are 4 integers that are factors of 489. The greatest factor of 489 is 489.
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 489 and 493?
Answer:
Least Common Multiple of 489 and 493 = 241077
Step 1: Find the prime factorization of 489
489 = 3 x 163
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 = 241077 = 3 x 17 x 29 x 163
Step 4: Therefore, the least common multiple of 489 and 493 is 241077.
