Least Common Multiple of 489 and 494
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 494 the smallest integer that is 241566 that is divisible by both numbers.
Least Common Multiple (LCM) of 489 and 494 is 241566.
LCM(489,494) = 241566
LCM of 489 and 494
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 489 and 494 by Prime method
- Least Common Multiple of 489 and 494 with GCF Formula
LCM of 489 and 494 is 241566
Least common multiple can be found by multiplying the highest exponent prime factors of 489 and 494. First we will calculate the prime factors of 489 and 494.
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 494
| 2 | 494 |
| 13 | 247 |
| 19 | 19 |
| 1 |
Prime factors of 494 are 2, 13,19. Prime factorization of 494 in exponential form is:
494 = 21×131×191
Now multiplying the highest exponent prime factors to calculate the LCM of 489 and 494.
LCM(489,494) = 21×31×131×191×1631
LCM(489,494) = 241566
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1, 3, 163, 489
Factors of 494
List of positive integer factors of 494 that divides 494 without a remainder.
1, 2, 13, 19, 26, 38, 247, 494
Least Common Multiple of 489 and 494 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 494, than apply into the LCM equation.
GCF(489,494) = 1
LCM(489,494) = ( 489 × 494) / 1
LCM(489,494) = 241566 / 1
LCM(489,494) = 241566
Properties of LCM 489 and 494
(i) The LCM of 494 and 489 is associative
LCM of 489 and 494 = LCM of 494 and 489
Related Least Common Multiples of 489
Related Least Common Multiples of 494
Frequently Asked Questions on LCM of 489 and 494
1. What is the LCM of 489 and 494?
Answer: LCM of 489 and 494 is 241566.
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 494?
Answer: Factors of 494 are 1, 2, 13, 19, 26, 38, 247, 494. There are 8 integers that are factors of 494. The greatest factor of 494 is 494.
4. How to Find the LCM of 489 and 494?
Answer:
Least Common Multiple of 489 and 494 = 241566
Step 1: Find the prime factorization of 489
489 = 3 x 163
Step 2: Find the prime factorization of 494
494 = 2 x 13 x 19
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 241566 = 2 x 3 x 13 x 19 x 163
Step 4: Therefore, the least common multiple of 489 and 494 is 241566.
