Least Common Multiple of 491 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 491 and 494 the smallest integer that is 242554 that is divisible by both numbers.
Least Common Multiple (LCM) of 491 and 494 is 242554.
LCM(491,494) = 242554
LCM of 491 and 494
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 491 and 494 by Prime method
- Least Common Multiple of 491 and 494 with GCF Formula
LCM of 491 and 494 is 242554
Least common multiple can be found by multiplying the highest exponent prime factors of 491 and 494. First we will calculate the prime factors of 491 and 494.
Prime Factorization of 491
| 491 | 491 |
| 1 |
Prime factors of 491 are 491. Prime factorization of 491 in exponential form is:
491 = 4911
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 491 and 494.
LCM(491,494) = 21×131×191×4911
LCM(491,494) = 242554
Factors of 491
List of positive integer factors of 491 that divides 491 without a remainder.
1, 491
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 491 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 491 and 494, than apply into the LCM equation.
GCF(491,494) = 1
LCM(491,494) = ( 491 × 494) / 1
LCM(491,494) = 242554 / 1
LCM(491,494) = 242554
Properties of LCM 491 and 494
(i) The LCM of 494 and 491 is associative
LCM of 491 and 494 = LCM of 494 and 491
Related Least Common Multiples of 491
Related Least Common Multiples of 494
Frequently Asked Questions on LCM of 491 and 494
1. What is the LCM of 491 and 494?
Answer: LCM of 491 and 494 is 242554.
2. What are the Factors of 491?
Answer: Factors of 491 are 1, 491. There are 2 integers that are factors of 491. The greatest factor of 491 is 491.
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 491 and 494?
Answer:
Least Common Multiple of 491 and 494 = 242554
Step 1: Find the prime factorization of 491
491 = 491
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 = 242554 = 2 x 13 x 19 x 491
Step 4: Therefore, the least common multiple of 491 and 494 is 242554.
