Least Common Multiple of 490 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 490 and 493 the smallest integer that is 241570 that is divisible by both numbers.
Least Common Multiple (LCM) of 490 and 493 is 241570.
LCM(490,493) = 241570
LCM of 490 and 493
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 490 and 493 by Prime method
- Least Common Multiple of 490 and 493 with GCF Formula
LCM of 490 and 493 is 241570
Least common multiple can be found by multiplying the highest exponent prime factors of 490 and 493. First we will calculate the prime factors of 490 and 493.
Prime Factorization of 490
| 2 | 490 |
| 5 | 245 |
| 7 | 49 |
| 7 | 7 |
| 1 |
Prime factors of 490 are 2, 5,7. Prime factorization of 490 in exponential form is:
490 = 21×51×72
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 490 and 493.
LCM(490,493) = 21×51×72×171×291
LCM(490,493) = 241570
Factors of 490
List of positive integer factors of 490 that divides 490 without a remainder.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
Factors of 493
List of positive integer factors of 493 that divides 493 without a remainder.
1, 17, 29, 493
Least Common Multiple of 490 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 490 and 493, than apply into the LCM equation.
GCF(490,493) = 1
LCM(490,493) = ( 490 × 493) / 1
LCM(490,493) = 241570 / 1
LCM(490,493) = 241570
Properties of LCM 490 and 493
(i) The LCM of 493 and 490 is associative
LCM of 490 and 493 = LCM of 493 and 490
Related Least Common Multiples of 490
Related Least Common Multiples of 493
Frequently Asked Questions on LCM of 490 and 493
1. What is the LCM of 490 and 493?
Answer: LCM of 490 and 493 is 241570.
2. What are the Factors of 490?
Answer: Factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490. There are 12 integers that are factors of 490. The greatest factor of 490 is 490.
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 490 and 493?
Answer:
Least Common Multiple of 490 and 493 = 241570
Step 1: Find the prime factorization of 490
490 = 2 x 5 x 7 x 7
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 = 241570 = 2 x 5 x 7 x 7 x 17 x 29
Step 4: Therefore, the least common multiple of 490 and 493 is 241570.
