Least Common Multiple of 490 and 497
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 497 the smallest integer that is 34790 that is divisible by both numbers.
Least Common Multiple (LCM) of 490 and 497 is 34790.
LCM(490,497) = 34790
LCM of 490 and 497
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 490 and 497 by Prime method
- Least Common Multiple of 490 and 497 with GCF Formula
LCM of 490 and 497 is 34790
Least common multiple can be found by multiplying the highest exponent prime factors of 490 and 497. First we will calculate the prime factors of 490 and 497.
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 497
| 7 | 497 |
| 71 | 71 |
| 1 |
Prime factors of 497 are 7,71. Prime factorization of 497 in exponential form is:
497 = 71×711
Now multiplying the highest exponent prime factors to calculate the LCM of 490 and 497.
LCM(490,497) = 21×51×72×711
LCM(490,497) = 34790
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 497
List of positive integer factors of 497 that divides 497 without a remainder.
1, 7, 71, 497
Least Common Multiple of 490 and 497 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 497, than apply into the LCM equation.
GCF(490,497) = 7
LCM(490,497) = ( 490 × 497) / 7
LCM(490,497) = 243530 / 7
LCM(490,497) = 34790
Properties of LCM 490 and 497
(i) The LCM of 497 and 490 is associative
LCM of 490 and 497 = LCM of 497 and 490
Related Least Common Multiples of 490
Related Least Common Multiples of 497
Frequently Asked Questions on LCM of 490 and 497
1. What is the LCM of 490 and 497?
Answer: LCM of 490 and 497 is 34790.
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 497?
Answer: Factors of 497 are 1, 7, 71, 497. There are 4 integers that are factors of 497. The greatest factor of 497 is 497.
4. How to Find the LCM of 490 and 497?
Answer:
Least Common Multiple of 490 and 497 = 34790
Step 1: Find the prime factorization of 490
490 = 2 x 5 x 7 x 7
Step 2: Find the prime factorization of 497
497 = 7 x 71
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 34790 = 2 x 5 x 7 x 7 x 71
Step 4: Therefore, the least common multiple of 490 and 497 is 34790.