Least Common Multiple of 482 and 490
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Free LCM Calculator determines the least common multiple (LCM) between 482 and 490 the smallest integer that is 118090 that is divisible by both numbers.
Least Common Multiple (LCM) of 482 and 490 is 118090.
LCM(482,490) = 118090
LCM of 482 and 490
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 482 and 490 by Prime method
- Least Common Multiple of 482 and 490 with GCF Formula
LCM of 482 and 490 is 118090
Least common multiple can be found by multiplying the highest exponent prime factors of 482 and 490. First we will calculate the prime factors of 482 and 490.
Prime Factorization of 482
| 2 | 482 |
| 241 | 241 |
| 1 |
Prime factors of 482 are 2,241. Prime factorization of 482 in exponential form is:
482 = 21×2411
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
Now multiplying the highest exponent prime factors to calculate the LCM of 482 and 490.
LCM(482,490) = 21×51×72×2411
LCM(482,490) = 118090
Factors of 482
List of positive integer factors of 482 that divides 482 without a remainder.
1, 2, 241, 482
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
Least Common Multiple of 482 and 490 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 482 and 490, than apply into the LCM equation.
GCF(482,490) = 2
LCM(482,490) = ( 482 × 490) / 2
LCM(482,490) = 236180 / 2
LCM(482,490) = 118090
Properties of LCM 482 and 490
(i) The LCM of 490 and 482 is associative
LCM of 482 and 490 = LCM of 490 and 482
Related Least Common Multiples of 482
Related Least Common Multiples of 490
Frequently Asked Questions on LCM of 482 and 490
1. What is the LCM of 482 and 490?
Answer: LCM of 482 and 490 is 118090.
2. What are the Factors of 482?
Answer: Factors of 482 are 1, 2, 241, 482. There are 4 integers that are factors of 482. The greatest factor of 482 is 482.
3. 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.
4. How to Find the LCM of 482 and 490?
Answer:
Least Common Multiple of 482 and 490 = 118090
Step 1: Find the prime factorization of 482
482 = 2 x 241
Step 2: Find the prime factorization of 490
490 = 2 x 5 x 7 x 7
Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:
LCM = 118090 = 2 x 5 x 7 x 7 x 241
Step 4: Therefore, the least common multiple of 482 and 490 is 118090.