Least Common Multiple of 485 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 485 and 490 the smallest integer that is 47530 that is divisible by both numbers.
Least Common Multiple (LCM) of 485 and 490 is 47530.
LCM(485,490) = 47530
LCM of 485 and 490
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 485 and 490 by Prime method
- Least Common Multiple of 485 and 490 with GCF Formula
LCM of 485 and 490 is 47530
Least common multiple can be found by multiplying the highest exponent prime factors of 485 and 490. First we will calculate the prime factors of 485 and 490.
Prime Factorization of 485
| 5 | 485 |
| 97 | 97 |
| 1 |
Prime factors of 485 are 5,97. Prime factorization of 485 in exponential form is:
485 = 51×971
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 485 and 490.
LCM(485,490) = 21×51×72×971
LCM(485,490) = 47530
Factors of 485
List of positive integer factors of 485 that divides 485 without a remainder.
1, 5, 97, 485
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 485 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 485 and 490, than apply into the LCM equation.
GCF(485,490) = 5
LCM(485,490) = ( 485 × 490) / 5
LCM(485,490) = 237650 / 5
LCM(485,490) = 47530
Properties of LCM 485 and 490
(i) The LCM of 490 and 485 is associative
LCM of 485 and 490 = LCM of 490 and 485
Related Least Common Multiples of 485
Related Least Common Multiples of 490
Frequently Asked Questions on LCM of 485 and 490
1. What is the LCM of 485 and 490?
Answer: LCM of 485 and 490 is 47530.
2. What are the Factors of 485?
Answer: Factors of 485 are 1, 5, 97, 485. There are 4 integers that are factors of 485. The greatest factor of 485 is 485.
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 485 and 490?
Answer:
Least Common Multiple of 485 and 490 = 47530
Step 1: Find the prime factorization of 485
485 = 5 x 97
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 = 47530 = 2 x 5 x 7 x 7 x 97
Step 4: Therefore, the least common multiple of 485 and 490 is 47530.