Least Common Multiple of 489 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 489 and 490 the smallest integer that is 239610 that is divisible by both numbers.
Least Common Multiple (LCM) of 489 and 490 is 239610.
LCM(489,490) = 239610
LCM of 489 and 490
Least common multiple or lowest common denominator (LCD) can be calculated in three ways;
- Least Common Multiple of 489 and 490 by Prime method
- Least Common Multiple of 489 and 490 with GCF Formula
LCM of 489 and 490 is 239610
Least common multiple can be found by multiplying the highest exponent prime factors of 489 and 490. First we will calculate the prime factors of 489 and 490.
Prime Factorization of 489
| 3 | 489 |
| 163 | 163 |
| 1 |
Prime factors of 489 are 3,163. Prime factorization of 489 in exponential form is:
489 = 31×1631
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 489 and 490.
LCM(489,490) = 21×31×51×72×1631
LCM(489,490) = 239610
Factors of 489
List of positive integer factors of 489 that divides 489 without a remainder.
1, 3, 163, 489
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 489 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 489 and 490, than apply into the LCM equation.
GCF(489,490) = 1
LCM(489,490) = ( 489 × 490) / 1
LCM(489,490) = 239610 / 1
LCM(489,490) = 239610
Properties of LCM 489 and 490
(i) The LCM of 490 and 489 is associative
LCM of 489 and 490 = LCM of 490 and 489
Related Least Common Multiples of 489
Related Least Common Multiples of 490
Frequently Asked Questions on LCM of 489 and 490
1. What is the LCM of 489 and 490?
Answer: LCM of 489 and 490 is 239610.
2. What are the Factors of 489?
Answer: Factors of 489 are 1, 3, 163, 489. There are 4 integers that are factors of 489. The greatest factor of 489 is 489.
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 489 and 490?
Answer:
Least Common Multiple of 489 and 490 = 239610
Step 1: Find the prime factorization of 489
489 = 3 x 163
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 = 239610 = 2 x 3 x 5 x 7 x 7 x 163
Step 4: Therefore, the least common multiple of 489 and 490 is 239610.
