LCM of 589, 925, 288, 160, 496
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 589, 925, 288, 160, 496 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 589, 925, 288, 160, 496. So, keep reading to learn more.
Given numbers are 589,925,288,160,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 589,925,288,160,496 is 156909600.
Find LCM of 589,925,288,160,496 with Prime Factorization
| 2 | 589, 925, 288, 160, 496 |
| 2 | 589, 925, 144, 80, 248 |
| 2 | 589, 925, 72, 40, 124 |
| 2 | 589, 925, 36, 20, 62 |
| 2 | 589, 925, 18, 10, 31 |
| 5 | 589, 925, 9, 5, 31 |
| 31 | 589, 185, 9, 1, 31 |
| 19, 185, 9, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 5 x 31 x 19 x 185 x 9 x 1 x 1 = 156909600
Therefore, the lowest common multiple of 589,925,288,160,496 is 156909600.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
589 x 925 x 288 x 160 x 496 = 12452345856000
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
589 : 1, 19, 31, 589
925 : 1, 5, 25, 37, 185, 925
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 589,925,288,160,496, is 1.
Now, the common factors can be found like this.
589:19x 31
925:5x 5x 37
288:2x 2x 2x 2x 2x 3x 3
160:2x 2x 2x 2x 2x 5
496:2x 2x 2x 2x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2x 2x 2x 5x 31 = 79360
Therefore, the value for common factors is 79360.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 12452345856000/(1x79360)
LCM = 12452345856000/79360
LCM = 156909600
Thus, we can understand that the LCM of 589,925,288,160,496 is 156909600.
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FAQs on LCM of 589, 925, 288, 160, 496
1. What is the LCM of 589, 925, 288, 160, 496?
Answer: LCM of 589, 925, 288, 160, 496 is 156909600.
2. How to calculate the LCM of 589, 925, 288, 160, 496?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 589, 925, 288, 160, 496.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.