LCM of 598, 960, 680, 676, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 598, 960, 680, 676, 585 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 598, 960, 680, 676, 585. So, keep reading to learn more.
Given numbers are 598,960,680,676,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 598,960,680,676,585 is 190307520.
Find LCM of 598,960,680,676,585 with Prime Factorization
| 2 | 598, 960, 680, 676, 585 |
| 2 | 299, 480, 340, 338, 585 |
| 2 | 299, 240, 170, 169, 585 |
| 3 | 299, 120, 85, 169, 585 |
| 5 | 299, 40, 85, 169, 195 |
| 13 | 299, 8, 17, 169, 39 |
| 23, 8, 17, 13, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 5 x 13 x 23 x 8 x 17 x 13 x 3 = 190307520
Therefore, the lowest common multiple of 598,960,680,676,585 is 190307520.
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.
598 x 960 x 680 x 676 x 585 = 154377460224000
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.
598 : 1, 2, 13, 23, 26, 46, 299, 598
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,960,680,676,585, is 1.
Now, the common factors can be found like this.
598:2x 13x 23
960:2x 2x 2x 2x 2x 2x 3x 5
680:2x 2x 2x 5x 17
676:2x 2x 13x 13
585:3x 3x 5x 13
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 3x 5x 5x 13x 13 = 811200
Therefore, the value for common factors is 811200.
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 = 154377460224000/(1x811200)
LCM = 154377460224000/811200
LCM = 190307520
Thus, we can understand that the LCM of 598,960,680,676,585 is 190307520.
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FAQs on LCM of 598, 960, 680, 676, 585
1. What is the LCM of 598, 960, 680, 676, 585?
Answer: LCM of 598, 960, 680, 676, 585 is 190307520.
2. How to calculate the LCM of 598, 960, 680, 676, 585?
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 598, 960, 680, 676, 585.
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}.