LCM of 315, 684, 598, 645, 585
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 684, 598, 645, 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 315, 684, 598, 645, 585. So, keep reading to learn more.
Given numbers are 315,684,598,645,585
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,684,598,645,585 is 307796580.
Find LCM of 315,684,598,645,585 with Prime Factorization
| 2 | 315, 684, 598, 645, 585 |
| 3 | 315, 342, 299, 645, 585 |
| 3 | 105, 114, 299, 215, 195 |
| 5 | 35, 38, 299, 215, 65 |
| 13 | 7, 38, 299, 43, 13 |
| 7, 38, 23, 43, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 13 x 7 x 38 x 23 x 43 x 1 = 307796580
Therefore, the lowest common multiple of 315,684,598,645,585 is 307796580.
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.
315 x 684 x 598 x 645 x 585 = 48616469811000
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.
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
598 : 1, 2, 13, 23, 26, 46, 299, 598
645 : 1, 3, 5, 15, 43, 129, 215, 645
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 315,684,598,645,585, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
684:2x 2x 3x 3x 19
598:2x 13x 23
645:3x 5x 43
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 3x 3x 3x 3x 3x 5x 5x 13 = 157950
Therefore, the value for common factors is 157950.
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 = 48616469811000/(1x157950)
LCM = 48616469811000/157950
LCM = 307796580
Thus, we can understand that the LCM of 315,684,598,645,585 is 307796580.
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FAQs on LCM of 315, 684, 598, 645, 585
1. What is the LCM of 315, 684, 598, 645, 585?
Answer: LCM of 315, 684, 598, 645, 585 is 307796580.
2. How to calculate the LCM of 315, 684, 598, 645, 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 315, 684, 598, 645, 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}.