LCM of 585, 715, 707, 578, 315
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 585, 715, 707, 578, 315 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 585, 715, 707, 578, 315. So, keep reading to learn more.
Given numbers are 585,715,707,578,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,715,707,578,315 is 2629637010.
Find LCM of 585,715,707,578,315 with Prime Factorization
| 3 | 585, 715, 707, 578, 315 |
| 3 | 195, 715, 707, 578, 105 |
| 5 | 65, 715, 707, 578, 35 |
| 7 | 13, 143, 707, 578, 7 |
| 13 | 13, 143, 101, 578, 1 |
| 1, 11, 101, 578, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 7 x 13 x 1 x 11 x 101 x 578 x 1 = 2629637010
Therefore, the lowest common multiple of 585,715,707,578,315 is 2629637010.
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.
585 x 715 x 707 x 578 x 315 = 53841817779750
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
715 : 1, 5, 11, 13, 55, 65, 143, 715
707 : 1, 7, 101, 707
578 : 1, 2, 17, 34, 289, 578
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,715,707,578,315, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
715:5x 11x 13
707:7x 101
578:2x 17x 17
315:3x 3x 5x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 5x 7x 13 = 20475
Therefore, the value for common factors is 20475.
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 = 53841817779750/(1x20475)
LCM = 53841817779750/20475
LCM = 2629637010
Thus, we can understand that the LCM of 585,715,707,578,315 is 2629637010.
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FAQs on LCM of 585, 715, 707, 578, 315
1. What is the LCM of 585, 715, 707, 578, 315?
Answer: LCM of 585, 715, 707, 578, 315 is 2629637010.
2. How to calculate the LCM of 585, 715, 707, 578, 315?
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 585, 715, 707, 578, 315.
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}.