LCM of 315, 570, 859, 931, 864
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 315, 570, 859, 931, 864 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, 570, 859, 931, 864. So, keep reading to learn more.
Given numbers are 315,570,859,931,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 315,570,859,931,864 is 3454829280.
Find LCM of 315,570,859,931,864 with Prime Factorization
| 2 | 315, 570, 859, 931, 864 |
| 3 | 315, 285, 859, 931, 432 |
| 3 | 105, 95, 859, 931, 144 |
| 5 | 35, 95, 859, 931, 48 |
| 7 | 7, 19, 859, 931, 48 |
| 19 | 1, 19, 859, 133, 48 |
| 1, 1, 859, 7, 48 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 19 x 1 x 1 x 859 x 7 x 48 = 3454829280
Therefore, the lowest common multiple of 315,570,859,931,864 is 3454829280.
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 570 x 859 x 931 x 864 = 124062919444800
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
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
859 : 1, 859
931 : 1, 7, 19, 49, 133, 931
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 315,570,859,931,864, is 1.
Now, the common factors can be found like this.
315:3x 3x 5x 7
570:2x 3x 5x 19
859:859
931:7x 7x 19
864:2x 2x 2x 2x 2x 3x 3x 3
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 5x 7x 19 = 35910
Therefore, the value for common factors is 35910.
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 = 124062919444800/(1x35910)
LCM = 124062919444800/35910
LCM = 3454829280
Thus, we can understand that the LCM of 315,570,859,931,864 is 3454829280.
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FAQs on LCM of 315, 570, 859, 931, 864
1. What is the LCM of 315, 570, 859, 931, 864?
Answer: LCM of 315, 570, 859, 931, 864 is 3454829280.
2. How to calculate the LCM of 315, 570, 859, 931, 864?
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, 570, 859, 931, 864.
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}.