LCM of 964, 518, 560, 457, 864
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 964, 518, 560, 457, 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 964, 518, 560, 457, 864. So, keep reading to learn more.
Given numbers are 964,518,560,457,864
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 964,518,560,457,864 is 123230086560.
Find LCM of 964,518,560,457,864 with Prime Factorization
| 2 | 964, 518, 560, 457, 864 |
| 2 | 482, 259, 280, 457, 432 |
| 2 | 241, 259, 140, 457, 216 |
| 2 | 241, 259, 70, 457, 108 |
| 7 | 241, 259, 35, 457, 54 |
| 241, 37, 5, 457, 54 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 241 x 37 x 5 x 457 x 54 = 123230086560
Therefore, the lowest common multiple of 964,518,560,457,864 is 123230086560.
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.
964 x 518 x 560 x 457 x 864 = 110414157557760
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.
964 : 1, 2, 4, 241, 482, 964
518 : 1, 2, 7, 14, 37, 74, 259, 518
560 : 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
457 : 1, 457
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 964,518,560,457,864, is 1.
Now, the common factors can be found like this.
964:2x 2x 241
518:2x 7x 37
560:2x 2x 2x 2x 5x 7
457:457
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 2x 2x 2x 2x 2x 2x 7 = 896
Therefore, the value for common factors is 896.
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 = 110414157557760/(1x896)
LCM = 110414157557760/896
LCM = 123230086560
Thus, we can understand that the LCM of 964,518,560,457,864 is 123230086560.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 964, 518, 560, 457, 864
1. What is the LCM of 964, 518, 560, 457, 864?
Answer: LCM of 964, 518, 560, 457, 864 is 123230086560.
2. How to calculate the LCM of 964, 518, 560, 457, 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 964, 518, 560, 457, 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}.