LCM of 867, 816, 264, 715
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 867, 816, 264, 715 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 867, 816, 264, 715. So, keep reading to learn more.
Given numbers are 867,816,264,715
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 867,816,264,715 is 9918480.
Find LCM of 867,816,264,715 with Prime Factorization
| 2 | 867, 816, 264, 715 |
| 2 | 867, 408, 132, 715 |
| 2 | 867, 204, 66, 715 |
| 3 | 867, 102, 33, 715 |
| 11 | 289, 34, 11, 715 |
| 17 | 289, 34, 1, 65 |
| 17, 2, 1, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 17 x 17 x 2 x 1 x 65 = 9918480
Therefore, the lowest common multiple of 867,816,264,715 is 9918480.
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.
867 x 816 x 264 x 715 = 133542414720
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.
867 : 1, 3, 17, 51, 289, 867
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
715 : 1, 5, 11, 13, 55, 65, 143, 715
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 867,816,264,715, is 1.
Now, the common factors can be found like this.
867:3x 17x 17
816:2x 2x 2x 2x 3x 17
264:2x 2x 2x 3x 11
715:5x 11x 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 3x 3x 11x 17 = 13464
Therefore, the value for common factors is 13464.
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 = 133542414720/(1x13464)
LCM = 133542414720/13464
LCM = 9918480
Thus, we can understand that the LCM of 867,816,264,715 is 9918480.
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FAQs on LCM of 867, 816, 264, 715
1. What is the LCM of 867, 816, 264, 715?
Answer: LCM of 867, 816, 264, 715 is 9918480.
2. How to calculate the LCM of 867, 816, 264, 715?
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 867, 816, 264, 715.
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}.