LCM of 815, 784, 627, 957, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 815, 784, 627, 957, 960 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 815, 784, 627, 957, 960. So, keep reading to learn more.
Given numbers are 815,784,627,957,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 815,784,627,957,960 is 46472838720.
Find LCM of 815,784,627,957,960 with Prime Factorization
| 2 | 815, 784, 627, 957, 960 |
| 2 | 815, 392, 627, 957, 480 |
| 2 | 815, 196, 627, 957, 240 |
| 2 | 815, 98, 627, 957, 120 |
| 3 | 815, 49, 627, 957, 60 |
| 5 | 815, 49, 209, 319, 20 |
| 11 | 163, 49, 209, 319, 4 |
| 163, 49, 19, 29, 4 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 11 x 163 x 49 x 19 x 29 x 4 = 46472838720
Therefore, the lowest common multiple of 815,784,627,957,960 is 46472838720.
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.
815 x 784 x 627 x 957 x 960 = 368064882662400
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.
815 : 1, 5, 163, 815
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
627 : 1, 3, 11, 19, 33, 57, 209, 627
957 : 1, 3, 11, 29, 33, 87, 319, 957
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 815,784,627,957,960, is 1.
Now, the common factors can be found like this.
815:5x 163
784:2x 2x 2x 2x 7x 7
627:3x 11x 19
957:3x 11x 29
960:2x 2x 2x 2x 2x 2x 3x 5
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 3x 3x 5x 11 = 7920
Therefore, the value for common factors is 7920.
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 = 368064882662400/(1x7920)
LCM = 368064882662400/7920
LCM = 46472838720
Thus, we can understand that the LCM of 815,784,627,957,960 is 46472838720.
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FAQs on LCM of 815, 784, 627, 957, 960
1. What is the LCM of 815, 784, 627, 957, 960?
Answer: LCM of 815, 784, 627, 957, 960 is 46472838720.
2. How to calculate the LCM of 815, 784, 627, 957, 960?
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 815, 784, 627, 957, 960.
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}.