LCM of 787, 960, 416, 505, 606
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 787, 960, 416, 505, 606 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 787, 960, 416, 505, 606. So, keep reading to learn more.
Given numbers are 787,960,416,505,606
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 787,960,416,505,606 is 991997760.
Find LCM of 787,960,416,505,606 with Prime Factorization
| 2 | 787, 960, 416, 505, 606 |
| 2 | 787, 480, 208, 505, 303 |
| 2 | 787, 240, 104, 505, 303 |
| 2 | 787, 120, 52, 505, 303 |
| 2 | 787, 60, 26, 505, 303 |
| 3 | 787, 30, 13, 505, 303 |
| 5 | 787, 10, 13, 505, 101 |
| 101 | 787, 2, 13, 101, 101 |
| 787, 2, 13, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 101 x 787 x 2 x 13 x 1 x 1 = 991997760
Therefore, the lowest common multiple of 787,960,416,505,606 is 991997760.
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.
787 x 960 x 416 x 505 x 606 = 96184102809600
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.
787 : 1, 787
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
416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416
505 : 1, 5, 101, 505
606 : 1, 2, 3, 6, 101, 202, 303, 606
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,960,416,505,606, is 1.
Now, the common factors can be found like this.
787:787
960:2x 2x 2x 2x 2x 2x 3x 5
416:2x 2x 2x 2x 2x 13
505:5x 101
606:2x 3x 101
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 3x 5x 101 = 96960
Therefore, the value for common factors is 96960.
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 = 96184102809600/(1x96960)
LCM = 96184102809600/96960
LCM = 991997760
Thus, we can understand that the LCM of 787,960,416,505,606 is 991997760.
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FAQs on LCM of 787, 960, 416, 505, 606
1. What is the LCM of 787, 960, 416, 505, 606?
Answer: LCM of 787, 960, 416, 505, 606 is 991997760.
2. How to calculate the LCM of 787, 960, 416, 505, 606?
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 787, 960, 416, 505, 606.
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}.