Find the LCM of 999, 546, 814, 123, 718 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 999, 546, 814, 123, 718. So, keep reading to learn more.
Given numbers are 999,546,814,123,718
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 999,546,814,123,718 is 29437970562.
Find LCM of 999,546,814,123,718 with Prime Factorization
2 | 999, 546, 814, 123, 718 |
3 | 999, 273, 407, 123, 359 |
37 | 333, 91, 407, 41, 359 |
9, 91, 11, 41, 359 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 37 x 9 x 91 x 11 x 41 x 359 = 29437970562
Therefore, the lowest common multiple of 999,546,814,123,718 is 29437970562.
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.
999 x 546 x 814 x 123 x 718 = 39211376788584
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.
999 : 1, 3, 9, 27, 37, 111, 333, 999
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
814 : 1, 2, 11, 22, 37, 74, 407, 814
123 : 1, 3, 41, 123
718 : 1, 2, 359, 718
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 999,546,814,123,718, is 1.
Now, the common factors can be found like this.
999:3x 3x 3x 37
546:2x 3x 7x 13
814:2x 11x 37
123:3x 41
718:2x 359
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 3x 3x 37 = 1332
Therefore, the value for common factors is 1332.
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 = 39211376788584/(1x1332)
LCM = 39211376788584/1332
LCM = 29437970562
Thus, we can understand that the LCM of 999,546,814,123,718 is 29437970562.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 999, 546, 814, 123, 718?
Answer: LCM of 999, 546, 814, 123, 718 is 29437970562.
2. How to calculate the LCM of 999, 546, 814, 123, 718?
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 999, 546, 814, 123, 718.
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}.