Find the LCM of 799, 901, 856, 432, 689 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 799, 901, 856, 432, 689. So, keep reading to learn more.
Given numbers are 799,901,856,432,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,901,856,432,689 is 25446820464.
Find LCM of 799,901,856,432,689 with Prime Factorization
2 | 799, 901, 856, 432, 689 |
2 | 799, 901, 428, 216, 689 |
2 | 799, 901, 214, 108, 689 |
17 | 799, 901, 107, 54, 689 |
53 | 47, 53, 107, 54, 689 |
47, 1, 107, 54, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 53 x 47 x 1 x 107 x 54 x 13 = 25446820464
Therefore, the lowest common multiple of 799,901,856,432,689 is 25446820464.
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.
799 x 901 x 856 x 432 x 689 = 183420681904512
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.
799 : 1, 17, 47, 799
901 : 1, 17, 53, 901
856 : 1, 2, 4, 8, 107, 214, 428, 856
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,901,856,432,689, is 1.
Now, the common factors can be found like this.
799:17x 47
901:17x 53
856:2x 2x 2x 107
432:2x 2x 2x 2x 3x 3x 3
689:13x 53
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 17x 53 = 7208
Therefore, the value for common factors is 7208.
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 = 183420681904512/(1x7208)
LCM = 183420681904512/7208
LCM = 25446820464
Thus, we can understand that the LCM of 799,901,856,432,689 is 25446820464.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 799, 901, 856, 432, 689?
Answer: LCM of 799, 901, 856, 432, 689 is 25446820464.
2. How to calculate the LCM of 799, 901, 856, 432, 689?
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 799, 901, 856, 432, 689.
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}.