Find the LCM of 845, 992, 962, 984, 558 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 845, 992, 962, 984, 558. So, keep reading to learn more.
Given numbers are 845,992,962,984,558
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,992,962,984,558 is 11444490720.
Find LCM of 845,992,962,984,558 with Prime Factorization
2 | 845, 992, 962, 984, 558 |
2 | 845, 496, 481, 492, 279 |
2 | 845, 248, 481, 246, 279 |
3 | 845, 124, 481, 123, 279 |
13 | 845, 124, 481, 41, 93 |
31 | 65, 124, 37, 41, 93 |
65, 4, 37, 41, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 31 x 65 x 4 x 37 x 41 x 3 = 11444490720
Therefore, the lowest common multiple of 845,992,962,984,558 is 11444490720.
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.
845 x 992 x 962 x 984 x 558 = 442764456975360
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.
845 : 1, 5, 13, 65, 169, 845
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
962 : 1, 2, 13, 26, 37, 74, 481, 962
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,992,962,984,558, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
992:2x 2x 2x 2x 2x 31
962:2x 13x 37
984:2x 2x 2x 3x 41
558:2x 3x 3x 31
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 3x 13x 31 = 38688
Therefore, the value for common factors is 38688.
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 = 442764456975360/(1x38688)
LCM = 442764456975360/38688
LCM = 11444490720
Thus, we can understand that the LCM of 845,992,962,984,558 is 11444490720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 845, 992, 962, 984, 558?
Answer: LCM of 845, 992, 962, 984, 558 is 11444490720.
2. How to calculate the LCM of 845, 992, 962, 984, 558?
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 845, 992, 962, 984, 558.
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}.