Find the LCM of 799, 696, 781, 425, 220 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, 696, 781, 425, 220. So, keep reading to learn more.
Given numbers are 799,696,781,425,220
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,696,781,425,220 is 10857930600.
Find LCM of 799,696,781,425,220 with Prime Factorization
2 | 799, 696, 781, 425, 220 |
2 | 799, 348, 781, 425, 110 |
5 | 799, 174, 781, 425, 55 |
11 | 799, 174, 781, 85, 11 |
17 | 799, 174, 71, 85, 1 |
47, 174, 71, 5, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 17 x 47 x 174 x 71 x 5 x 1 = 10857930600
Therefore, the lowest common multiple of 799,696,781,425,220 is 10857930600.
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 696 x 781 x 425 x 220 = 40608660444000
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
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
781 : 1, 11, 71, 781
425 : 1, 5, 17, 25, 85, 425
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,696,781,425,220, is 1.
Now, the common factors can be found like this.
799:17x 47
696:2x 2x 2x 3x 29
781:11x 71
425:5x 5x 17
220:2x 2x 5x 11
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 5x 11x 17 = 3740
Therefore, the value for common factors is 3740.
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 = 40608660444000/(1x3740)
LCM = 40608660444000/3740
LCM = 10857930600
Thus, we can understand that the LCM of 799,696,781,425,220 is 10857930600.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 799, 696, 781, 425, 220?
Answer: LCM of 799, 696, 781, 425, 220 is 10857930600.
2. How to calculate the LCM of 799, 696, 781, 425, 220?
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, 696, 781, 425, 220.
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}.