LCM of 470, 839, 819, 793, 235
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 470, 839, 819, 793, 235 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 470, 839, 819, 793, 235. So, keep reading to learn more.
Given numbers are 470,839,819,793,235
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 470,839,819,793,235 is 19700332470.
Find LCM of 470,839,819,793,235 with Prime Factorization
| 5 | 470, 839, 819, 793, 235 |
| 13 | 94, 839, 819, 793, 47 |
| 47 | 94, 839, 63, 61, 47 |
| 2, 839, 63, 61, 1 |
Multiply the prime numbers at the bottom and the left side.
5 x 13 x 47 x 2 x 839 x 63 x 61 x 1 = 19700332470
Therefore, the lowest common multiple of 470,839,819,793,235 is 19700332470.
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.
470 x 839 x 819 x 793 x 235 = 60184515695850
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.
470 : 1, 2, 5, 10, 47, 94, 235, 470
839 : 1, 839
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
793 : 1, 13, 61, 793
235 : 1, 5, 47, 235
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 470,839,819,793,235, is 1.
Now, the common factors can be found like this.
470:2x 5x 47
839:839
819:3x 3x 7x 13
793:13x 61
235:5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 13x 47 = 3055
Therefore, the value for common factors is 3055.
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 = 60184515695850/(1x3055)
LCM = 60184515695850/3055
LCM = 19700332470
Thus, we can understand that the LCM of 470,839,819,793,235 is 19700332470.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 470, 839, 819, 793, 235
1. What is the LCM of 470, 839, 819, 793, 235?
Answer: LCM of 470, 839, 819, 793, 235 is 19700332470.
2. How to calculate the LCM of 470, 839, 819, 793, 235?
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 470, 839, 819, 793, 235.
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}.