LCM of 913, 187, 819, 696, 664
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 187, 819, 696, 664 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 913, 187, 819, 696, 664. So, keep reading to learn more.
Given numbers are 913,187,819,696,664
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,187,819,696,664 is 2949114168.
Find LCM of 913,187,819,696,664 with Prime Factorization
| 2 | 913, 187, 819, 696, 664 |
| 2 | 913, 187, 819, 348, 332 |
| 2 | 913, 187, 819, 174, 166 |
| 3 | 913, 187, 819, 87, 83 |
| 11 | 913, 187, 273, 29, 83 |
| 83 | 83, 17, 273, 29, 83 |
| 1, 17, 273, 29, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 11 x 83 x 1 x 17 x 273 x 29 x 1 = 2949114168
Therefore, the lowest common multiple of 913,187,819,696,664 is 2949114168.
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.
913 x 187 x 819 x 696 x 664 = 64620989649216
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.
913 : 1, 11, 83, 913
187 : 1, 11, 17, 187
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
664 : 1, 2, 4, 8, 83, 166, 332, 664
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,187,819,696,664, is 1.
Now, the common factors can be found like this.
913:11x 83
187:11x 17
819:3x 3x 7x 13
696:2x 2x 2x 3x 29
664:2x 2x 2x 83
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 3x 11x 83 = 21912
Therefore, the value for common factors is 21912.
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 = 64620989649216/(1x21912)
LCM = 64620989649216/21912
LCM = 2949114168
Thus, we can understand that the LCM of 913,187,819,696,664 is 2949114168.
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FAQs on LCM of 913, 187, 819, 696, 664
1. What is the LCM of 913, 187, 819, 696, 664?
Answer: LCM of 913, 187, 819, 696, 664 is 2949114168.
2. How to calculate the LCM of 913, 187, 819, 696, 664?
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 913, 187, 819, 696, 664.
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}.