LCM of 832, 432, 913, 799, 411
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 832, 432, 913, 799, 411 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 832, 432, 913, 799, 411. So, keep reading to learn more.
Given numbers are 832,432,913,799,411
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 832,432,913,799,411 is 2245045847616.
Find LCM of 832,432,913,799,411 with Prime Factorization
| 2 | 832, 432, 913, 799, 411 |
| 2 | 416, 216, 913, 799, 411 |
| 2 | 208, 108, 913, 799, 411 |
| 2 | 104, 54, 913, 799, 411 |
| 3 | 52, 27, 913, 799, 411 |
| 52, 9, 913, 799, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 52 x 9 x 913 x 799 x 137 = 2245045847616
Therefore, the lowest common multiple of 832,432,913,799,411 is 2245045847616.
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.
832 x 432 x 913 x 799 x 411 = 107762200685568
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.
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
913 : 1, 11, 83, 913
799 : 1, 17, 47, 799
411 : 1, 3, 137, 411
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 832,432,913,799,411, is 1.
Now, the common factors can be found like this.
832:2x 2x 2x 2x 2x 2x 13
432:2x 2x 2x 2x 3x 3x 3
913:11x 83
799:17x 47
411:3x 137
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 3 = 48
Therefore, the value for common factors is 48.
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 = 107762200685568/(1x48)
LCM = 107762200685568/48
LCM = 2245045847616
Thus, we can understand that the LCM of 832,432,913,799,411 is 2245045847616.
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FAQs on LCM of 832, 432, 913, 799, 411
1. What is the LCM of 832, 432, 913, 799, 411?
Answer: LCM of 832, 432, 913, 799, 411 is 2245045847616.
2. How to calculate the LCM of 832, 432, 913, 799, 411?
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 832, 432, 913, 799, 411.
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}.