LCM of 832, 914, 778, 576, 842
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 832, 914, 778, 576, 842 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, 914, 778, 576, 842. So, keep reading to learn more.
Given numbers are 832,914,778,576,842
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 832,914,778,576,842 is 560420138304.
Find LCM of 832,914,778,576,842 with Prime Factorization
| 2 | 832, 914, 778, 576, 842 |
| 2 | 416, 457, 389, 288, 421 |
| 2 | 208, 457, 389, 144, 421 |
| 2 | 104, 457, 389, 72, 421 |
| 2 | 52, 457, 389, 36, 421 |
| 2 | 26, 457, 389, 18, 421 |
| 13, 457, 389, 9, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 13 x 457 x 389 x 9 x 421 = 560420138304
Therefore, the lowest common multiple of 832,914,778,576,842 is 560420138304.
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 914 x 778 x 576 x 842 = 286935110811648
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
914 : 1, 2, 457, 914
778 : 1, 2, 389, 778
576 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
842 : 1, 2, 421, 842
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 832,914,778,576,842, is 2.
Now, the common factors can be found like this.
832:2x 2x 2x 2x 2x 2x 13
914:2x 457
778:2x 389
576:2x 2x 2x 2x 2x 2x 3x 3
842:2x 421
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 2x 2x 2 = 256
Therefore, the value for common factors is 256.
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 = 286935110811648/(2x256)
LCM = 286935110811648/512
LCM = 560420138304
Thus, we can understand that the LCM of 832,914,778,576,842 is 560420138304.
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FAQs on LCM of 832, 914, 778, 576, 842
1. What is the LCM of 832, 914, 778, 576, 842?
Answer: LCM of 832, 914, 778, 576, 842 is 560420138304.
2. How to calculate the LCM of 832, 914, 778, 576, 842?
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, 914, 778, 576, 842.
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}.