LCM of 352, 816, 814, 391
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 352, 816, 814, 391 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 352, 816, 814, 391. So, keep reading to learn more.
Given numbers are 352,816,814,391
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 352,816,814,391 is 15277152.
Find LCM of 352,816,814,391 with Prime Factorization
| 2 | 352, 816, 814, 391 |
| 2 | 176, 408, 407, 391 |
| 2 | 88, 204, 407, 391 |
| 2 | 44, 102, 407, 391 |
| 11 | 22, 51, 407, 391 |
| 17 | 2, 51, 37, 391 |
| 2, 3, 37, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 11 x 17 x 2 x 3 x 37 x 23 = 15277152
Therefore, the lowest common multiple of 352,816,814,391 is 15277152.
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.
352 x 816 x 814 x 391 = 91418477568
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.
352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
814 : 1, 2, 11, 22, 37, 74, 407, 814
391 : 1, 17, 23, 391
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 352,816,814,391, is 1.
Now, the common factors can be found like this.
352:2x 2x 2x 2x 2x 11
816:2x 2x 2x 2x 3x 17
814:2x 11x 37
391:17x 23
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 11x 17 = 5984
Therefore, the value for common factors is 5984.
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 = 91418477568/(1x5984)
LCM = 91418477568/5984
LCM = 15277152
Thus, we can understand that the LCM of 352,816,814,391 is 15277152.
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FAQs on LCM of 352, 816, 814, 391
1. What is the LCM of 352, 816, 814, 391?
Answer: LCM of 352, 816, 814, 391 is 15277152.
2. How to calculate the LCM of 352, 816, 814, 391?
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 352, 816, 814, 391.
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}.