LCM of 284, 148, 614, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 284, 148, 614, 814 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 284, 148, 614, 814. So, keep reading to learn more.
Given numbers are 284,148,614,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 284,148,614,814 is 35485516.
Find LCM of 284,148,614,814 with Prime Factorization
| 2 | 284, 148, 614, 814 |
| 2 | 142, 74, 307, 407 |
| 37 | 71, 37, 307, 407 |
| 71, 1, 307, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 37 x 71 x 1 x 307 x 11 = 35485516
Therefore, the lowest common multiple of 284,148,614,814 is 35485516.
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.
284 x 148 x 614 x 814 = 21007425472
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.
284 : 1, 2, 4, 71, 142, 284
148 : 1, 2, 4, 37, 74, 148
614 : 1, 2, 307, 614
814 : 1, 2, 11, 22, 37, 74, 407, 814
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,148,614,814, is 2.
Now, the common factors can be found like this.
284:2x 2x 71
148:2x 2x 37
614:2x 307
814:2x 11x 37
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 37 = 296
Therefore, the value for common factors is 296.
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 = 21007425472/(2x296)
LCM = 21007425472/592
LCM = 35485516
Thus, we can understand that the LCM of 284,148,614,814 is 35485516.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 284, 148, 614, 814
1. What is the LCM of 284, 148, 614, 814?
Answer: LCM of 284, 148, 614, 814 is 35485516.
2. How to calculate the LCM of 284, 148, 614, 814?
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 284, 148, 614, 814.
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}.