LCM of 114, 699, 622, 288
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 114, 699, 622, 288 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 114, 699, 622, 288. So, keep reading to learn more.
Given numbers are 114,699,622,288
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 114,699,622,288 is 396517536.
Find LCM of 114,699,622,288 with Prime Factorization
| 2 | 114, 699, 622, 288 |
| 3 | 57, 699, 311, 144 |
| 19, 233, 311, 48 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 233 x 311 x 48 = 396517536
Therefore, the lowest common multiple of 114,699,622,288 is 396517536.
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.
114 x 699 x 622 x 288 = 14274631296
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.
114 : 1, 2, 3, 6, 19, 38, 57, 114
699 : 1, 3, 233, 699
622 : 1, 2, 311, 622
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 114,699,622,288, is 1.
Now, the common factors can be found like this.
114:2x 3x 19
699:3x 233
622:2x 311
288:2x 2x 2x 2x 2x 3x 3
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 14274631296/(1x36)
LCM = 14274631296/36
LCM = 396517536
Thus, we can understand that the LCM of 114,699,622,288 is 396517536.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 114, 699, 622, 288
1. What is the LCM of 114, 699, 622, 288?
Answer: LCM of 114, 699, 622, 288 is 396517536.
2. How to calculate the LCM of 114, 699, 622, 288?
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 114, 699, 622, 288.
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}.