LCM of 114, 228, 250, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 114, 228, 250, 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 114, 228, 250, 814. So, keep reading to learn more.
Given numbers are 114,228,250,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 114,228,250,814 is 11599500.
Find LCM of 114,228,250,814 with Prime Factorization
| 2 | 114, 228, 250, 814 |
| 3 | 57, 114, 125, 407 |
| 19 | 19, 38, 125, 407 |
| 1, 2, 125, 407 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 19 x 1 x 2 x 125 x 407 = 11599500
Therefore, the lowest common multiple of 114,228,250,814 is 11599500.
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 228 x 250 x 814 = 5289372000
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
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
250 : 1, 2, 5, 10, 25, 50, 125, 250
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 114,228,250,814, is 2.
Now, the common factors can be found like this.
114:2x 3x 19
228:2x 2x 3x 19
250:2x 5x 5x 5
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 3x 19 = 228
Therefore, the value for common factors is 228.
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 = 5289372000/(2x228)
LCM = 5289372000/456
LCM = 11599500
Thus, we can understand that the LCM of 114,228,250,814 is 11599500.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 114, 228, 250, 814
1. What is the LCM of 114, 228, 250, 814?
Answer: LCM of 114, 228, 250, 814 is 11599500.
2. How to calculate the LCM of 114, 228, 250, 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 114, 228, 250, 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}.