LCM of 914, 135, 414, 914
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 914, 135, 414, 914 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 914, 135, 414, 914. So, keep reading to learn more.
Given numbers are 914,135,414,914
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 914,135,414,914 is 2837970.
Find LCM of 914,135,414,914 with Prime Factorization
| 2 | 914, 135, 414, 914 |
| 3 | 457, 135, 207, 457 |
| 3 | 457, 45, 69, 457 |
| 457 | 457, 15, 23, 457 |
| 1, 15, 23, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 457 x 1 x 15 x 23 x 1 = 2837970
Therefore, the lowest common multiple of 914,135,414,914 is 2837970.
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.
914 x 135 x 414 x 914 = 46690282440
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.
914 : 1, 2, 457, 914
135 : 1, 3, 5, 9, 15, 27, 45, 135
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
914 : 1, 2, 457, 914
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 914,135,414,914, is 1.
Now, the common factors can be found like this.
914:2x 457
135:3x 3x 3x 5
414:2x 3x 3x 23
914:2x 457
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 3x 457 = 16452
Therefore, the value for common factors is 16452.
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 = 46690282440/(1x16452)
LCM = 46690282440/16452
LCM = 2837970
Thus, we can understand that the LCM of 914,135,414,914 is 2837970.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 914, 135, 414, 914
1. What is the LCM of 914, 135, 414, 914?
Answer: LCM of 914, 135, 414, 914 is 2837970.
2. How to calculate the LCM of 914, 135, 414, 914?
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 914, 135, 414, 914.
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}.