LCM of 508, 914, 170, 312, 914
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 508, 914, 170, 312, 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 508, 914, 170, 312, 914. So, keep reading to learn more.
Given numbers are 508,914,170,312,914
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 508,914,170,312,914 is 1539194280.
Find LCM of 508,914,170,312,914 with Prime Factorization
| 2 | 508, 914, 170, 312, 914 |
| 2 | 254, 457, 85, 156, 457 |
| 457 | 127, 457, 85, 78, 457 |
| 127, 1, 85, 78, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 457 x 127 x 1 x 85 x 78 x 1 = 1539194280
Therefore, the lowest common multiple of 508,914,170,312,914 is 1539194280.
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.
508 x 914 x 170 x 312 x 914 = 22509177150720
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.
508 : 1, 2, 4, 127, 254, 508
914 : 1, 2, 457, 914
170 : 1, 2, 5, 10, 17, 34, 85, 170
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
914 : 1, 2, 457, 914
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,914,170,312,914, is 2.
Now, the common factors can be found like this.
508:2x 2x 127
914:2x 457
170:2x 5x 17
312:2x 2x 2x 3x 13
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 2x 2x 457 = 7312
Therefore, the value for common factors is 7312.
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 = 22509177150720/(2x7312)
LCM = 22509177150720/14624
LCM = 1539194280
Thus, we can understand that the LCM of 508,914,170,312,914 is 1539194280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 508, 914, 170, 312, 914
1. What is the LCM of 508, 914, 170, 312, 914?
Answer: LCM of 508, 914, 170, 312, 914 is 1539194280.
2. How to calculate the LCM of 508, 914, 170, 312, 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 508, 914, 170, 312, 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}.