LCM of 414, 728, 508, 517, 829
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 414, 728, 508, 517, 829 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 414, 728, 508, 517, 829. So, keep reading to learn more.
Given numbers are 414,728,508,517,829
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 414,728,508,517,829 is 8202580842456.
Find LCM of 414,728,508,517,829 with Prime Factorization
| 2 | 414, 728, 508, 517, 829 |
| 2 | 207, 364, 254, 517, 829 |
| 207, 182, 127, 517, 829 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 207 x 182 x 127 x 517 x 829 = 8202580842456
Therefore, the lowest common multiple of 414,728,508,517,829 is 8202580842456.
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.
414 x 728 x 508 x 517 x 829 = 65620646739648
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.
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728
508 : 1, 2, 4, 127, 254, 508
517 : 1, 11, 47, 517
829 : 1, 829
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,728,508,517,829, is 1.
Now, the common factors can be found like this.
414:2x 3x 3x 23
728:2x 2x 2x 7x 13
508:2x 2x 127
517:11x 47
829:829
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 2 = 8
Therefore, the value for common factors is 8.
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 = 65620646739648/(1x8)
LCM = 65620646739648/8
LCM = 8202580842456
Thus, we can understand that the LCM of 414,728,508,517,829 is 8202580842456.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 414, 728, 508, 517, 829
1. What is the LCM of 414, 728, 508, 517, 829?
Answer: LCM of 414, 728, 508, 517, 829 is 8202580842456.
2. How to calculate the LCM of 414, 728, 508, 517, 829?
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 414, 728, 508, 517, 829.
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}.