LCM of 829, 715, 495, 384, 727
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 829, 715, 495, 384, 727 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 829, 715, 495, 384, 727. So, keep reading to learn more.
Given numbers are 829,715,495,384,727
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 829,715,495,384,727 is 496417933440.
Find LCM of 829,715,495,384,727 with Prime Factorization
| 3 | 829, 715, 495, 384, 727 |
| 5 | 829, 715, 165, 128, 727 |
| 11 | 829, 143, 33, 128, 727 |
| 829, 13, 3, 128, 727 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 11 x 829 x 13 x 3 x 128 x 727 = 496417933440
Therefore, the lowest common multiple of 829,715,495,384,727 is 496417933440.
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.
829 x 715 x 495 x 384 x 727 = 81908959017600
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.
829 : 1, 829
715 : 1, 5, 11, 13, 55, 65, 143, 715
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
384 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384
727 : 1, 727
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 829,715,495,384,727, is 1.
Now, the common factors can be found like this.
829:829
715:5x 11x 13
495:3x 3x 5x 11
384:2x 2x 2x 2x 2x 2x 2x 3
727:727
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 11 = 165
Therefore, the value for common factors is 165.
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 = 81908959017600/(1x165)
LCM = 81908959017600/165
LCM = 496417933440
Thus, we can understand that the LCM of 829,715,495,384,727 is 496417933440.
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FAQs on LCM of 829, 715, 495, 384, 727
1. What is the LCM of 829, 715, 495, 384, 727?
Answer: LCM of 829, 715, 495, 384, 727 is 496417933440.
2. How to calculate the LCM of 829, 715, 495, 384, 727?
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 829, 715, 495, 384, 727.
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}.