LCM of 729, 792, 963, 417
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 729, 792, 963, 417 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 729, 792, 963, 417. So, keep reading to learn more.
Given numbers are 729,792,963,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,792,963,417 is 954132696.
Find LCM of 729,792,963,417 with Prime Factorization
| 3 | 729, 792, 963, 417 |
| 3 | 243, 264, 321, 139 |
| 81, 88, 107, 139 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 81 x 88 x 107 x 139 = 954132696
Therefore, the lowest common multiple of 729,792,963,417 is 954132696.
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.
729 x 792 x 963 x 417 = 231854245128
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.
729 : 1, 3, 9, 27, 81, 243, 729
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
963 : 1, 3, 9, 107, 321, 963
417 : 1, 3, 139, 417
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,792,963,417, is 3.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
792:2x 2x 2x 3x 3x 11
963:3x 3x 107
417:3x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3 = 81
Therefore, the value for common factors is 81.
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 = 231854245128/(3x81)
LCM = 231854245128/243
LCM = 954132696
Thus, we can understand that the LCM of 729,792,963,417 is 954132696.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 729, 792, 963, 417
1. What is the LCM of 729, 792, 963, 417?
Answer: LCM of 729, 792, 963, 417 is 954132696.
2. How to calculate the LCM of 729, 792, 963, 417?
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 729, 792, 963, 417.
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}.