LCM of 729, 917, 465, 312, 403
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 729, 917, 465, 312, 403 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, 917, 465, 312, 403. So, keep reading to learn more.
Given numbers are 729,917,465,312,403
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 729,917,465,312,403 is 10776107160.
Find LCM of 729,917,465,312,403 with Prime Factorization
| 3 | 729, 917, 465, 312, 403 |
| 13 | 243, 917, 155, 104, 403 |
| 31 | 243, 917, 155, 8, 31 |
| 243, 917, 5, 8, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 31 x 243 x 917 x 5 x 8 x 1 = 10776107160
Therefore, the lowest common multiple of 729,917,465,312,403 is 10776107160.
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 917 x 465 x 312 x 403 = 39084940669320
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
917 : 1, 7, 131, 917
465 : 1, 3, 5, 15, 31, 93, 155, 465
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
403 : 1, 13, 31, 403
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 729,917,465,312,403, is 1.
Now, the common factors can be found like this.
729:3x 3x 3x 3x 3x 3
917:7x 131
465:3x 5x 31
312:2x 2x 2x 3x 13
403:13x 31
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 13x 31 = 3627
Therefore, the value for common factors is 3627.
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 = 39084940669320/(1x3627)
LCM = 39084940669320/3627
LCM = 10776107160
Thus, we can understand that the LCM of 729,917,465,312,403 is 10776107160.
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FAQs on LCM of 729, 917, 465, 312, 403
1. What is the LCM of 729, 917, 465, 312, 403?
Answer: LCM of 729, 917, 465, 312, 403 is 10776107160.
2. How to calculate the LCM of 729, 917, 465, 312, 403?
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, 917, 465, 312, 403.
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}.