LCM of 717, 288, 772, 272, 104
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 288, 772, 272, 104 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 717, 288, 772, 272, 104. So, keep reading to learn more.
Given numbers are 717,288,772,272,104
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,288,772,272,104 is 2935891296.
Find LCM of 717,288,772,272,104 with Prime Factorization
| 2 | 717, 288, 772, 272, 104 |
| 2 | 717, 144, 386, 136, 52 |
| 2 | 717, 72, 193, 68, 26 |
| 2 | 717, 36, 193, 34, 13 |
| 3 | 717, 18, 193, 17, 13 |
| 239, 6, 193, 17, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 239 x 6 x 193 x 17 x 13 = 2935891296
Therefore, the lowest common multiple of 717,288,772,272,104 is 2935891296.
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.
717 x 288 x 772 x 272 x 104 = 4509529030656
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.
717 : 1, 3, 239, 717
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
772 : 1, 2, 4, 193, 386, 772
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
104 : 1, 2, 4, 8, 13, 26, 52, 104
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,288,772,272,104, is 1.
Now, the common factors can be found like this.
717:3x 239
288:2x 2x 2x 2x 2x 3x 3
772:2x 2x 193
272:2x 2x 2x 2x 17
104:2x 2x 2x 13
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 2x 2x 2x 2x 2x 3 = 1536
Therefore, the value for common factors is 1536.
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 = 4509529030656/(1x1536)
LCM = 4509529030656/1536
LCM = 2935891296
Thus, we can understand that the LCM of 717,288,772,272,104 is 2935891296.
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FAQs on LCM of 717, 288, 772, 272, 104
1. What is the LCM of 717, 288, 772, 272, 104?
Answer: LCM of 717, 288, 772, 272, 104 is 2935891296.
2. How to calculate the LCM of 717, 288, 772, 272, 104?
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 717, 288, 772, 272, 104.
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}.