LCM of 717, 246, 943, 271, 792
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 717, 246, 943, 271, 792 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, 246, 943, 271, 792. So, keep reading to learn more.
Given numbers are 717,246,943,271,792
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 717,246,943,271,792 is 48373116264.
Find LCM of 717,246,943,271,792 with Prime Factorization
| 2 | 717, 246, 943, 271, 792 |
| 3 | 717, 123, 943, 271, 396 |
| 41 | 239, 41, 943, 271, 132 |
| 239, 1, 23, 271, 132 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 41 x 239 x 1 x 23 x 271 x 132 = 48373116264
Therefore, the lowest common multiple of 717,246,943,271,792 is 48373116264.
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 246 x 943 x 271 x 792 = 35699359802832
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
246 : 1, 2, 3, 6, 41, 82, 123, 246
943 : 1, 23, 41, 943
271 : 1, 271
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 717,246,943,271,792, is 1.
Now, the common factors can be found like this.
717:3x 239
246:2x 3x 41
943:23x 41
271:271
792:2x 2x 2x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 41 = 738
Therefore, the value for common factors is 738.
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 = 35699359802832/(1x738)
LCM = 35699359802832/738
LCM = 48373116264
Thus, we can understand that the LCM of 717,246,943,271,792 is 48373116264.
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FAQs on LCM of 717, 246, 943, 271, 792
1. What is the LCM of 717, 246, 943, 271, 792?
Answer: LCM of 717, 246, 943, 271, 792 is 48373116264.
2. How to calculate the LCM of 717, 246, 943, 271, 792?
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, 246, 943, 271, 792.
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}.