LCM of 871, 570, 799, 247, 272
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 871, 570, 799, 247, 272 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 871, 570, 799, 247, 272. So, keep reading to learn more.
Given numbers are 871,570,799,247,272
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 871,570,799,247,272 is 3173436240.
Find LCM of 871,570,799,247,272 with Prime Factorization
| 2 | 871, 570, 799, 247, 272 |
| 13 | 871, 285, 799, 247, 136 |
| 17 | 67, 285, 799, 19, 136 |
| 19 | 67, 285, 47, 19, 8 |
| 67, 15, 47, 1, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 19 x 67 x 15 x 47 x 1 x 8 = 3173436240
Therefore, the lowest common multiple of 871,570,799,247,272 is 3173436240.
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.
871 x 570 x 799 x 247 x 272 = 26650517543520
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.
871 : 1, 13, 67, 871
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
799 : 1, 17, 47, 799
247 : 1, 13, 19, 247
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 871,570,799,247,272, is 1.
Now, the common factors can be found like this.
871:13x 67
570:2x 3x 5x 19
799:17x 47
247:13x 19
272:2x 2x 2x 2x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 17x 19 = 8398
Therefore, the value for common factors is 8398.
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 = 26650517543520/(1x8398)
LCM = 26650517543520/8398
LCM = 3173436240
Thus, we can understand that the LCM of 871,570,799,247,272 is 3173436240.
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FAQs on LCM of 871, 570, 799, 247, 272
1. What is the LCM of 871, 570, 799, 247, 272?
Answer: LCM of 871, 570, 799, 247, 272 is 3173436240.
2. How to calculate the LCM of 871, 570, 799, 247, 272?
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 871, 570, 799, 247, 272.
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}.