LCM of 391, 442, 819, 799, 272
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 391, 442, 819, 799, 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 391, 442, 819, 799, 272. So, keep reading to learn more.
Given numbers are 391,442,819,799,272
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,442,819,799,272 is 240812208.
Find LCM of 391,442,819,799,272 with Prime Factorization
| 2 | 391, 442, 819, 799, 272 |
| 13 | 391, 221, 819, 799, 136 |
| 17 | 391, 17, 63, 799, 136 |
| 23, 1, 63, 47, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 23 x 1 x 63 x 47 x 8 = 240812208
Therefore, the lowest common multiple of 391,442,819,799,272 is 240812208.
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.
391 x 442 x 819 x 799 x 272 = 30760869825504
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.
391 : 1, 17, 23, 391
442 : 1, 2, 13, 17, 26, 34, 221, 442
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
799 : 1, 17, 47, 799
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 391,442,819,799,272, is 1.
Now, the common factors can be found like this.
391:17x 23
442:2x 13x 17
819:3x 3x 7x 13
799:17x 47
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 17x 17 = 127738
Therefore, the value for common factors is 127738.
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 = 30760869825504/(1x127738)
LCM = 30760869825504/127738
LCM = 240812208
Thus, we can understand that the LCM of 391,442,819,799,272 is 240812208.
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FAQs on LCM of 391, 442, 819, 799, 272
1. What is the LCM of 391, 442, 819, 799, 272?
Answer: LCM of 391, 442, 819, 799, 272 is 240812208.
2. How to calculate the LCM of 391, 442, 819, 799, 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 391, 442, 819, 799, 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}.