LCM of 568, 272, 731, 376, 817
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 568, 272, 731, 376, 817 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 568, 272, 731, 376, 817. So, keep reading to learn more.
Given numbers are 568,272,731,376,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 568,272,731,376,817 is 741561488.
Find LCM of 568,272,731,376,817 with Prime Factorization
| 2 | 568, 272, 731, 376, 817 |
| 2 | 284, 136, 731, 188, 817 |
| 2 | 142, 68, 731, 94, 817 |
| 17 | 71, 34, 731, 47, 817 |
| 43 | 71, 2, 43, 47, 817 |
| 71, 2, 1, 47, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 17 x 43 x 71 x 2 x 1 x 47 x 19 = 741561488
Therefore, the lowest common multiple of 568,272,731,376,817 is 741561488.
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.
568 x 272 x 731 x 376 x 817 = 34693212654592
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.
568 : 1, 2, 4, 8, 71, 142, 284, 568
272 : 1, 2, 4, 8, 16, 17, 34, 68, 136, 272
731 : 1, 17, 43, 731
376 : 1, 2, 4, 8, 47, 94, 188, 376
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,272,731,376,817, is 1.
Now, the common factors can be found like this.
568:2x 2x 2x 71
272:2x 2x 2x 2x 17
731:17x 43
376:2x 2x 2x 47
817:19x 43
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 17x 43 = 46784
Therefore, the value for common factors is 46784.
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 = 34693212654592/(1x46784)
LCM = 34693212654592/46784
LCM = 741561488
Thus, we can understand that the LCM of 568,272,731,376,817 is 741561488.
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FAQs on LCM of 568, 272, 731, 376, 817
1. What is the LCM of 568, 272, 731, 376, 817?
Answer: LCM of 568, 272, 731, 376, 817 is 741561488.
2. How to calculate the LCM of 568, 272, 731, 376, 817?
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 568, 272, 731, 376, 817.
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}.