LCM of 208, 616, 595, 217, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 208, 616, 595, 217, 284 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 208, 616, 595, 217, 284. So, keep reading to learn more.
Given numbers are 208,616,595,217,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 208,616,595,217,284 is 2996353360.
Find LCM of 208,616,595,217,284 with Prime Factorization
| 2 | 208, 616, 595, 217, 284 |
| 2 | 104, 308, 595, 217, 142 |
| 2 | 52, 154, 595, 217, 71 |
| 7 | 26, 77, 595, 217, 71 |
| 26, 11, 85, 31, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 26 x 11 x 85 x 31 x 71 = 2996353360
Therefore, the lowest common multiple of 208,616,595,217,284 is 2996353360.
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.
208 x 616 x 595 x 217 x 284 = 4698282068480
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.
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
595 : 1, 5, 7, 17, 35, 85, 119, 595
217 : 1, 7, 31, 217
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 208,616,595,217,284, is 1.
Now, the common factors can be found like this.
208:2x 2x 2x 2x 13
616:2x 2x 2x 7x 11
595:5x 7x 17
217:7x 31
284:2x 2x 71
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 7x 7 = 1568
Therefore, the value for common factors is 1568.
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 = 4698282068480/(1x1568)
LCM = 4698282068480/1568
LCM = 2996353360
Thus, we can understand that the LCM of 208,616,595,217,284 is 2996353360.
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FAQs on LCM of 208, 616, 595, 217, 284
1. What is the LCM of 208, 616, 595, 217, 284?
Answer: LCM of 208, 616, 595, 217, 284 is 2996353360.
2. How to calculate the LCM of 208, 616, 595, 217, 284?
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 208, 616, 595, 217, 284.
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}.