LCM of 617, 628, 260, 442, 284
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 617, 628, 260, 442, 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 617, 628, 260, 442, 284. So, keep reading to learn more.
Given numbers are 617,628,260,442,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 617,628,260,442,284 is 30399429580.
Find LCM of 617,628,260,442,284 with Prime Factorization
| 2 | 617, 628, 260, 442, 284 |
| 2 | 617, 314, 130, 221, 142 |
| 13 | 617, 157, 65, 221, 71 |
| 617, 157, 5, 17, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 617 x 157 x 5 x 17 x 71 = 30399429580
Therefore, the lowest common multiple of 617,628,260,442,284 is 30399429580.
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.
617 x 628 x 260 x 442 x 284 = 12646162705280
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.
617 : 1, 617
628 : 1, 2, 4, 157, 314, 628
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
442 : 1, 2, 13, 17, 26, 34, 221, 442
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 617,628,260,442,284, is 1.
Now, the common factors can be found like this.
617:617
628:2x 2x 157
260:2x 2x 5x 13
442:2x 13x 17
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 13 = 416
Therefore, the value for common factors is 416.
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 = 12646162705280/(1x416)
LCM = 12646162705280/416
LCM = 30399429580
Thus, we can understand that the LCM of 617,628,260,442,284 is 30399429580.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 617, 628, 260, 442, 284
1. What is the LCM of 617, 628, 260, 442, 284?
Answer: LCM of 617, 628, 260, 442, 284 is 30399429580.
2. How to calculate the LCM of 617, 628, 260, 442, 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 617, 628, 260, 442, 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}.