LCM of 860, 286, 510, 308, 617
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 860, 286, 510, 308, 617 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 860, 286, 510, 308, 617. So, keep reading to learn more.
Given numbers are 860,286,510,308,617
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 860,286,510,308,617 is 27088681620.
Find LCM of 860,286,510,308,617 with Prime Factorization
| 2 | 860, 286, 510, 308, 617 |
| 2 | 430, 143, 255, 154, 617 |
| 5 | 215, 143, 255, 77, 617 |
| 11 | 43, 143, 51, 77, 617 |
| 43, 13, 51, 7, 617 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 11 x 43 x 13 x 51 x 7 x 617 = 27088681620
Therefore, the lowest common multiple of 860,286,510,308,617 is 27088681620.
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.
860 x 286 x 510 x 308 x 617 = 23838039825600
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.
860 : 1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860
286 : 1, 2, 11, 13, 22, 26, 143, 286
510 : 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
617 : 1, 617
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 860,286,510,308,617, is 1.
Now, the common factors can be found like this.
860:2x 2x 5x 43
286:2x 11x 13
510:2x 3x 5x 17
308:2x 2x 7x 11
617:617
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 5x 11 = 880
Therefore, the value for common factors is 880.
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 = 23838039825600/(1x880)
LCM = 23838039825600/880
LCM = 27088681620
Thus, we can understand that the LCM of 860,286,510,308,617 is 27088681620.
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FAQs on LCM of 860, 286, 510, 308, 617
1. What is the LCM of 860, 286, 510, 308, 617?
Answer: LCM of 860, 286, 510, 308, 617 is 27088681620.
2. How to calculate the LCM of 860, 286, 510, 308, 617?
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 860, 286, 510, 308, 617.
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}.