LCM of 845, 993, 515, 540, 286
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 845, 993, 515, 540, 286 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 845, 993, 515, 540, 286. So, keep reading to learn more.
Given numbers are 845,993,515,540,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 845,993,515,540,286 is 34224598980.
Find LCM of 845,993,515,540,286 with Prime Factorization
| 2 | 845, 993, 515, 540, 286 |
| 3 | 845, 993, 515, 270, 143 |
| 5 | 845, 331, 515, 90, 143 |
| 13 | 169, 331, 103, 18, 143 |
| 13, 331, 103, 18, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 13 x 331 x 103 x 18 x 11 = 34224598980
Therefore, the lowest common multiple of 845,993,515,540,286 is 34224598980.
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.
845 x 993 x 515 x 540 x 286 = 66737968011000
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.
845 : 1, 5, 13, 65, 169, 845
993 : 1, 3, 331, 993
515 : 1, 5, 103, 515
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 845,993,515,540,286, is 1.
Now, the common factors can be found like this.
845:5x 13x 13
993:3x 331
515:5x 103
540:2x 2x 3x 3x 3x 5
286:2x 11x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 13 = 1950
Therefore, the value for common factors is 1950.
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 = 66737968011000/(1x1950)
LCM = 66737968011000/1950
LCM = 34224598980
Thus, we can understand that the LCM of 845,993,515,540,286 is 34224598980.
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FAQs on LCM of 845, 993, 515, 540, 286
1. What is the LCM of 845, 993, 515, 540, 286?
Answer: LCM of 845, 993, 515, 540, 286 is 34224598980.
2. How to calculate the LCM of 845, 993, 515, 540, 286?
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 845, 993, 515, 540, 286.
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}.