LCM of 305, 518, 867, 798, 992
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 305, 518, 867, 798, 992 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 305, 518, 867, 798, 992. So, keep reading to learn more.
Given numbers are 305,518,867,798,992
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 305,518,867,798,992 is 1290874357920.
Find LCM of 305,518,867,798,992 with Prime Factorization
| 2 | 305, 518, 867, 798, 992 |
| 3 | 305, 259, 867, 399, 496 |
| 7 | 305, 259, 289, 133, 496 |
| 305, 37, 289, 19, 496 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 305 x 37 x 289 x 19 x 496 = 1290874357920
Therefore, the lowest common multiple of 305,518,867,798,992 is 1290874357920.
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.
305 x 518 x 867 x 798 x 992 = 108433446065280
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.
305 : 1, 5, 61, 305
518 : 1, 2, 7, 14, 37, 74, 259, 518
867 : 1, 3, 17, 51, 289, 867
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 305,518,867,798,992, is 1.
Now, the common factors can be found like this.
305:5x 61
518:2x 7x 37
867:3x 17x 17
798:2x 3x 7x 19
992:2x 2x 2x 2x 2x 31
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 3x 7 = 84
Therefore, the value for common factors is 84.
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 = 108433446065280/(1x84)
LCM = 108433446065280/84
LCM = 1290874357920
Thus, we can understand that the LCM of 305,518,867,798,992 is 1290874357920.
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FAQs on LCM of 305, 518, 867, 798, 992
1. What is the LCM of 305, 518, 867, 798, 992?
Answer: LCM of 305, 518, 867, 798, 992 is 1290874357920.
2. How to calculate the LCM of 305, 518, 867, 798, 992?
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 305, 518, 867, 798, 992.
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}.