LCM of 287, 396, 578, 464, 917
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 396, 578, 464, 917 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 287, 396, 578, 464, 917. So, keep reading to learn more.
Given numbers are 287,396,578,464,917
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,396,578,464,917 is 499119123888.
Find LCM of 287,396,578,464,917 with Prime Factorization
| 2 | 287, 396, 578, 464, 917 |
| 2 | 287, 198, 289, 232, 917 |
| 7 | 287, 99, 289, 116, 917 |
| 41, 99, 289, 116, 131 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 41 x 99 x 289 x 116 x 131 = 499119123888
Therefore, the lowest common multiple of 287,396,578,464,917 is 499119123888.
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.
287 x 396 x 578 x 464 x 917 = 27950670937728
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.
287 : 1, 7, 41, 287
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
578 : 1, 2, 17, 34, 289, 578
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
917 : 1, 7, 131, 917
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,396,578,464,917, is 1.
Now, the common factors can be found like this.
287:7x 41
396:2x 2x 3x 3x 11
578:2x 17x 17
464:2x 2x 2x 2x 29
917:7x 131
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 7 = 56
Therefore, the value for common factors is 56.
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 = 27950670937728/(1x56)
LCM = 27950670937728/56
LCM = 499119123888
Thus, we can understand that the LCM of 287,396,578,464,917 is 499119123888.
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FAQs on LCM of 287, 396, 578, 464, 917
1. What is the LCM of 287, 396, 578, 464, 917?
Answer: LCM of 287, 396, 578, 464, 917 is 499119123888.
2. How to calculate the LCM of 287, 396, 578, 464, 917?
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 287, 396, 578, 464, 917.
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}.