LCM of 287, 208, 351, 984
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 208, 351, 984 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, 208, 351, 984. So, keep reading to learn more.
Given numbers are 287,208,351,984
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,208,351,984 is 1611792.
Find LCM of 287,208,351,984 with Prime Factorization
| 2 | 287, 208, 351, 984 |
| 2 | 287, 104, 351, 492 |
| 2 | 287, 52, 351, 246 |
| 3 | 287, 26, 351, 123 |
| 13 | 287, 26, 117, 41 |
| 41 | 287, 2, 9, 41 |
| 7, 2, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 41 x 7 x 2 x 9 x 1 = 1611792
Therefore, the lowest common multiple of 287,208,351,984 is 1611792.
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 208 x 351 x 984 = 20618043264
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
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
351 : 1, 3, 9, 13, 27, 39, 117, 351
984 : 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,208,351,984, is 1.
Now, the common factors can be found like this.
287:7x 41
208:2x 2x 2x 2x 13
351:3x 3x 3x 13
984:2x 2x 2x 3x 41
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 3x 13x 41 = 12792
Therefore, the value for common factors is 12792.
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 = 20618043264/(1x12792)
LCM = 20618043264/12792
LCM = 1611792
Thus, we can understand that the LCM of 287,208,351,984 is 1611792.
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FAQs on LCM of 287, 208, 351, 984
1. What is the LCM of 287, 208, 351, 984?
Answer: LCM of 287, 208, 351, 984 is 1611792.
2. How to calculate the LCM of 287, 208, 351, 984?
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, 208, 351, 984.
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}.