LCM of 280, 646, 987, 285, 658
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 280, 646, 987, 285, 658 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 280, 646, 987, 285, 658. So, keep reading to learn more.
Given numbers are 280,646,987,285,658
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 280,646,987,285,658 is 12752040.
Find LCM of 280,646,987,285,658 with Prime Factorization
| 2 | 280, 646, 987, 285, 658 |
| 3 | 140, 323, 987, 285, 329 |
| 5 | 140, 323, 329, 95, 329 |
| 7 | 28, 323, 329, 19, 329 |
| 19 | 4, 323, 47, 19, 47 |
| 47 | 4, 17, 47, 1, 47 |
| 4, 17, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 19 x 47 x 4 x 17 x 1 x 1 x 1 = 12752040
Therefore, the lowest common multiple of 280,646,987,285,658 is 12752040.
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.
280 x 646 x 987 x 285 x 658 = 33479460856800
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.
280 : 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
646 : 1, 2, 17, 19, 34, 38, 323, 646
987 : 1, 3, 7, 21, 47, 141, 329, 987
285 : 1, 3, 5, 15, 19, 57, 95, 285
658 : 1, 2, 7, 14, 47, 94, 329, 658
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 280,646,987,285,658, is 1.
Now, the common factors can be found like this.
280:2x 2x 2x 5x 7
646:2x 17x 19
987:3x 7x 47
285:3x 5x 19
658:2x 7x 47
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 5x 7x 7x 19x 47 = 2625420
Therefore, the value for common factors is 2625420.
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 = 33479460856800/(1x2625420)
LCM = 33479460856800/2625420
LCM = 12752040
Thus, we can understand that the LCM of 280,646,987,285,658 is 12752040.
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FAQs on LCM of 280, 646, 987, 285, 658
1. What is the LCM of 280, 646, 987, 285, 658?
Answer: LCM of 280, 646, 987, 285, 658 is 12752040.
2. How to calculate the LCM of 280, 646, 987, 285, 658?
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 280, 646, 987, 285, 658.
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}.