Find the LCM of 287, 676, 351, 616, 460 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, 676, 351, 616, 460. So, keep reading to learn more.
Given numbers are 287,676,351,616,460
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,676,351,616,460 is 13252959720.
Find LCM of 287,676,351,616,460 with Prime Factorization
2 | 287, 676, 351, 616, 460 |
2 | 287, 338, 351, 308, 230 |
7 | 287, 169, 351, 154, 115 |
13 | 41, 169, 351, 22, 115 |
41, 13, 27, 22, 115 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 41 x 13 x 27 x 22 x 115 = 13252959720
Therefore, the lowest common multiple of 287,676,351,616,460 is 13252959720.
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 676 x 351 x 616 x 460 = 19296309352320
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
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
351 : 1, 3, 9, 13, 27, 39, 117, 351
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,676,351,616,460, is 1.
Now, the common factors can be found like this.
287:7x 41
676:2x 2x 13x 13
351:3x 3x 3x 13
616:2x 2x 2x 7x 11
460:2x 2x 5x 23
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 2x 7x 13 = 1456
Therefore, the value for common factors is 1456.
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 = 19296309352320/(1x1456)
LCM = 19296309352320/1456
LCM = 13252959720
Thus, we can understand that the LCM of 287,676,351,616,460 is 13252959720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 287, 676, 351, 616, 460?
Answer: LCM of 287, 676, 351, 616, 460 is 13252959720.
2. How to calculate the LCM of 287, 676, 351, 616, 460?
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, 676, 351, 616, 460.
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}.