LCM of 287, 451, 912, 914, 380
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 451, 912, 914, 380 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, 451, 912, 914, 380. So, keep reading to learn more.
Given numbers are 287,451,912,914,380
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,451,912,914,380 is 6578935440.
Find LCM of 287,451,912,914,380 with Prime Factorization
| 2 | 287, 451, 912, 914, 380 |
| 2 | 287, 451, 456, 457, 190 |
| 19 | 287, 451, 228, 457, 95 |
| 41 | 287, 451, 12, 457, 5 |
| 7, 11, 12, 457, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 19 x 41 x 7 x 11 x 12 x 457 x 5 = 6578935440
Therefore, the lowest common multiple of 287,451,912,914,380 is 6578935440.
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 451 x 912 x 914 x 380 = 40999925662080
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
451 : 1, 11, 41, 451
912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
914 : 1, 2, 457, 914
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,451,912,914,380, is 1.
Now, the common factors can be found like this.
287:7x 41
451:11x 41
912:2x 2x 2x 2x 3x 19
914:2x 457
380:2x 2x 5x 19
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 19x 41 = 6232
Therefore, the value for common factors is 6232.
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 = 40999925662080/(1x6232)
LCM = 40999925662080/6232
LCM = 6578935440
Thus, we can understand that the LCM of 287,451,912,914,380 is 6578935440.
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FAQs on LCM of 287, 451, 912, 914, 380
1. What is the LCM of 287, 451, 912, 914, 380?
Answer: LCM of 287, 451, 912, 914, 380 is 6578935440.
2. How to calculate the LCM of 287, 451, 912, 914, 380?
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, 451, 912, 914, 380.
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}.