LCM of 287, 414, 621, 946, 784
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 287, 414, 621, 946, 784 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, 414, 621, 946, 784. So, keep reading to learn more.
Given numbers are 287,414,621,946,784
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 287,414,621,946,784 is 9441753552.
Find LCM of 287,414,621,946,784 with Prime Factorization
| 2 | 287, 414, 621, 946, 784 |
| 3 | 287, 207, 621, 473, 392 |
| 3 | 287, 69, 207, 473, 392 |
| 7 | 287, 23, 69, 473, 392 |
| 23 | 41, 23, 69, 473, 56 |
| 41, 1, 3, 473, 56 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 23 x 41 x 1 x 3 x 473 x 56 = 9441753552
Therefore, the lowest common multiple of 287,414,621,946,784 is 9441753552.
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 414 x 621 x 946 x 784 = 54724403587392
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
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
621 : 1, 3, 9, 23, 27, 69, 207, 621
946 : 1, 2, 11, 22, 43, 86, 473, 946
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 287,414,621,946,784, is 1.
Now, the common factors can be found like this.
287:7x 41
414:2x 3x 3x 23
621:3x 3x 3x 23
946:2x 11x 43
784:2x 2x 2x 2x 7x 7
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 3x 7x 23 = 5796
Therefore, the value for common factors is 5796.
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 = 54724403587392/(1x5796)
LCM = 54724403587392/5796
LCM = 9441753552
Thus, we can understand that the LCM of 287,414,621,946,784 is 9441753552.
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FAQs on LCM of 287, 414, 621, 946, 784
1. What is the LCM of 287, 414, 621, 946, 784?
Answer: LCM of 287, 414, 621, 946, 784 is 9441753552.
2. How to calculate the LCM of 287, 414, 621, 946, 784?
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, 414, 621, 946, 784.
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}.