LCM of 451, 990, 784, 227, 987
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 451, 990, 784, 227, 987 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 451, 990, 784, 227, 987. So, keep reading to learn more.
Given numbers are 451,990,784,227,987
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 451,990,784,227,987 is 169757446320.
Find LCM of 451,990,784,227,987 with Prime Factorization
| 2 | 451, 990, 784, 227, 987 |
| 3 | 451, 495, 392, 227, 987 |
| 7 | 451, 165, 392, 227, 329 |
| 11 | 451, 165, 56, 227, 47 |
| 41, 15, 56, 227, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 41 x 15 x 56 x 227 x 47 = 169757446320
Therefore, the lowest common multiple of 451,990,784,227,987 is 169757446320.
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.
451 x 990 x 784 x 227 x 987 = 78427940199840
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.
451 : 1, 11, 41, 451
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
227 : 1, 227
987 : 1, 3, 7, 21, 47, 141, 329, 987
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 451,990,784,227,987, is 1.
Now, the common factors can be found like this.
451:11x 41
990:2x 3x 3x 5x 11
784:2x 2x 2x 2x 7x 7
227:227
987:3x 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 3x 7x 11 = 462
Therefore, the value for common factors is 462.
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 = 78427940199840/(1x462)
LCM = 78427940199840/462
LCM = 169757446320
Thus, we can understand that the LCM of 451,990,784,227,987 is 169757446320.
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FAQs on LCM of 451, 990, 784, 227, 987
1. What is the LCM of 451, 990, 784, 227, 987?
Answer: LCM of 451, 990, 784, 227, 987 is 169757446320.
2. How to calculate the LCM of 451, 990, 784, 227, 987?
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 451, 990, 784, 227, 987.
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}.