LCM of 784, 414, 216, 886
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 414, 216, 886 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 784, 414, 216, 886. So, keep reading to learn more.
Given numbers are 784,414,216,886
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,414,216,886 is 215680752.
Find LCM of 784,414,216,886 with Prime Factorization
| 2 | 784, 414, 216, 886 |
| 2 | 392, 207, 108, 443 |
| 2 | 196, 207, 54, 443 |
| 3 | 98, 207, 27, 443 |
| 3 | 98, 69, 9, 443 |
| 98, 23, 3, 443 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 98 x 23 x 3 x 443 = 215680752
Therefore, the lowest common multiple of 784,414,216,886 is 215680752.
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.
784 x 414 x 216 x 886 = 62116056576
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.
784 : 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
216 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
886 : 1, 2, 443, 886
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,414,216,886, is 2.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
414:2x 3x 3x 23
216:2x 2x 2x 3x 3x 3
886:2x 443
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 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 62116056576/(2x144)
LCM = 62116056576/288
LCM = 215680752
Thus, we can understand that the LCM of 784,414,216,886 is 215680752.
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FAQs on LCM of 784, 414, 216, 886
1. What is the LCM of 784, 414, 216, 886?
Answer: LCM of 784, 414, 216, 886 is 215680752.
2. How to calculate the LCM of 784, 414, 216, 886?
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 784, 414, 216, 886.
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}.