LCM of 784, 418, 262, 806, 682
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 784, 418, 262, 806, 682 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, 418, 262, 806, 682. So, keep reading to learn more.
Given numbers are 784,418,262,806,682
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 784,418,262,806,682 is 8650449808.
Find LCM of 784,418,262,806,682 with Prime Factorization
| 2 | 784, 418, 262, 806, 682 |
| 11 | 392, 209, 131, 403, 341 |
| 31 | 392, 19, 131, 403, 31 |
| 392, 19, 131, 13, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 31 x 392 x 19 x 131 x 13 x 1 = 8650449808
Therefore, the lowest common multiple of 784,418,262,806,682 is 8650449808.
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 418 x 262 x 806 x 682 = 47196854152448
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
418 : 1, 2, 11, 19, 22, 38, 209, 418
262 : 1, 2, 131, 262
806 : 1, 2, 13, 26, 31, 62, 403, 806
682 : 1, 2, 11, 22, 31, 62, 341, 682
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 784,418,262,806,682, is 2.
Now, the common factors can be found like this.
784:2x 2x 2x 2x 7x 7
418:2x 11x 19
262:2x 131
806:2x 13x 31
682:2x 11x 31
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 11x 31 = 2728
Therefore, the value for common factors is 2728.
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 = 47196854152448/(2x2728)
LCM = 47196854152448/5456
LCM = 8650449808
Thus, we can understand that the LCM of 784,418,262,806,682 is 8650449808.
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FAQs on LCM of 784, 418, 262, 806, 682
1. What is the LCM of 784, 418, 262, 806, 682?
Answer: LCM of 784, 418, 262, 806, 682 is 8650449808.
2. How to calculate the LCM of 784, 418, 262, 806, 682?
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, 418, 262, 806, 682.
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}.