Find the LCM of 418, 682, 817, 274, 786 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 418, 682, 817, 274, 786. So, keep reading to learn more.
Given numbers are 418,682,817,274,786
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 418,682,817,274,786 is 29999882154.
Find LCM of 418,682,817,274,786 with Prime Factorization
2 | 418, 682, 817, 274, 786 |
11 | 209, 341, 817, 137, 393 |
19 | 19, 31, 817, 137, 393 |
1, 31, 43, 137, 393 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 19 x 1 x 31 x 43 x 137 x 393 = 29999882154
Therefore, the lowest common multiple of 418,682,817,274,786 is 29999882154.
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.
418 x 682 x 817 x 274 x 786 = 50159802961488
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.
418 : 1, 2, 11, 19, 22, 38, 209, 418
682 : 1, 2, 11, 22, 31, 62, 341, 682
817 : 1, 19, 43, 817
274 : 1, 2, 137, 274
786 : 1, 2, 3, 6, 131, 262, 393, 786
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 418,682,817,274,786, is 1.
Now, the common factors can be found like this.
418:2x 11x 19
682:2x 11x 31
817:19x 43
274:2x 137
786:2x 3x 131
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 19 = 1672
Therefore, the value for common factors is 1672.
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 = 50159802961488/(1x1672)
LCM = 50159802961488/1672
LCM = 29999882154
Thus, we can understand that the LCM of 418,682,817,274,786 is 29999882154.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 418, 682, 817, 274, 786?
Answer: LCM of 418, 682, 817, 274, 786 is 29999882154.
2. How to calculate the LCM of 418, 682, 817, 274, 786?
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 418, 682, 817, 274, 786.
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}.