Find the LCM of 817, 682, 695, 247, 496 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 817, 682, 695, 247, 496. So, keep reading to learn more.
Given numbers are 817,682,695,247,496
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 817,682,695,247,496 is 40273982320.
Find LCM of 817,682,695,247,496 with Prime Factorization
2 | 817, 682, 695, 247, 496 |
19 | 817, 341, 695, 247, 248 |
31 | 43, 341, 695, 13, 248 |
43, 11, 695, 13, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 31 x 43 x 11 x 695 x 13 x 8 = 40273982320
Therefore, the lowest common multiple of 817,682,695,247,496 is 40273982320.
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.
817 x 682 x 695 x 247 x 496 = 47442751172960
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.
817 : 1, 19, 43, 817
682 : 1, 2, 11, 22, 31, 62, 341, 682
695 : 1, 5, 139, 695
247 : 1, 13, 19, 247
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 817,682,695,247,496, is 1.
Now, the common factors can be found like this.
817:19x 43
682:2x 11x 31
695:5x 139
247:13x 19
496:2x 2x 2x 2x 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 19x 31 = 1178
Therefore, the value for common factors is 1178.
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 = 47442751172960/(1x1178)
LCM = 47442751172960/1178
LCM = 40273982320
Thus, we can understand that the LCM of 817,682,695,247,496 is 40273982320.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 817, 682, 695, 247, 496?
Answer: LCM of 817, 682, 695, 247, 496 is 40273982320.
2. How to calculate the LCM of 817, 682, 695, 247, 496?
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 817, 682, 695, 247, 496.
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}.