Find the LCM of 818, 763, 650, 718, 842 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 818, 763, 650, 718, 842. So, keep reading to learn more.
Given numbers are 818,763,650,718,842
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 818,763,650,718,842 is 30657571303450.
Find LCM of 818,763,650,718,842 with Prime Factorization
2 | 818, 763, 650, 718, 842 |
409, 763, 325, 359, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 409 x 763 x 325 x 359 x 421 = 30657571303450
Therefore, the lowest common multiple of 818,763,650,718,842 is 30657571303450.
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.
818 x 763 x 650 x 718 x 842 = 245260570427600
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.
818 : 1, 2, 409, 818
763 : 1, 7, 109, 763
650 : 1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
718 : 1, 2, 359, 718
842 : 1, 2, 421, 842
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 818,763,650,718,842, is 1.
Now, the common factors can be found like this.
818:2x 409
763:7x 109
650:2x 5x 5x 13
718:2x 359
842:2x 421
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 2 = 8
Therefore, the value for common factors is 8.
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 = 245260570427600/(1x8)
LCM = 245260570427600/8
LCM = 30657571303450
Thus, we can understand that the LCM of 818,763,650,718,842 is 30657571303450.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 818, 763, 650, 718, 842?
Answer: LCM of 818, 763, 650, 718, 842 is 30657571303450.
2. How to calculate the LCM of 818, 763, 650, 718, 842?
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 818, 763, 650, 718, 842.
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}.