Find the LCM of 787, 221, 802, 661, 819 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 787, 221, 802, 661, 819. So, keep reading to learn more.
Given numbers are 787,221,802,661,819
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 787,221,802,661,819 is 5808759332922.
Find LCM of 787,221,802,661,819 with Prime Factorization
13 | 787, 221, 802, 661, 819 |
787, 17, 802, 661, 63 |
Multiply the prime numbers at the bottom and the left side.
13 x 787 x 17 x 802 x 661 x 63 = 5808759332922
Therefore, the lowest common multiple of 787,221,802,661,819 is 5808759332922.
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.
787 x 221 x 802 x 661 x 819 = 75513871327986
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.
787 : 1, 787
221 : 1, 13, 17, 221
802 : 1, 2, 401, 802
661 : 1, 661
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 787,221,802,661,819, is 1.
Now, the common factors can be found like this.
787:787
221:13x 17
802:2x 401
661:661
819:3x 3x 7x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13 = 13
Therefore, the value for common factors is 13.
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 = 75513871327986/(1x13)
LCM = 75513871327986/13
LCM = 5808759332922
Thus, we can understand that the LCM of 787,221,802,661,819 is 5808759332922.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 787, 221, 802, 661, 819?
Answer: LCM of 787, 221, 802, 661, 819 is 5808759332922.
2. How to calculate the LCM of 787, 221, 802, 661, 819?
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 787, 221, 802, 661, 819.
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}.