Find the LCM of 111, 819, 870, 506, 772 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 111, 819, 870, 506, 772. So, keep reading to learn more.
Given numbers are 111,819,870,506,772
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 111,819,870,506,772 is 858205808460.
Find LCM of 111,819,870,506,772 with Prime Factorization
2 | 111, 819, 870, 506, 772 |
3 | 111, 819, 435, 253, 386 |
37, 273, 145, 253, 386 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 37 x 273 x 145 x 253 x 386 = 858205808460
Therefore, the lowest common multiple of 111,819,870,506,772 is 858205808460.
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.
111 x 819 x 870 x 506 x 772 = 30895409104560
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.
111 : 1, 3, 37, 111
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
870 : 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
506 : 1, 2, 11, 22, 23, 46, 253, 506
772 : 1, 2, 4, 193, 386, 772
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 111,819,870,506,772, is 1.
Now, the common factors can be found like this.
111:3x 37
819:3x 3x 7x 13
870:2x 3x 5x 29
506:2x 11x 23
772:2x 2x 193
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 3x 3 = 36
Therefore, the value for common factors is 36.
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 = 30895409104560/(1x36)
LCM = 30895409104560/36
LCM = 858205808460
Thus, we can understand that the LCM of 111,819,870,506,772 is 858205808460.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 111, 819, 870, 506, 772?
Answer: LCM of 111, 819, 870, 506, 772 is 858205808460.
2. How to calculate the LCM of 111, 819, 870, 506, 772?
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 111, 819, 870, 506, 772.
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}.