Find the LCM of 873, 477, 556, 536, 106 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 873, 477, 556, 536, 106. So, keep reading to learn more.
Given numbers are 873,477,556,536,106
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 873,477,556,536,106 is 3447225576.
Find LCM of 873,477,556,536,106 with Prime Factorization
2 | 873, 477, 556, 536, 106 |
2 | 873, 477, 278, 268, 53 |
3 | 873, 477, 139, 134, 53 |
3 | 291, 159, 139, 134, 53 |
53 | 97, 53, 139, 134, 53 |
97, 1, 139, 134, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 53 x 97 x 1 x 139 x 134 x 1 = 3447225576
Therefore, the lowest common multiple of 873,477,556,536,106 is 3447225576.
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.
873 x 477 x 556 x 536 x 106 = 13154612798016
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.
873 : 1, 3, 9, 97, 291, 873
477 : 1, 3, 9, 53, 159, 477
556 : 1, 2, 4, 139, 278, 556
536 : 1, 2, 4, 8, 67, 134, 268, 536
106 : 1, 2, 53, 106
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 873,477,556,536,106, is 1.
Now, the common factors can be found like this.
873:3x 3x 97
477:3x 3x 53
556:2x 2x 139
536:2x 2x 2x 67
106:2x 53
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 3x 3x 53 = 3816
Therefore, the value for common factors is 3816.
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 = 13154612798016/(1x3816)
LCM = 13154612798016/3816
LCM = 3447225576
Thus, we can understand that the LCM of 873,477,556,536,106 is 3447225576.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 873, 477, 556, 536, 106?
Answer: LCM of 873, 477, 556, 536, 106 is 3447225576.
2. How to calculate the LCM of 873, 477, 556, 536, 106?
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 873, 477, 556, 536, 106.
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}.