Find the LCM of 736, 108, 866, 433 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 736, 108, 866, 433. So, keep reading to learn more.
Given numbers are 736,108,866,433
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 736,108,866,433 is 8604576.
Find LCM of 736,108,866,433 with Prime Factorization
2 | 736, 108, 866, 433 |
2 | 368, 54, 433, 433 |
433 | 184, 27, 433, 433 |
184, 27, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 433 x 184 x 27 x 1 x 1 = 8604576
Therefore, the lowest common multiple of 736,108,866,433 is 8604576.
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.
736 x 108 x 866 x 433 = 29806251264
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.
736 : 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
866 : 1, 2, 433, 866
433 : 1, 433
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 736,108,866,433, is 1.
Now, the common factors can be found like this.
736:2x 2x 2x 2x 2x 23
108:2x 2x 3x 3x 3
866:2x 433
433:433
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 433 = 3464
Therefore, the value for common factors is 3464.
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 = 29806251264/(1x3464)
LCM = 29806251264/3464
LCM = 8604576
Thus, we can understand that the LCM of 736,108,866,433 is 8604576.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 736, 108, 866, 433?
Answer: LCM of 736, 108, 866, 433 is 8604576.
2. How to calculate the LCM of 736, 108, 866, 433?
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 736, 108, 866, 433.
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}.