Find the LCM of 774, 566, 106, 398, 636 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 774, 566, 106, 398, 636. So, keep reading to learn more.
Given numbers are 774,566,106,398,636
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 774,566,106,398,636 is 4620471948.
Find LCM of 774,566,106,398,636 with Prime Factorization
2 | 774, 566, 106, 398, 636 |
3 | 387, 283, 53, 199, 318 |
53 | 129, 283, 53, 199, 106 |
129, 283, 1, 199, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 53 x 129 x 283 x 1 x 199 x 2 = 4620471948
Therefore, the lowest common multiple of 774,566,106,398,636 is 4620471948.
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.
774 x 566 x 106 x 398 x 636 = 11754480635712
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.
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
566 : 1, 2, 283, 566
106 : 1, 2, 53, 106
398 : 1, 2, 199, 398
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 774,566,106,398,636, is 2.
Now, the common factors can be found like this.
774:2x 3x 3x 43
566:2x 283
106:2x 53
398:2x 199
636:2x 2x 3x 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 53 = 1272
Therefore, the value for common factors is 1272.
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 = 11754480635712/(2x1272)
LCM = 11754480635712/2544
LCM = 4620471948
Thus, we can understand that the LCM of 774,566,106,398,636 is 4620471948.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 774, 566, 106, 398, 636?
Answer: LCM of 774, 566, 106, 398, 636 is 4620471948.
2. How to calculate the LCM of 774, 566, 106, 398, 636?
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 774, 566, 106, 398, 636.
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}.