Find the LCM of 190, 742, 636, 333, 794 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 190, 742, 636, 333, 794. So, keep reading to learn more.
Given numbers are 190,742,636,333,794
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 190,742,636,333,794 is 18637696980.
Find LCM of 190,742,636,333,794 with Prime Factorization
2 | 190, 742, 636, 333, 794 |
3 | 95, 371, 318, 333, 397 |
53 | 95, 371, 106, 111, 397 |
95, 7, 2, 111, 397 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 53 x 95 x 7 x 2 x 111 x 397 = 18637696980
Therefore, the lowest common multiple of 190,742,636,333,794 is 18637696980.
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.
190 x 742 x 636 x 333 x 794 = 23707150558560
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.
190 : 1, 2, 5, 10, 19, 38, 95, 190
742 : 1, 2, 7, 14, 53, 106, 371, 742
636 : 1, 2, 3, 4, 6, 12, 53, 106, 159, 212, 318, 636
333 : 1, 3, 9, 37, 111, 333
794 : 1, 2, 397, 794
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 190,742,636,333,794, is 1.
Now, the common factors can be found like this.
190:2x 5x 19
742:2x 7x 53
636:2x 2x 3x 53
333:3x 3x 37
794:2x 397
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 = 23707150558560/(1x1272)
LCM = 23707150558560/1272
LCM = 18637696980
Thus, we can understand that the LCM of 190,742,636,333,794 is 18637696980.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 190, 742, 636, 333, 794?
Answer: LCM of 190, 742, 636, 333, 794 is 18637696980.
2. How to calculate the LCM of 190, 742, 636, 333, 794?
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 190, 742, 636, 333, 794.
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}.