Find the LCM of 249, 608, 800, 913, 492 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 249, 608, 800, 913, 492. So, keep reading to learn more.
Given numbers are 249,608,800,913,492
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 249,608,800,913,492 is 1706944800.
Find LCM of 249,608,800,913,492 with Prime Factorization
2 | 249, 608, 800, 913, 492 |
2 | 249, 304, 400, 913, 246 |
2 | 249, 152, 200, 913, 123 |
2 | 249, 76, 100, 913, 123 |
2 | 249, 38, 50, 913, 123 |
3 | 249, 19, 25, 913, 123 |
83 | 83, 19, 25, 913, 41 |
1, 19, 25, 11, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 83 x 1 x 19 x 25 x 11 x 41 = 1706944800
Therefore, the lowest common multiple of 249,608,800,913,492 is 1706944800.
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.
249 x 608 x 800 x 913 x 492 = 54403744665600
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.
249 : 1, 3, 83, 249
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
913 : 1, 11, 83, 913
492 : 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,608,800,913,492, is 1.
Now, the common factors can be found like this.
249:3x 83
608:2x 2x 2x 2x 2x 19
800:2x 2x 2x 2x 2x 5x 5
913:11x 83
492:2x 2x 3x 41
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 2x 2x 2x 2x 3x 83 = 31872
Therefore, the value for common factors is 31872.
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 = 54403744665600/(1x31872)
LCM = 54403744665600/31872
LCM = 1706944800
Thus, we can understand that the LCM of 249,608,800,913,492 is 1706944800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 249, 608, 800, 913, 492?
Answer: LCM of 249, 608, 800, 913, 492 is 1706944800.
2. How to calculate the LCM of 249, 608, 800, 913, 492?
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 249, 608, 800, 913, 492.
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}.