Find the LCM of 414, 101, 822, 148, 259 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 414, 101, 822, 148, 259. So, keep reading to learn more.
Given numbers are 414,101,822,148,259
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 414,101,822,148,259 is 2967372324.
Find LCM of 414,101,822,148,259 with Prime Factorization
2 | 414, 101, 822, 148, 259 |
3 | 207, 101, 411, 74, 259 |
37 | 69, 101, 137, 74, 259 |
69, 101, 137, 2, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 37 x 69 x 101 x 137 x 2 x 7 = 2967372324
Therefore, the lowest common multiple of 414,101,822,148,259 is 2967372324.
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.
414 x 101 x 822 x 148 x 259 = 1317513311856
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.
414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
101 : 1, 101
822 : 1, 2, 3, 6, 137, 274, 411, 822
148 : 1, 2, 4, 37, 74, 148
259 : 1, 7, 37, 259
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 414,101,822,148,259, is 1.
Now, the common factors can be found like this.
414:2x 3x 3x 23
101:101
822:2x 3x 137
148:2x 2x 37
259:7x 37
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 3x 37 = 444
Therefore, the value for common factors is 444.
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 = 1317513311856/(1x444)
LCM = 1317513311856/444
LCM = 2967372324
Thus, we can understand that the LCM of 414,101,822,148,259 is 2967372324.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 414, 101, 822, 148, 259?
Answer: LCM of 414, 101, 822, 148, 259 is 2967372324.
2. How to calculate the LCM of 414, 101, 822, 148, 259?
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 414, 101, 822, 148, 259.
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}.