Find the LCM of 341, 166, 972, 814, 206 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 341, 166, 972, 814, 206. So, keep reading to learn more.
Given numbers are 341,166,972,814,206
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 341,166,972,814,206 is 104842576476.
Find LCM of 341,166,972,814,206 with Prime Factorization
2 | 341, 166, 972, 814, 206 |
11 | 341, 83, 486, 407, 103 |
31, 83, 486, 37, 103 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 31 x 83 x 486 x 37 x 103 = 104842576476
Therefore, the lowest common multiple of 341,166,972,814,206 is 104842576476.
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.
341 x 166 x 972 x 814 x 206 = 9226146729888
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.
341 : 1, 11, 31, 341
166 : 1, 2, 83, 166
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
814 : 1, 2, 11, 22, 37, 74, 407, 814
206 : 1, 2, 103, 206
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,166,972,814,206, is 1.
Now, the common factors can be found like this.
341:11x 31
166:2x 83
972:2x 2x 3x 3x 3x 3x 3
814:2x 11x 37
206:2x 103
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 11 = 88
Therefore, the value for common factors is 88.
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 = 9226146729888/(1x88)
LCM = 9226146729888/88
LCM = 104842576476
Thus, we can understand that the LCM of 341,166,972,814,206 is 104842576476.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 341, 166, 972, 814, 206?
Answer: LCM of 341, 166, 972, 814, 206 is 104842576476.
2. How to calculate the LCM of 341, 166, 972, 814, 206?
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 341, 166, 972, 814, 206.
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}.