Find the LCM of 211, 651, 622, 195, 434 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 211, 651, 622, 195, 434. So, keep reading to learn more.
Given numbers are 211,651,622,195,434
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 211,651,622,195,434 is 5553505230.
Find LCM of 211,651,622,195,434 with Prime Factorization
2 | 211, 651, 622, 195, 434 |
3 | 211, 651, 311, 195, 217 |
7 | 211, 217, 311, 65, 217 |
31 | 211, 31, 311, 65, 31 |
211, 1, 311, 65, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 31 x 211 x 1 x 311 x 65 x 1 = 5553505230
Therefore, the lowest common multiple of 211,651,622,195,434 is 5553505230.
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.
211 x 651 x 622 x 195 x 434 = 7230663809460
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.
211 : 1, 211
651 : 1, 3, 7, 21, 31, 93, 217, 651
622 : 1, 2, 311, 622
195 : 1, 3, 5, 13, 15, 39, 65, 195
434 : 1, 2, 7, 14, 31, 62, 217, 434
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,651,622,195,434, is 1.
Now, the common factors can be found like this.
211:211
651:3x 7x 31
622:2x 311
195:3x 5x 13
434:2x 7x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 31 = 1302
Therefore, the value for common factors is 1302.
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 = 7230663809460/(1x1302)
LCM = 7230663809460/1302
LCM = 5553505230
Thus, we can understand that the LCM of 211,651,622,195,434 is 5553505230.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 211, 651, 622, 195, 434?
Answer: LCM of 211, 651, 622, 195, 434 is 5553505230.
2. How to calculate the LCM of 211, 651, 622, 195, 434?
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 211, 651, 622, 195, 434.
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}.