Find the LCM of 211, 294, 469, 258, 228 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, 294, 469, 258, 228. So, keep reading to learn more.
Given numbers are 211,294,469,258,228
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 211,294,469,258,228 is 6791358252.
Find LCM of 211,294,469,258,228 with Prime Factorization
2 | 211, 294, 469, 258, 228 |
3 | 211, 147, 469, 129, 114 |
7 | 211, 49, 469, 43, 38 |
211, 7, 67, 43, 38 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 211 x 7 x 67 x 43 x 38 = 6791358252
Therefore, the lowest common multiple of 211,294,469,258,228 is 6791358252.
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 294 x 469 x 258 x 228 = 1711422279504
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
294 : 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
469 : 1, 7, 67, 469
258 : 1, 2, 3, 6, 43, 86, 129, 258
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 211,294,469,258,228, is 1.
Now, the common factors can be found like this.
211:211
294:2x 3x 7x 7
469:7x 67
258:2x 3x 43
228:2x 2x 3x 19
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 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 1711422279504/(1x252)
LCM = 1711422279504/252
LCM = 6791358252
Thus, we can understand that the LCM of 211,294,469,258,228 is 6791358252.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 211, 294, 469, 258, 228?
Answer: LCM of 211, 294, 469, 258, 228 is 6791358252.
2. How to calculate the LCM of 211, 294, 469, 258, 228?
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, 294, 469, 258, 228.
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}.