Find the LCM of 244, 234, 429, 583, 209 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 244, 234, 429, 583, 209. So, keep reading to learn more.
Given numbers are 244,234,429,583,209
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 244,234,429,583,209 is 316226196.
Find LCM of 244,234,429,583,209 with Prime Factorization
2 | 244, 234, 429, 583, 209 |
3 | 122, 117, 429, 583, 209 |
11 | 122, 39, 143, 583, 209 |
13 | 122, 39, 13, 53, 19 |
122, 3, 1, 53, 19 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 13 x 122 x 3 x 1 x 53 x 19 = 316226196
Therefore, the lowest common multiple of 244,234,429,583,209 is 316226196.
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.
244 x 234 x 429 x 583 x 209 = 2984542837848
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.
244 : 1, 2, 4, 61, 122, 244
234 : 1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234
429 : 1, 3, 11, 13, 33, 39, 143, 429
583 : 1, 11, 53, 583
209 : 1, 11, 19, 209
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 244,234,429,583,209, is 1.
Now, the common factors can be found like this.
244:2x 2x 61
234:2x 3x 3x 13
429:3x 11x 13
583:11x 53
209:11x 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 3x 11x 11x 13 = 9438
Therefore, the value for common factors is 9438.
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 = 2984542837848/(1x9438)
LCM = 2984542837848/9438
LCM = 316226196
Thus, we can understand that the LCM of 244,234,429,583,209 is 316226196.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 244, 234, 429, 583, 209?
Answer: LCM of 244, 234, 429, 583, 209 is 316226196.
2. How to calculate the LCM of 244, 234, 429, 583, 209?
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 244, 234, 429, 583, 209.
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}.