Find the LCM of 249, 909, 667, 220, 284 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 249, 909, 667, 220, 284. So, keep reading to learn more.
Given numbers are 249,909,667,220,284
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 249,909,667,220,284 is 786047587380.
Find LCM of 249,909,667,220,284 with Prime Factorization
2 | 249, 909, 667, 220, 284 |
2 | 249, 909, 667, 110, 142 |
3 | 249, 909, 667, 55, 71 |
83, 303, 667, 55, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 83 x 303 x 667 x 55 x 71 = 786047587380
Therefore, the lowest common multiple of 249,909,667,220,284 is 786047587380.
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.
249 x 909 x 667 x 220 x 284 = 9432571048560
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.
249 : 1, 3, 83, 249
909 : 1, 3, 9, 101, 303, 909
667 : 1, 23, 29, 667
220 : 1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
284 : 1, 2, 4, 71, 142, 284
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 249,909,667,220,284, is 1.
Now, the common factors can be found like this.
249:3x 83
909:3x 3x 101
667:23x 29
220:2x 2x 5x 11
284:2x 2x 71
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 3 = 12
Therefore, the value for common factors is 12.
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 = 9432571048560/(1x12)
LCM = 9432571048560/12
LCM = 786047587380
Thus, we can understand that the LCM of 249,909,667,220,284 is 786047587380.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 249, 909, 667, 220, 284?
Answer: LCM of 249, 909, 667, 220, 284 is 786047587380.
2. How to calculate the LCM of 249, 909, 667, 220, 284?
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 249, 909, 667, 220, 284.
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}.