Find the LCM of 902, 400, 446, 964, 287 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 902, 400, 446, 964, 287. So, keep reading to learn more.
Given numbers are 902,400,446,964,287
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,400,446,964,287 is 67866660400.
Find LCM of 902,400,446,964,287 with Prime Factorization
2 | 902, 400, 446, 964, 287 |
2 | 451, 200, 223, 482, 287 |
41 | 451, 100, 223, 241, 287 |
11, 100, 223, 241, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 41 x 11 x 100 x 223 x 241 x 7 = 67866660400
Therefore, the lowest common multiple of 902,400,446,964,287 is 67866660400.
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.
902 x 400 x 446 x 964 x 287 = 44520529222400
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
446 : 1, 2, 223, 446
964 : 1, 2, 4, 241, 482, 964
287 : 1, 7, 41, 287
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,400,446,964,287, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
400:2x 2x 2x 2x 5x 5
446:2x 223
964:2x 2x 241
287:7x 41
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 2x 41 = 656
Therefore, the value for common factors is 656.
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 = 44520529222400/(1x656)
LCM = 44520529222400/656
LCM = 67866660400
Thus, we can understand that the LCM of 902,400,446,964,287 is 67866660400.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 902, 400, 446, 964, 287?
Answer: LCM of 902, 400, 446, 964, 287 is 67866660400.
2. How to calculate the LCM of 902, 400, 446, 964, 287?
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 902, 400, 446, 964, 287.
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}.