Find the LCM of 286, 133, 287, 623, 897 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 286, 133, 287, 623, 897. So, keep reading to learn more.
Given numbers are 286,133,287,623,897
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 286,133,287,623,897 is 9577245678.
Find LCM of 286,133,287,623,897 with Prime Factorization
7 | 286, 133, 287, 623, 897 |
13 | 286, 19, 41, 89, 897 |
22, 19, 41, 89, 69 |
Multiply the prime numbers at the bottom and the left side.
7 x 13 x 22 x 19 x 41 x 89 x 69 = 9577245678
Therefore, the lowest common multiple of 286,133,287,623,897 is 9577245678.
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.
286 x 133 x 287 x 623 x 897 = 6100705496886
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.
286 : 1, 2, 11, 13, 22, 26, 143, 286
133 : 1, 7, 19, 133
287 : 1, 7, 41, 287
623 : 1, 7, 89, 623
897 : 1, 3, 13, 23, 39, 69, 299, 897
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,133,287,623,897, is 1.
Now, the common factors can be found like this.
286:2x 11x 13
133:7x 19
287:7x 41
623:7x 89
897:3x 13x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 13 = 637
Therefore, the value for common factors is 637.
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 = 6100705496886/(1x637)
LCM = 6100705496886/637
LCM = 9577245678
Thus, we can understand that the LCM of 286,133,287,623,897 is 9577245678.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 286, 133, 287, 623, 897?
Answer: LCM of 286, 133, 287, 623, 897 is 9577245678.
2. How to calculate the LCM of 286, 133, 287, 623, 897?
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 286, 133, 287, 623, 897.
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}.