Find the LCM of 663, 286, 287, 286, 361 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 663, 286, 287, 286, 361. So, keep reading to learn more.
Given numbers are 663,286,287,286,361
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 663,286,287,286,361 is 1511211702.
Find LCM of 663,286,287,286,361 with Prime Factorization
2 | 663, 286, 287, 286, 361 |
11 | 663, 143, 287, 143, 361 |
13 | 663, 13, 287, 13, 361 |
51, 1, 287, 1, 361 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 13 x 51 x 1 x 287 x 1 x 361 = 1511211702
Therefore, the lowest common multiple of 663,286,287,286,361 is 1511211702.
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.
663 x 286 x 287 x 286 x 361 = 5618685108036
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.
663 : 1, 3, 13, 17, 39, 51, 221, 663
286 : 1, 2, 11, 13, 22, 26, 143, 286
287 : 1, 7, 41, 287
286 : 1, 2, 11, 13, 22, 26, 143, 286
361 : 1, 19, 361
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 663,286,287,286,361, is 1.
Now, the common factors can be found like this.
663:3x 13x 17
286:2x 11x 13
287:7x 41
286:2x 11x 13
361:19x 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 11x 13x 13 = 3718
Therefore, the value for common factors is 3718.
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 = 5618685108036/(1x3718)
LCM = 5618685108036/3718
LCM = 1511211702
Thus, we can understand that the LCM of 663,286,287,286,361 is 1511211702.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 663, 286, 287, 286, 361?
Answer: LCM of 663, 286, 287, 286, 361 is 1511211702.
2. How to calculate the LCM of 663, 286, 287, 286, 361?
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 663, 286, 287, 286, 361.
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}.