Find the LCM of 355, 702, 323, 680, 286 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 355, 702, 323, 680, 286. So, keep reading to learn more.
Given numbers are 355,702,323,680,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 355,702,323,680,286 is 3541772520.
Find LCM of 355,702,323,680,286 with Prime Factorization
2 | 355, 702, 323, 680, 286 |
5 | 355, 351, 323, 340, 143 |
13 | 71, 351, 323, 68, 143 |
17 | 71, 27, 323, 68, 11 |
71, 27, 19, 4, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 13 x 17 x 71 x 27 x 19 x 4 x 11 = 3541772520
Therefore, the lowest common multiple of 355,702,323,680,286 is 3541772520.
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.
355 x 702 x 323 x 680 x 286 = 15654634538400
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.
355 : 1, 5, 71, 355
702 : 1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
323 : 1, 17, 19, 323
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
286 : 1, 2, 11, 13, 22, 26, 143, 286
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 355,702,323,680,286, is 1.
Now, the common factors can be found like this.
355:5x 71
702:2x 3x 3x 3x 13
323:17x 19
680:2x 2x 2x 5x 17
286:2x 11x 13
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 5x 13x 17 = 4420
Therefore, the value for common factors is 4420.
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 = 15654634538400/(1x4420)
LCM = 15654634538400/4420
LCM = 3541772520
Thus, we can understand that the LCM of 355,702,323,680,286 is 3541772520.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 355, 702, 323, 680, 286?
Answer: LCM of 355, 702, 323, 680, 286 is 3541772520.
2. How to calculate the LCM of 355, 702, 323, 680, 286?
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 355, 702, 323, 680, 286.
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}.