Find the LCM of 680, 135, 286, 248, 217 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 680, 135, 286, 248, 217. So, keep reading to learn more.
Given numbers are 680,135,286,248,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 680,135,286,248,217 is 569729160.
Find LCM of 680,135,286,248,217 with Prime Factorization
2 | 680, 135, 286, 248, 217 |
2 | 340, 135, 143, 124, 217 |
2 | 170, 135, 143, 62, 217 |
5 | 85, 135, 143, 31, 217 |
31 | 17, 27, 143, 31, 217 |
17, 27, 143, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 31 x 17 x 27 x 143 x 1 x 7 = 569729160
Therefore, the lowest common multiple of 680,135,286,248,217 is 569729160.
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.
680 x 135 x 286 x 248 x 217 = 1412928316800
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.
680 : 1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
135 : 1, 3, 5, 9, 15, 27, 45, 135
286 : 1, 2, 11, 13, 22, 26, 143, 286
248 : 1, 2, 4, 8, 31, 62, 124, 248
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 680,135,286,248,217, is 1.
Now, the common factors can be found like this.
680:2x 2x 2x 5x 17
135:3x 3x 3x 5
286:2x 11x 13
248:2x 2x 2x 31
217:7x 31
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 5x 31 = 2480
Therefore, the value for common factors is 2480.
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 = 1412928316800/(1x2480)
LCM = 1412928316800/2480
LCM = 569729160
Thus, we can understand that the LCM of 680,135,286,248,217 is 569729160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 680, 135, 286, 248, 217?
Answer: LCM of 680, 135, 286, 248, 217 is 569729160.
2. How to calculate the LCM of 680, 135, 286, 248, 217?
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 680, 135, 286, 248, 217.
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}.