Find the LCM of 210, 717, 306, 697, 845 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 210, 717, 306, 697, 845. So, keep reading to learn more.
Given numbers are 210,717,306,697,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 210,717,306,697,845 is 17736092010.
Find LCM of 210,717,306,697,845 with Prime Factorization
2 | 210, 717, 306, 697, 845 |
3 | 105, 717, 153, 697, 845 |
5 | 35, 239, 51, 697, 845 |
17 | 7, 239, 51, 697, 169 |
7, 239, 3, 41, 169 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 17 x 7 x 239 x 3 x 41 x 169 = 17736092010
Therefore, the lowest common multiple of 210,717,306,697,845 is 17736092010.
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.
210 x 717 x 306 x 697 x 845 = 27136220775300
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.
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
717 : 1, 3, 239, 717
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
697 : 1, 17, 41, 697
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 210,717,306,697,845, is 1.
Now, the common factors can be found like this.
210:2x 3x 5x 7
717:3x 239
306:2x 3x 3x 17
697:17x 41
845:5x 13x 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 3x 3x 5x 17 = 1530
Therefore, the value for common factors is 1530.
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 = 27136220775300/(1x1530)
LCM = 27136220775300/1530
LCM = 17736092010
Thus, we can understand that the LCM of 210,717,306,697,845 is 17736092010.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 210, 717, 306, 697, 845?
Answer: LCM of 210, 717, 306, 697, 845 is 17736092010.
2. How to calculate the LCM of 210, 717, 306, 697, 845?
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 210, 717, 306, 697, 845.
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}.