Find the LCM of 697, 387, 831, 819, 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 697, 387, 831, 819, 286. So, keep reading to learn more.
Given numbers are 697,387,831,819,286
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,387,831,819,286 is 149584841406.
Find LCM of 697,387,831,819,286 with Prime Factorization
3 | 697, 387, 831, 819, 286 |
3 | 697, 129, 277, 273, 286 |
13 | 697, 43, 277, 91, 286 |
697, 43, 277, 7, 22 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 13 x 697 x 43 x 277 x 7 x 22 = 149584841406
Therefore, the lowest common multiple of 697,387,831,819,286 is 149584841406.
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.
697 x 387 x 831 x 819 x 286 = 52504279333506
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.
697 : 1, 17, 41, 697
387 : 1, 3, 9, 43, 129, 387
831 : 1, 3, 277, 831
819 : 1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819
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 697,387,831,819,286, is 1.
Now, the common factors can be found like this.
697:17x 41
387:3x 3x 43
831:3x 277
819:3x 3x 7x 13
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.
3x 3x 3x 13 = 351
Therefore, the value for common factors is 351.
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 = 52504279333506/(1x351)
LCM = 52504279333506/351
LCM = 149584841406
Thus, we can understand that the LCM of 697,387,831,819,286 is 149584841406.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 697, 387, 831, 819, 286?
Answer: LCM of 697, 387, 831, 819, 286 is 149584841406.
2. How to calculate the LCM of 697, 387, 831, 819, 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 697, 387, 831, 819, 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}.