Find the LCM of 313, 515, 697, 697, 843 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 313, 515, 697, 697, 843. So, keep reading to learn more.
Given numbers are 313,515,697,697,843
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 313,515,697,697,843 is 94713507345.
Find LCM of 313,515,697,697,843 with Prime Factorization
17 | 313, 515, 697, 697, 843 |
41 | 313, 515, 41, 41, 843 |
313, 515, 1, 1, 843 |
Multiply the prime numbers at the bottom and the left side.
17 x 41 x 313 x 515 x 1 x 1 x 843 = 94713507345
Therefore, the lowest common multiple of 313,515,697,697,843 is 94713507345.
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.
313 x 515 x 697 x 697 x 843 = 66015314619465
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.
313 : 1, 313
515 : 1, 5, 103, 515
697 : 1, 17, 41, 697
697 : 1, 17, 41, 697
843 : 1, 3, 281, 843
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,515,697,697,843, is 1.
Now, the common factors can be found like this.
313:313
515:5x 103
697:17x 41
697:17x 41
843:3x 281
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 41 = 697
Therefore, the value for common factors is 697.
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 = 66015314619465/(1x697)
LCM = 66015314619465/697
LCM = 94713507345
Thus, we can understand that the LCM of 313,515,697,697,843 is 94713507345.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 313, 515, 697, 697, 843?
Answer: LCM of 313, 515, 697, 697, 843 is 94713507345.
2. How to calculate the LCM of 313, 515, 697, 697, 843?
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 313, 515, 697, 697, 843.
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}.