Find the LCM of 359, 718, 391, 935 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 359, 718, 391, 935. So, keep reading to learn more.
Given numbers are 359,718,391,935
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 359,718,391,935 is 15440590.
Find LCM of 359,718,391,935 with Prime Factorization
17 | 359, 718, 391, 935 |
359 | 359, 718, 23, 55 |
1, 2, 23, 55 |
Multiply the prime numbers at the bottom and the left side.
17 x 359 x 1 x 2 x 23 x 55 = 15440590
Therefore, the lowest common multiple of 359,718,391,935 is 15440590.
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.
359 x 718 x 391 x 935 = 94233920770
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.
359 : 1, 359
718 : 1, 2, 359, 718
391 : 1, 17, 23, 391
935 : 1, 5, 11, 17, 55, 85, 187, 935
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 359,718,391,935, is 1.
Now, the common factors can be found like this.
359:359
718:2x 359
391:17x 23
935:5x 11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 359 = 6103
Therefore, the value for common factors is 6103.
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 = 94233920770/(1x6103)
LCM = 94233920770/6103
LCM = 15440590
Thus, we can understand that the LCM of 359,718,391,935 is 15440590.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 359, 718, 391, 935?
Answer: LCM of 359, 718, 391, 935 is 15440590.
2. How to calculate the LCM of 359, 718, 391, 935?
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 359, 718, 391, 935.
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}.