Find the LCM of 985, 515, 499, 998, 689 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 985, 515, 499, 998, 689. So, keep reading to learn more.
Given numbers are 985,515,499,998,689
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 985,515,499,998,689 is 69762690010.
Find LCM of 985,515,499,998,689 with Prime Factorization
5 | 985, 515, 499, 998, 689 |
499 | 197, 103, 499, 998, 689 |
197, 103, 1, 2, 689 |
Multiply the prime numbers at the bottom and the left side.
5 x 499 x 197 x 103 x 1 x 2 x 689 = 69762690010
Therefore, the lowest common multiple of 985,515,499,998,689 is 69762690010.
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.
985 x 515 x 499 x 998 x 689 = 174057911574950
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.
985 : 1, 5, 197, 985
515 : 1, 5, 103, 515
499 : 1, 499
998 : 1, 2, 499, 998
689 : 1, 13, 53, 689
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,515,499,998,689, is 1.
Now, the common factors can be found like this.
985:5x 197
515:5x 103
499:499
998:2x 499
689:13x 53
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 499 = 2495
Therefore, the value for common factors is 2495.
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 = 174057911574950/(1x2495)
LCM = 174057911574950/2495
LCM = 69762690010
Thus, we can understand that the LCM of 985,515,499,998,689 is 69762690010.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 985, 515, 499, 998, 689?
Answer: LCM of 985, 515, 499, 998, 689 is 69762690010.
2. How to calculate the LCM of 985, 515, 499, 998, 689?
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 985, 515, 499, 998, 689.
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}.