Find the LCM of 487, 874, 695, 986, 970 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 487, 874, 695, 986, 970. So, keep reading to learn more.
Given numbers are 487,874,695,986,970
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 487,874,695,986,970 is 14146332184610.
Find LCM of 487,874,695,986,970 with Prime Factorization
2 | 487, 874, 695, 986, 970 |
5 | 487, 437, 695, 493, 485 |
487, 437, 139, 493, 97 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 487 x 437 x 139 x 493 x 97 = 14146332184610
Therefore, the lowest common multiple of 487,874,695,986,970 is 14146332184610.
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.
487 x 874 x 695 x 986 x 970 = 282926643692200
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.
487 : 1, 487
874 : 1, 2, 19, 23, 38, 46, 437, 874
695 : 1, 5, 139, 695
986 : 1, 2, 17, 29, 34, 58, 493, 986
970 : 1, 2, 5, 10, 97, 194, 485, 970
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 487,874,695,986,970, is 1.
Now, the common factors can be found like this.
487:487
874:2x 19x 23
695:5x 139
986:2x 17x 29
970:2x 5x 97
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 5 = 20
Therefore, the value for common factors is 20.
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 = 282926643692200/(1x20)
LCM = 282926643692200/20
LCM = 14146332184610
Thus, we can understand that the LCM of 487,874,695,986,970 is 14146332184610.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 487, 874, 695, 986, 970?
Answer: LCM of 487, 874, 695, 986, 970 is 14146332184610.
2. How to calculate the LCM of 487, 874, 695, 986, 970?
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 487, 874, 695, 986, 970.
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}.