Find the LCM of 887, 935, 574, 697 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 887, 935, 574, 697. So, keep reading to learn more.
Given numbers are 887,935,574,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 887,935,574,697 is 476044030.
Find LCM of 887,935,574,697 with Prime Factorization
17 | 887, 935, 574, 697 |
41 | 887, 55, 574, 41 |
887, 55, 14, 1 |
Multiply the prime numbers at the bottom and the left side.
17 x 41 x 887 x 55 x 14 x 1 = 476044030
Therefore, the lowest common multiple of 887,935,574,697 is 476044030.
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.
887 x 935 x 574 x 697 = 331802688910
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.
887 : 1, 887
935 : 1, 5, 11, 17, 55, 85, 187, 935
574 : 1, 2, 7, 14, 41, 82, 287, 574
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 887,935,574,697, is 1.
Now, the common factors can be found like this.
887:887
935:5x 11x 17
574:2x 7x 41
697:17x 41
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 = 331802688910/(1x697)
LCM = 331802688910/697
LCM = 476044030
Thus, we can understand that the LCM of 887,935,574,697 is 476044030.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 887, 935, 574, 697?
Answer: LCM of 887, 935, 574, 697 is 476044030.
2. How to calculate the LCM of 887, 935, 574, 697?
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 887, 935, 574, 697.
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}.