Find the LCM of 428, 935, 493, 607 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 428, 935, 493, 607. So, keep reading to learn more.
Given numbers are 428,935,493,607
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 428,935,493,607 is 7044368540.
Find LCM of 428,935,493,607 with Prime Factorization
17 | 428, 935, 493, 607 |
428, 55, 29, 607 |
Multiply the prime numbers at the bottom and the left side.
17 x 428 x 55 x 29 x 607 = 7044368540
Therefore, the lowest common multiple of 428,935,493,607 is 7044368540.
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.
428 x 935 x 493 x 607 = 119754265180
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.
428 : 1, 2, 4, 107, 214, 428
935 : 1, 5, 11, 17, 55, 85, 187, 935
493 : 1, 17, 29, 493
607 : 1, 607
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 428,935,493,607, is 1.
Now, the common factors can be found like this.
428:2x 2x 107
935:5x 11x 17
493:17x 29
607:607
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17 = 17
Therefore, the value for common factors is 17.
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 = 119754265180/(1x17)
LCM = 119754265180/17
LCM = 7044368540
Thus, we can understand that the LCM of 428,935,493,607 is 7044368540.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 428, 935, 493, 607?
Answer: LCM of 428, 935, 493, 607 is 7044368540.
2. How to calculate the LCM of 428, 935, 493, 607?
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 428, 935, 493, 607.
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}.