Find the LCM of 697, 185, 899, 957 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 697, 185, 899, 957. So, keep reading to learn more.
Given numbers are 697,185,899,957
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 697,185,899,957 is 3825411315.
Find LCM of 697,185,899,957 with Prime Factorization
29 | 697, 185, 899, 957 |
697, 185, 31, 33 |
Multiply the prime numbers at the bottom and the left side.
29 x 697 x 185 x 31 x 33 = 3825411315
Therefore, the lowest common multiple of 697,185,899,957 is 3825411315.
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.
697 x 185 x 899 x 957 = 110936928135
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.
697 : 1, 17, 41, 697
185 : 1, 5, 37, 185
899 : 1, 29, 31, 899
957 : 1, 3, 11, 29, 33, 87, 319, 957
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 697,185,899,957, is 1.
Now, the common factors can be found like this.
697:17x 41
185:5x 37
899:29x 31
957:3x 11x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
29 = 29
Therefore, the value for common factors is 29.
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 = 110936928135/(1x29)
LCM = 110936928135/29
LCM = 3825411315
Thus, we can understand that the LCM of 697,185,899,957 is 3825411315.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 697, 185, 899, 957?
Answer: LCM of 697, 185, 899, 957 is 3825411315.
2. How to calculate the LCM of 697, 185, 899, 957?
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 697, 185, 899, 957.
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}.