Find the LCM of 957, 898, 591, 509, 648 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 957, 898, 591, 509, 648. So, keep reading to learn more.
Given numbers are 957,898,591,509,648
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 957,898,591,509,648 is 9306706936824.
Find LCM of 957,898,591,509,648 with Prime Factorization
2 | 957, 898, 591, 509, 648 |
3 | 957, 449, 591, 509, 324 |
319, 449, 197, 509, 108 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 319 x 449 x 197 x 509 x 108 = 9306706936824
Therefore, the lowest common multiple of 957,898,591,509,648 is 9306706936824.
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.
957 x 898 x 591 x 509 x 648 = 167520724862832
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.
957 : 1, 3, 11, 29, 33, 87, 319, 957
898 : 1, 2, 449, 898
591 : 1, 3, 197, 591
509 : 1, 509
648 : 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 957,898,591,509,648, is 1.
Now, the common factors can be found like this.
957:3x 11x 29
898:2x 449
591:3x 197
509:509
648:2x 2x 2x 3x 3x 3x 3
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3 = 18
Therefore, the value for common factors is 18.
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 = 167520724862832/(1x18)
LCM = 167520724862832/18
LCM = 9306706936824
Thus, we can understand that the LCM of 957,898,591,509,648 is 9306706936824.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 957, 898, 591, 509, 648?
Answer: LCM of 957, 898, 591, 509, 648 is 9306706936824.
2. How to calculate the LCM of 957, 898, 591, 509, 648?
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 957, 898, 591, 509, 648.
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}.