Find the LCM of 915, 544, 896, 340, 685 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 915, 544, 896, 340, 685. So, keep reading to learn more.
Given numbers are 915,544,896,340,685
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 915,544,896,340,685 is 1909407360.
Find LCM of 915,544,896,340,685 with Prime Factorization
2 | 915, 544, 896, 340, 685 |
2 | 915, 272, 448, 170, 685 |
2 | 915, 136, 224, 85, 685 |
2 | 915, 68, 112, 85, 685 |
2 | 915, 34, 56, 85, 685 |
5 | 915, 17, 28, 85, 685 |
17 | 183, 17, 28, 17, 137 |
183, 1, 28, 1, 137 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 5 x 17 x 183 x 1 x 28 x 1 x 137 = 1909407360
Therefore, the lowest common multiple of 915,544,896,340,685 is 1909407360.
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.
915 x 544 x 896 x 340 x 685 = 103871760384000
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.
915 : 1, 3, 5, 15, 61, 183, 305, 915
544 : 1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
685 : 1, 5, 137, 685
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 915,544,896,340,685, is 1.
Now, the common factors can be found like this.
915:3x 5x 61
544:2x 2x 2x 2x 2x 17
896:2x 2x 2x 2x 2x 2x 2x 7
340:2x 2x 5x 17
685:5x 137
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 2x 2x 2x 2x 2x 5x 5x 17 = 54400
Therefore, the value for common factors is 54400.
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 = 103871760384000/(1x54400)
LCM = 103871760384000/54400
LCM = 1909407360
Thus, we can understand that the LCM of 915,544,896,340,685 is 1909407360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 915, 544, 896, 340, 685?
Answer: LCM of 915, 544, 896, 340, 685 is 1909407360.
2. How to calculate the LCM of 915, 544, 896, 340, 685?
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 915, 544, 896, 340, 685.
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}.