Find the LCM of 896, 810, 918, 852 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 896, 810, 918, 852. So, keep reading to learn more.
Given numbers are 896,810,918,852
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 896,810,918,852 is 437996160.
Find LCM of 896,810,918,852 with Prime Factorization
2 | 896, 810, 918, 852 |
2 | 448, 405, 459, 426 |
3 | 224, 405, 459, 213 |
3 | 224, 135, 153, 71 |
3 | 224, 45, 51, 71 |
224, 15, 17, 71 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 224 x 15 x 17 x 71 = 437996160
Therefore, the lowest common multiple of 896,810,918,852 is 437996160.
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.
896 x 810 x 918 x 852 = 567643023360
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.
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 896,810,918,852, is 2.
Now, the common factors can be found like this.
896:2x 2x 2x 2x 2x 2x 2x 7
810:2x 3x 3x 3x 3x 5
918:2x 3x 3x 3x 17
852:2x 2x 3x 71
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 3x 3x 3x 3 = 648
Therefore, the value for common factors is 648.
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 = 567643023360/(2x648)
LCM = 567643023360/1296
LCM = 437996160
Thus, we can understand that the LCM of 896,810,918,852 is 437996160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 896, 810, 918, 852?
Answer: LCM of 896, 810, 918, 852 is 437996160.
2. How to calculate the LCM of 896, 810, 918, 852?
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 896, 810, 918, 852.
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}.