Find the LCM of 144, 896, 918, 908, 400 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 144, 896, 918, 908, 400. So, keep reading to learn more.
Given numbers are 144,896,918,908,400
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 144,896,918,908,400 is 2333923200.
Find LCM of 144,896,918,908,400 with Prime Factorization
2 | 144, 896, 918, 908, 400 |
2 | 72, 448, 459, 454, 200 |
2 | 36, 224, 459, 227, 100 |
2 | 18, 112, 459, 227, 50 |
3 | 9, 56, 459, 227, 25 |
3 | 3, 56, 153, 227, 25 |
1, 56, 51, 227, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 3 x 1 x 56 x 51 x 227 x 25 = 2333923200
Therefore, the lowest common multiple of 144,896,918,908,400 is 2333923200.
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.
144 x 896 x 918 x 908 x 400 = 43018872422400
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.
144 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
918 : 1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918
908 : 1, 2, 4, 227, 454, 908
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 144,896,918,908,400, is 2.
Now, the common factors can be found like this.
144:2x 2x 2x 2x 3x 3
896:2x 2x 2x 2x 2x 2x 2x 7
918:2x 3x 3x 3x 17
908:2x 2x 227
400:2x 2x 2x 2x 5x 5
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 2x 2x 2x 3x 3 = 9216
Therefore, the value for common factors is 9216.
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 = 43018872422400/(2x9216)
LCM = 43018872422400/18432
LCM = 2333923200
Thus, we can understand that the LCM of 144,896,918,908,400 is 2333923200.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 144, 896, 918, 908, 400?
Answer: LCM of 144, 896, 918, 908, 400 is 2333923200.
2. How to calculate the LCM of 144, 896, 918, 908, 400?
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 144, 896, 918, 908, 400.
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}.