Find the LCM of 412, 375, 908, 504, 894 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 412, 375, 908, 504, 894. So, keep reading to learn more.
Given numbers are 412,375,908,504,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 412,375,908,504,894 is 219477447000.
Find LCM of 412,375,908,504,894 with Prime Factorization
2 | 412, 375, 908, 504, 894 |
2 | 206, 375, 454, 252, 447 |
3 | 103, 375, 227, 126, 447 |
103, 125, 227, 42, 149 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 103 x 125 x 227 x 42 x 149 = 219477447000
Therefore, the lowest common multiple of 412,375,908,504,894 is 219477447000.
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.
412 x 375 x 908 x 504 x 894 = 63209504736000
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.
412 : 1, 2, 4, 103, 206, 412
375 : 1, 3, 5, 15, 25, 75, 125, 375
908 : 1, 2, 4, 227, 454, 908
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 412,375,908,504,894, is 1.
Now, the common factors can be found like this.
412:2x 2x 103
375:3x 5x 5x 5
908:2x 2x 227
504:2x 2x 2x 3x 3x 7
894:2x 3x 149
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 3x 3 = 288
Therefore, the value for common factors is 288.
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 = 63209504736000/(1x288)
LCM = 63209504736000/288
LCM = 219477447000
Thus, we can understand that the LCM of 412,375,908,504,894 is 219477447000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 412, 375, 908, 504, 894?
Answer: LCM of 412, 375, 908, 504, 894 is 219477447000.
2. How to calculate the LCM of 412, 375, 908, 504, 894?
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 412, 375, 908, 504, 894.
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}.