Find the LCM of 894, 894, 792, 217 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 894, 894, 792, 217. So, keep reading to learn more.
Given numbers are 894,894,792,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 894,894,792,217 is 25607736.
Find LCM of 894,894,792,217 with Prime Factorization
2 | 894, 894, 792, 217 |
3 | 447, 447, 396, 217 |
149 | 149, 149, 132, 217 |
1, 1, 132, 217 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 149 x 1 x 1 x 132 x 217 = 25607736
Therefore, the lowest common multiple of 894,894,792,217 is 25607736.
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.
894 x 894 x 792 x 217 = 137359895904
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.
894 : 1, 2, 3, 6, 149, 298, 447, 894
894 : 1, 2, 3, 6, 149, 298, 447, 894
792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 894,894,792,217, is 1.
Now, the common factors can be found like this.
894:2x 3x 149
894:2x 3x 149
792:2x 2x 2x 3x 3x 11
217:7x 31
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 3x 3x 149 = 5364
Therefore, the value for common factors is 5364.
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 = 137359895904/(1x5364)
LCM = 137359895904/5364
LCM = 25607736
Thus, we can understand that the LCM of 894,894,792,217 is 25607736.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 894, 894, 792, 217?
Answer: LCM of 894, 894, 792, 217 is 25607736.
2. How to calculate the LCM of 894, 894, 792, 217?
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 894, 894, 792, 217.
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}.