Find the LCM of 471, 894, 538, 930, 696 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 471, 894, 538, 930, 696. So, keep reading to learn more.
Given numbers are 471,894,538,930,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,894,538,930,696 is 678858309960.
Find LCM of 471,894,538,930,696 with Prime Factorization
2 | 471, 894, 538, 930, 696 |
3 | 471, 447, 269, 465, 348 |
157, 149, 269, 155, 116 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 157 x 149 x 269 x 155 x 116 = 678858309960
Therefore, the lowest common multiple of 471,894,538,930,696 is 678858309960.
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.
471 x 894 x 538 x 930 x 696 = 146633394951360
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.
471 : 1, 3, 157, 471
894 : 1, 2, 3, 6, 149, 298, 447, 894
538 : 1, 2, 269, 538
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,894,538,930,696, is 1.
Now, the common factors can be found like this.
471:3x 157
894:2x 3x 149
538:2x 269
930:2x 3x 5x 31
696:2x 2x 2x 3x 29
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 3 = 216
Therefore, the value for common factors is 216.
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 = 146633394951360/(1x216)
LCM = 146633394951360/216
LCM = 678858309960
Thus, we can understand that the LCM of 471,894,538,930,696 is 678858309960.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 471, 894, 538, 930, 696?
Answer: LCM of 471, 894, 538, 930, 696 is 678858309960.
2. How to calculate the LCM of 471, 894, 538, 930, 696?
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 471, 894, 538, 930, 696.
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}.