Find the LCM of 903, 214, 856, 84 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 903, 214, 856, 84. So, keep reading to learn more.
Given numbers are 903,214,856,84
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 903,214,856,84 is 772968.
Find LCM of 903,214,856,84 with Prime Factorization
2 | 903, 214, 856, 84 |
2 | 903, 107, 428, 42 |
3 | 903, 107, 214, 21 |
7 | 301, 107, 214, 7 |
107 | 43, 107, 214, 1 |
43, 1, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 7 x 107 x 43 x 1 x 2 x 1 = 772968
Therefore, the lowest common multiple of 903,214,856,84 is 772968.
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.
903 x 214 x 856 x 84 = 13894872768
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.
903 : 1, 3, 7, 21, 43, 129, 301, 903
214 : 1, 2, 107, 214
856 : 1, 2, 4, 8, 107, 214, 428, 856
84 : 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 903,214,856,84, is 1.
Now, the common factors can be found like this.
903:3x 7x 43
214:2x 107
856:2x 2x 2x 107
84:2x 2x 3x 7
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 7x 107 = 17976
Therefore, the value for common factors is 17976.
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 = 13894872768/(1x17976)
LCM = 13894872768/17976
LCM = 772968
Thus, we can understand that the LCM of 903,214,856,84 is 772968.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 903, 214, 856, 84?
Answer: LCM of 903, 214, 856, 84 is 772968.
2. How to calculate the LCM of 903, 214, 856, 84?
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 903, 214, 856, 84.
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}.