Find the LCM of 985, 963, 312, 290, 812 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 985, 963, 312, 290, 812. So, keep reading to learn more.
Given numbers are 985,963,312,290,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 985,963,312,290,812 is 20025893160.
Find LCM of 985,963,312,290,812 with Prime Factorization
2 | 985, 963, 312, 290, 812 |
2 | 985, 963, 156, 145, 406 |
3 | 985, 963, 78, 145, 203 |
5 | 985, 321, 26, 145, 203 |
29 | 197, 321, 26, 29, 203 |
197, 321, 26, 1, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 29 x 197 x 321 x 26 x 1 x 7 = 20025893160
Therefore, the lowest common multiple of 985,963,312,290,812 is 20025893160.
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.
985 x 963 x 312 x 290 x 812 = 69690108196800
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.
985 : 1, 5, 197, 985
963 : 1, 3, 9, 107, 321, 963
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
290 : 1, 2, 5, 10, 29, 58, 145, 290
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 985,963,312,290,812, is 1.
Now, the common factors can be found like this.
985:5x 197
963:3x 3x 107
312:2x 2x 2x 3x 13
290:2x 5x 29
812:2x 2x 7x 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 5x 29 = 3480
Therefore, the value for common factors is 3480.
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 = 69690108196800/(1x3480)
LCM = 69690108196800/3480
LCM = 20025893160
Thus, we can understand that the LCM of 985,963,312,290,812 is 20025893160.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 985, 963, 312, 290, 812?
Answer: LCM of 985, 963, 312, 290, 812 is 20025893160.
2. How to calculate the LCM of 985, 963, 312, 290, 812?
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 985, 963, 312, 290, 812.
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}.