Find the LCM of 116, 910, 465, 203, 495 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 116, 910, 465, 203, 495. So, keep reading to learn more.
Given numbers are 116,910,465,203,495
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 116,910,465,203,495 is 161981820.
Find LCM of 116,910,465,203,495 with Prime Factorization
2 | 116, 910, 465, 203, 495 |
3 | 58, 455, 465, 203, 495 |
5 | 58, 455, 155, 203, 165 |
7 | 58, 91, 31, 203, 33 |
29 | 58, 13, 31, 29, 33 |
2, 13, 31, 1, 33 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 29 x 2 x 13 x 31 x 1 x 33 = 161981820
Therefore, the lowest common multiple of 116,910,465,203,495 is 161981820.
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.
116 x 910 x 465 x 203 x 495 = 4932346419000
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.
116 : 1, 2, 4, 29, 58, 116
910 : 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
465 : 1, 3, 5, 15, 31, 93, 155, 465
203 : 1, 7, 29, 203
495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 116,910,465,203,495, is 1.
Now, the common factors can be found like this.
116:2x 2x 29
910:2x 5x 7x 13
465:3x 5x 31
203:7x 29
495:3x 3x 5x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5x 5x 7x 29 = 30450
Therefore, the value for common factors is 30450.
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 = 4932346419000/(1x30450)
LCM = 4932346419000/30450
LCM = 161981820
Thus, we can understand that the LCM of 116,910,465,203,495 is 161981820.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 116, 910, 465, 203, 495?
Answer: LCM of 116, 910, 465, 203, 495 is 161981820.
2. How to calculate the LCM of 116, 910, 465, 203, 495?
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 116, 910, 465, 203, 495.
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}.