Find the LCM of 117, 406, 940, 143, 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 117, 406, 940, 143, 812. So, keep reading to learn more.
Given numbers are 117,406,940,143,812
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 117,406,940,143,812 is 245585340.
Find LCM of 117,406,940,143,812 with Prime Factorization
2 | 117, 406, 940, 143, 812 |
2 | 117, 203, 470, 143, 406 |
7 | 117, 203, 235, 143, 203 |
13 | 117, 29, 235, 143, 29 |
29 | 9, 29, 235, 11, 29 |
9, 1, 235, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 13 x 29 x 9 x 1 x 235 x 11 x 1 = 245585340
Therefore, the lowest common multiple of 117,406,940,143,812 is 245585340.
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.
117 x 406 x 940 x 143 x 812 = 5184797698080
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.
117 : 1, 3, 9, 13, 39, 117
406 : 1, 2, 7, 14, 29, 58, 203, 406
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
143 : 1, 11, 13, 143
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 117,406,940,143,812, is 1.
Now, the common factors can be found like this.
117:3x 3x 13
406:2x 7x 29
940:2x 2x 5x 47
143:11x 13
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 7x 13x 29 = 21112
Therefore, the value for common factors is 21112.
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 = 5184797698080/(1x21112)
LCM = 5184797698080/21112
LCM = 245585340
Thus, we can understand that the LCM of 117,406,940,143,812 is 245585340.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 117, 406, 940, 143, 812?
Answer: LCM of 117, 406, 940, 143, 812 is 245585340.
2. How to calculate the LCM of 117, 406, 940, 143, 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 117, 406, 940, 143, 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}.