Find the LCM of 781, 442, 816, 130, 956 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 781, 442, 816, 130, 956. So, keep reading to learn more.
Given numbers are 781,442,816,130,956
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 781,442,816,130,956 is 9900393360.
Find LCM of 781,442,816,130,956 with Prime Factorization
2 | 781, 442, 816, 130, 956 |
2 | 781, 221, 408, 65, 478 |
13 | 781, 221, 204, 65, 239 |
17 | 781, 17, 204, 5, 239 |
781, 1, 12, 5, 239 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 17 x 781 x 1 x 12 x 5 x 239 = 9900393360
Therefore, the lowest common multiple of 781,442,816,130,956 is 9900393360.
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.
781 x 442 x 816 x 130 x 956 = 35007790920960
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.
781 : 1, 11, 71, 781
442 : 1, 2, 13, 17, 26, 34, 221, 442
816 : 1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816
130 : 1, 2, 5, 10, 13, 26, 65, 130
956 : 1, 2, 4, 239, 478, 956
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 781,442,816,130,956, is 1.
Now, the common factors can be found like this.
781:11x 71
442:2x 13x 17
816:2x 2x 2x 2x 3x 17
130:2x 5x 13
956:2x 2x 239
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 2x 13x 17 = 3536
Therefore, the value for common factors is 3536.
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 = 35007790920960/(1x3536)
LCM = 35007790920960/3536
LCM = 9900393360
Thus, we can understand that the LCM of 781,442,816,130,956 is 9900393360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 781, 442, 816, 130, 956?
Answer: LCM of 781, 442, 816, 130, 956 is 9900393360.
2. How to calculate the LCM of 781, 442, 816, 130, 956?
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 781, 442, 816, 130, 956.
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}.