Find the LCM of 726, 946, 670, 162, 866 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 726, 946, 670, 162, 866. So, keep reading to learn more.
Given numbers are 726,946,670,162,866
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 726,946,670,162,866 is 122264828730.
Find LCM of 726,946,670,162,866 with Prime Factorization
2 | 726, 946, 670, 162, 866 |
3 | 363, 473, 335, 81, 433 |
11 | 121, 473, 335, 27, 433 |
11, 43, 335, 27, 433 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 11 x 43 x 335 x 27 x 433 = 122264828730
Therefore, the lowest common multiple of 726,946,670,162,866 is 122264828730.
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.
726 x 946 x 670 x 162 x 866 = 64555829569440
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.
726 : 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726
946 : 1, 2, 11, 22, 43, 86, 473, 946
670 : 1, 2, 5, 10, 67, 134, 335, 670
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
866 : 1, 2, 433, 866
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 726,946,670,162,866, is 2.
Now, the common factors can be found like this.
726:2x 3x 11x 11
946:2x 11x 43
670:2x 5x 67
162:2x 3x 3x 3x 3
866:2x 433
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 11 = 264
Therefore, the value for common factors is 264.
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 = 64555829569440/(2x264)
LCM = 64555829569440/528
LCM = 122264828730
Thus, we can understand that the LCM of 726,946,670,162,866 is 122264828730.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 726, 946, 670, 162, 866?
Answer: LCM of 726, 946, 670, 162, 866 is 122264828730.
2. How to calculate the LCM of 726, 946, 670, 162, 866?
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 726, 946, 670, 162, 866.
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}.