Find the LCM of 706, 858, 722, 105, 861 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 706, 858, 722, 105, 861. So, keep reading to learn more.
Given numbers are 706,858,722,105,861
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 706,858,722,105,861 is 156899332590.
Find LCM of 706,858,722,105,861 with Prime Factorization
2 | 706, 858, 722, 105, 861 |
3 | 353, 429, 361, 105, 861 |
7 | 353, 143, 361, 35, 287 |
353, 143, 361, 5, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 353 x 143 x 361 x 5 x 41 = 156899332590
Therefore, the lowest common multiple of 706,858,722,105,861 is 156899332590.
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.
706 x 858 x 722 x 105 x 861 = 39538631812680
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.
706 : 1, 2, 353, 706
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
722 : 1, 2, 19, 38, 361, 722
105 : 1, 3, 5, 7, 15, 21, 35, 105
861 : 1, 3, 7, 21, 41, 123, 287, 861
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 706,858,722,105,861, is 1.
Now, the common factors can be found like this.
706:2x 353
858:2x 3x 11x 13
722:2x 19x 19
105:3x 5x 7
861:3x 7x 41
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 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 39538631812680/(1x252)
LCM = 39538631812680/252
LCM = 156899332590
Thus, we can understand that the LCM of 706,858,722,105,861 is 156899332590.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 706, 858, 722, 105, 861?
Answer: LCM of 706, 858, 722, 105, 861 is 156899332590.
2. How to calculate the LCM of 706, 858, 722, 105, 861?
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 706, 858, 722, 105, 861.
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}.