Find the LCM of 906, 598, 608, 858, 706 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 906, 598, 608, 858, 706. So, keep reading to learn more.
Given numbers are 906,598,608,858,706
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,598,608,858,706 is 319771946208.
Find LCM of 906,598,608,858,706 with Prime Factorization
2 | 906, 598, 608, 858, 706 |
3 | 453, 299, 304, 429, 353 |
13 | 151, 299, 304, 143, 353 |
151, 23, 304, 11, 353 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 151 x 23 x 304 x 11 x 353 = 319771946208
Therefore, the lowest common multiple of 906,598,608,858,706 is 319771946208.
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.
906 x 598 x 608 x 858 x 706 = 199537694433792
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
598 : 1, 2, 13, 23, 26, 46, 299, 598
608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
858 : 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
706 : 1, 2, 353, 706
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,598,608,858,706, is 2.
Now, the common factors can be found like this.
906:2x 3x 151
598:2x 13x 23
608:2x 2x 2x 2x 2x 19
858:2x 3x 11x 13
706:2x 353
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 13 = 312
Therefore, the value for common factors is 312.
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 = 199537694433792/(2x312)
LCM = 199537694433792/624
LCM = 319771946208
Thus, we can understand that the LCM of 906,598,608,858,706 is 319771946208.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 906, 598, 608, 858, 706?
Answer: LCM of 906, 598, 608, 858, 706 is 319771946208.
2. How to calculate the LCM of 906, 598, 608, 858, 706?
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 906, 598, 608, 858, 706.
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}.