Find the LCM of 317, 108, 706, 906, 842 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 317, 108, 706, 906, 842. So, keep reading to learn more.
Given numbers are 317,108,706,906,842
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 317,108,706,906,842 is 768275114868.
Find LCM of 317,108,706,906,842 with Prime Factorization
2 | 317, 108, 706, 906, 842 |
3 | 317, 54, 353, 453, 421 |
317, 18, 353, 151, 421 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 317 x 18 x 353 x 151 x 421 = 768275114868
Therefore, the lowest common multiple of 317,108,706,906,842 is 768275114868.
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.
317 x 108 x 706 x 906 x 842 = 18438602756832
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.
317 : 1, 317
108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
706 : 1, 2, 353, 706
906 : 1, 2, 3, 6, 151, 302, 453, 906
842 : 1, 2, 421, 842
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,108,706,906,842, is 1.
Now, the common factors can be found like this.
317:317
108:2x 2x 3x 3x 3
706:2x 353
906:2x 3x 151
842:2x 421
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 3 = 24
Therefore, the value for common factors is 24.
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 = 18438602756832/(1x24)
LCM = 18438602756832/24
LCM = 768275114868
Thus, we can understand that the LCM of 317,108,706,906,842 is 768275114868.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 317, 108, 706, 906, 842?
Answer: LCM of 317, 108, 706, 906, 842 is 768275114868.
2. How to calculate the LCM of 317, 108, 706, 906, 842?
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 317, 108, 706, 906, 842.
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}.