Find the LCM of 854, 125, 397, 559, 817 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 854, 125, 397, 559, 817. So, keep reading to learn more.
Given numbers are 854,125,397,559,817
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 854,125,397,559,817 is 450115324750.
Find LCM of 854,125,397,559,817 with Prime Factorization
43 | 854, 125, 397, 559, 817 |
854, 125, 397, 13, 19 |
Multiply the prime numbers at the bottom and the left side.
43 x 854 x 125 x 397 x 13 x 19 = 450115324750
Therefore, the lowest common multiple of 854,125,397,559,817 is 450115324750.
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.
854 x 125 x 397 x 559 x 817 = 19354958964250
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.
854 : 1, 2, 7, 14, 61, 122, 427, 854
125 : 1, 5, 25, 125
397 : 1, 397
559 : 1, 13, 43, 559
817 : 1, 19, 43, 817
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,125,397,559,817, is 1.
Now, the common factors can be found like this.
854:2x 7x 61
125:5x 5x 5
397:397
559:13x 43
817:19x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
43 = 43
Therefore, the value for common factors is 43.
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 = 19354958964250/(1x43)
LCM = 19354958964250/43
LCM = 450115324750
Thus, we can understand that the LCM of 854,125,397,559,817 is 450115324750.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 854, 125, 397, 559, 817?
Answer: LCM of 854, 125, 397, 559, 817 is 450115324750.
2. How to calculate the LCM of 854, 125, 397, 559, 817?
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 854, 125, 397, 559, 817.
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}.