Find the LCM of 854, 167, 321, 798, 363 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, 167, 321, 798, 363. So, keep reading to learn more.
Given numbers are 854,167,321,798,363
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 854,167,321,798,363 is 105249089022.
Find LCM of 854,167,321,798,363 with Prime Factorization
2 | 854, 167, 321, 798, 363 |
3 | 427, 167, 321, 399, 363 |
7 | 427, 167, 107, 133, 121 |
61, 167, 107, 19, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 61 x 167 x 107 x 19 x 121 = 105249089022
Therefore, the lowest common multiple of 854,167,321,798,363 is 105249089022.
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 167 x 321 x 798 x 363 = 13261385216772
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
167 : 1, 167
321 : 1, 3, 107, 321
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
363 : 1, 3, 11, 33, 121, 363
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 854,167,321,798,363, is 1.
Now, the common factors can be found like this.
854:2x 7x 61
167:167
321:3x 107
798:2x 3x 7x 19
363:3x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 7 = 126
Therefore, the value for common factors is 126.
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 = 13261385216772/(1x126)
LCM = 13261385216772/126
LCM = 105249089022
Thus, we can understand that the LCM of 854,167,321,798,363 is 105249089022.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 854, 167, 321, 798, 363?
Answer: LCM of 854, 167, 321, 798, 363 is 105249089022.
2. How to calculate the LCM of 854, 167, 321, 798, 363?
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, 167, 321, 798, 363.
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}.