Find the LCM of 861, 155, 901, 296, 867 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 861, 155, 901, 296, 867. So, keep reading to learn more.
Given numbers are 861,155,901,296,867
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,155,901,296,867 is 605062549560.
Find LCM of 861,155,901,296,867 with Prime Factorization
3 | 861, 155, 901, 296, 867 |
17 | 287, 155, 901, 296, 289 |
287, 155, 53, 296, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 287 x 155 x 53 x 296 x 17 = 605062549560
Therefore, the lowest common multiple of 861,155,901,296,867 is 605062549560.
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.
861 x 155 x 901 x 296 x 867 = 30858190027560
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
155 : 1, 5, 31, 155
901 : 1, 17, 53, 901
296 : 1, 2, 4, 8, 37, 74, 148, 296
867 : 1, 3, 17, 51, 289, 867
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,155,901,296,867, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
155:5x 31
901:17x 53
296:2x 2x 2x 37
867:3x 17x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17 = 51
Therefore, the value for common factors is 51.
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 = 30858190027560/(1x51)
LCM = 30858190027560/51
LCM = 605062549560
Thus, we can understand that the LCM of 861,155,901,296,867 is 605062549560.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 861, 155, 901, 296, 867?
Answer: LCM of 861, 155, 901, 296, 867 is 605062549560.
2. How to calculate the LCM of 861, 155, 901, 296, 867?
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 861, 155, 901, 296, 867.
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}.