Find the LCM of 286, 524, 799, 731, 845 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 286, 524, 799, 731, 845. So, keep reading to learn more.
Given numbers are 286,524,799,731,845
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 286,524,799,731,845 is 167338517060.
Find LCM of 286,524,799,731,845 with Prime Factorization
2 | 286, 524, 799, 731, 845 |
13 | 143, 262, 799, 731, 845 |
17 | 11, 262, 799, 731, 65 |
11, 262, 47, 43, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 17 x 11 x 262 x 47 x 43 x 65 = 167338517060
Therefore, the lowest common multiple of 286,524,799,731,845 is 167338517060.
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.
286 x 524 x 799 x 731 x 845 = 73963624540520
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.
286 : 1, 2, 11, 13, 22, 26, 143, 286
524 : 1, 2, 4, 131, 262, 524
799 : 1, 17, 47, 799
731 : 1, 17, 43, 731
845 : 1, 5, 13, 65, 169, 845
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 286,524,799,731,845, is 1.
Now, the common factors can be found like this.
286:2x 11x 13
524:2x 2x 131
799:17x 47
731:17x 43
845:5x 13x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 17 = 442
Therefore, the value for common factors is 442.
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 = 73963624540520/(1x442)
LCM = 73963624540520/442
LCM = 167338517060
Thus, we can understand that the LCM of 286,524,799,731,845 is 167338517060.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 286, 524, 799, 731, 845?
Answer: LCM of 286, 524, 799, 731, 845 is 167338517060.
2. How to calculate the LCM of 286, 524, 799, 731, 845?
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 286, 524, 799, 731, 845.
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}.