Find the LCM of 151, 682, 491, 364, 181 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 151, 682, 491, 364, 181. So, keep reading to learn more.
Given numbers are 151,682,491,364,181
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 151,682,491,364,181 is 1665684624604.
Find LCM of 151,682,491,364,181 with Prime Factorization
2 | 151, 682, 491, 364, 181 |
151, 341, 491, 182, 181 |
Multiply the prime numbers at the bottom and the left side.
2 x 151 x 341 x 491 x 182 x 181 = 1665684624604
Therefore, the lowest common multiple of 151,682,491,364,181 is 1665684624604.
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.
151 x 682 x 491 x 364 x 181 = 3331369249208
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.
151 : 1, 151
682 : 1, 2, 11, 22, 31, 62, 341, 682
491 : 1, 491
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
181 : 1, 181
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 151,682,491,364,181, is 1.
Now, the common factors can be found like this.
151:151
682:2x 11x 31
491:491
364:2x 2x 7x 13
181:181
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 3331369249208/(1x2)
LCM = 3331369249208/2
LCM = 1665684624604
Thus, we can understand that the LCM of 151,682,491,364,181 is 1665684624604.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 151, 682, 491, 364, 181?
Answer: LCM of 151, 682, 491, 364, 181 is 1665684624604.
2. How to calculate the LCM of 151, 682, 491, 364, 181?
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 151, 682, 491, 364, 181.
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}.