Find the LCM of 107, 258, 808, 800, 136 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 107, 258, 808, 800, 136. So, keep reading to learn more.
Given numbers are 107,258,808,800,136
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 107,258,808,800,136 is 18959800800.
Find LCM of 107,258,808,800,136 with Prime Factorization
2 | 107, 258, 808, 800, 136 |
2 | 107, 129, 404, 400, 68 |
2 | 107, 129, 202, 200, 34 |
107, 129, 101, 100, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 107 x 129 x 101 x 100 x 17 = 18959800800
Therefore, the lowest common multiple of 107,258,808,800,136 is 18959800800.
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.
107 x 258 x 808 x 800 x 136 = 2426854502400
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.
107 : 1, 107
258 : 1, 2, 3, 6, 43, 86, 129, 258
808 : 1, 2, 4, 8, 101, 202, 404, 808
800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800
136 : 1, 2, 4, 8, 17, 34, 68, 136
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 107,258,808,800,136, is 1.
Now, the common factors can be found like this.
107:107
258:2x 3x 43
808:2x 2x 2x 101
800:2x 2x 2x 2x 2x 5x 5
136:2x 2x 2x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 2x 2x 2x 2 = 128
Therefore, the value for common factors is 128.
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 = 2426854502400/(1x128)
LCM = 2426854502400/128
LCM = 18959800800
Thus, we can understand that the LCM of 107,258,808,800,136 is 18959800800.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 107, 258, 808, 800, 136?
Answer: LCM of 107, 258, 808, 800, 136 is 18959800800.
2. How to calculate the LCM of 107, 258, 808, 800, 136?
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 107, 258, 808, 800, 136.
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}.