Find the LCM of 807, 138, 696, 238, 678 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 807, 138, 696, 238, 678. So, keep reading to learn more.
Given numbers are 807,138,696,238,678
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 807,138,696,238,678 is 57904825944.
Find LCM of 807,138,696,238,678 with Prime Factorization
2 | 807, 138, 696, 238, 678 |
3 | 807, 69, 348, 119, 339 |
269, 23, 116, 119, 113 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 269 x 23 x 116 x 119 x 113 = 57904825944
Therefore, the lowest common multiple of 807,138,696,238,678 is 57904825944.
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.
807 x 138 x 696 x 238 x 678 = 12507442403904
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.
807 : 1, 3, 269, 807
138 : 1, 2, 3, 6, 23, 46, 69, 138
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
238 : 1, 2, 7, 14, 17, 34, 119, 238
678 : 1, 2, 3, 6, 113, 226, 339, 678
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 807,138,696,238,678, is 1.
Now, the common factors can be found like this.
807:3x 269
138:2x 3x 23
696:2x 2x 2x 3x 29
238:2x 7x 17
678:2x 3x 113
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 3x 3x 3 = 216
Therefore, the value for common factors is 216.
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 = 12507442403904/(1x216)
LCM = 12507442403904/216
LCM = 57904825944
Thus, we can understand that the LCM of 807,138,696,238,678 is 57904825944.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 807, 138, 696, 238, 678?
Answer: LCM of 807, 138, 696, 238, 678 is 57904825944.
2. How to calculate the LCM of 807, 138, 696, 238, 678?
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 807, 138, 696, 238, 678.
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}.