Find the LCM of 658, 704, 135, 135, 367 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 658, 704, 135, 135, 367. So, keep reading to learn more.
Given numbers are 658,704,135,135,367
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 658,704,135,135,367 is 11475414720.
Find LCM of 658,704,135,135,367 with Prime Factorization
2 | 658, 704, 135, 135, 367 |
3 | 329, 352, 135, 135, 367 |
3 | 329, 352, 45, 45, 367 |
3 | 329, 352, 15, 15, 367 |
5 | 329, 352, 5, 5, 367 |
329, 352, 1, 1, 367 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 329 x 352 x 1 x 1 x 367 = 11475414720
Therefore, the lowest common multiple of 658,704,135,135,367 is 11475414720.
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.
658 x 704 x 135 x 135 x 367 = 3098361974400
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.
658 : 1, 2, 7, 14, 47, 94, 329, 658
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
135 : 1, 3, 5, 9, 15, 27, 45, 135
135 : 1, 3, 5, 9, 15, 27, 45, 135
367 : 1, 367
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 658,704,135,135,367, is 1.
Now, the common factors can be found like this.
658:2x 7x 47
704:2x 2x 2x 2x 2x 2x 11
135:3x 3x 3x 5
135:3x 3x 3x 5
367:367
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 3098361974400/(1x270)
LCM = 3098361974400/270
LCM = 11475414720
Thus, we can understand that the LCM of 658,704,135,135,367 is 11475414720.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 658, 704, 135, 135, 367?
Answer: LCM of 658, 704, 135, 135, 367 is 11475414720.
2. How to calculate the LCM of 658, 704, 135, 135, 367?
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 658, 704, 135, 135, 367.
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}.