Find the LCM of 634, 364, 567, 914, 176 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 634, 364, 567, 914, 176. So, keep reading to learn more.
Given numbers are 634,364,567,914,176
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 634,364,567,914,176 is 187937974224.
Find LCM of 634,364,567,914,176 with Prime Factorization
2 | 634, 364, 567, 914, 176 |
2 | 317, 182, 567, 457, 88 |
7 | 317, 91, 567, 457, 44 |
317, 13, 81, 457, 44 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 317 x 13 x 81 x 457 x 44 = 187937974224
Therefore, the lowest common multiple of 634,364,567,914,176 is 187937974224.
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.
634 x 364 x 567 x 914 x 176 = 21049053113088
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.
634 : 1, 2, 317, 634
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
914 : 1, 2, 457, 914
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 634,364,567,914,176, is 1.
Now, the common factors can be found like this.
634:2x 317
364:2x 2x 7x 13
567:3x 3x 3x 3x 7
914:2x 457
176:2x 2x 2x 2x 11
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 7 = 112
Therefore, the value for common factors is 112.
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 = 21049053113088/(1x112)
LCM = 21049053113088/112
LCM = 187937974224
Thus, we can understand that the LCM of 634,364,567,914,176 is 187937974224.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 634, 364, 567, 914, 176?
Answer: LCM of 634, 364, 567, 914, 176 is 187937974224.
2. How to calculate the LCM of 634, 364, 567, 914, 176?
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 634, 364, 567, 914, 176.
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}.