Find the LCM of 633, 429, 325, 337, 567 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 633, 429, 325, 337, 567. So, keep reading to learn more.
Given numbers are 633,429,325,337,567
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 633,429,325,337,567 is 144135666675.
Find LCM of 633,429,325,337,567 with Prime Factorization
3 | 633, 429, 325, 337, 567 |
13 | 211, 143, 325, 337, 189 |
211, 11, 25, 337, 189 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 211 x 11 x 25 x 337 x 189 = 144135666675
Therefore, the lowest common multiple of 633,429,325,337,567 is 144135666675.
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.
633 x 429 x 325 x 337 x 567 = 16863873000975
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.
633 : 1, 3, 211, 633
429 : 1, 3, 11, 13, 33, 39, 143, 429
325 : 1, 5, 13, 25, 65, 325
337 : 1, 337
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 633,429,325,337,567, is 1.
Now, the common factors can be found like this.
633:3x 211
429:3x 11x 13
325:5x 5x 13
337:337
567:3x 3x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13 = 117
Therefore, the value for common factors is 117.
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 = 16863873000975/(1x117)
LCM = 16863873000975/117
LCM = 144135666675
Thus, we can understand that the LCM of 633,429,325,337,567 is 144135666675.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 633, 429, 325, 337, 567?
Answer: LCM of 633, 429, 325, 337, 567 is 144135666675.
2. How to calculate the LCM of 633, 429, 325, 337, 567?
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 633, 429, 325, 337, 567.
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}.