Find the LCM of 335, 597, 252, 451, 164 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 335, 597, 252, 451, 164. So, keep reading to learn more.
Given numbers are 335,597,252,451,164
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 335,597,252,451,164 is 7576610580.
Find LCM of 335,597,252,451,164 with Prime Factorization
2 | 335, 597, 252, 451, 164 |
2 | 335, 597, 126, 451, 82 |
3 | 335, 597, 63, 451, 41 |
41 | 335, 199, 21, 451, 41 |
335, 199, 21, 11, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 41 x 335 x 199 x 21 x 11 x 1 = 7576610580
Therefore, the lowest common multiple of 335,597,252,451,164 is 7576610580.
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.
335 x 597 x 252 x 451 x 164 = 3727692405360
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.
335 : 1, 5, 67, 335
597 : 1, 3, 199, 597
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
451 : 1, 11, 41, 451
164 : 1, 2, 4, 41, 82, 164
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 335,597,252,451,164, is 1.
Now, the common factors can be found like this.
335:5x 67
597:3x 199
252:2x 2x 3x 3x 7
451:11x 41
164:2x 2x 41
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 3x 41 = 492
Therefore, the value for common factors is 492.
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 = 3727692405360/(1x492)
LCM = 3727692405360/492
LCM = 7576610580
Thus, we can understand that the LCM of 335,597,252,451,164 is 7576610580.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 335, 597, 252, 451, 164?
Answer: LCM of 335, 597, 252, 451, 164 is 7576610580.
2. How to calculate the LCM of 335, 597, 252, 451, 164?
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 335, 597, 252, 451, 164.
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}.