Find the LCM of 357, 439, 411, 418, 850 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 357, 439, 411, 418, 850. So, keep reading to learn more.
Given numbers are 357,439,411,418,850
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 357,439,411,418,850 is 224372482950.
Find LCM of 357,439,411,418,850 with Prime Factorization
2 | 357, 439, 411, 418, 850 |
3 | 357, 439, 411, 209, 425 |
17 | 119, 439, 137, 209, 425 |
7, 439, 137, 209, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 7 x 439 x 137 x 209 x 25 = 224372482950
Therefore, the lowest common multiple of 357,439,411,418,850 is 224372482950.
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.
357 x 439 x 411 x 418 x 850 = 22885993260900
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.
357 : 1, 3, 7, 17, 21, 51, 119, 357
439 : 1, 439
411 : 1, 3, 137, 411
418 : 1, 2, 11, 19, 22, 38, 209, 418
850 : 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 357,439,411,418,850, is 1.
Now, the common factors can be found like this.
357:3x 7x 17
439:439
411:3x 137
418:2x 11x 19
850:2x 5x 5x 17
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 17 = 102
Therefore, the value for common factors is 102.
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 = 22885993260900/(1x102)
LCM = 22885993260900/102
LCM = 224372482950
Thus, we can understand that the LCM of 357,439,411,418,850 is 224372482950.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 357, 439, 411, 418, 850?
Answer: LCM of 357, 439, 411, 418, 850 is 224372482950.
2. How to calculate the LCM of 357, 439, 411, 418, 850?
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 357, 439, 411, 418, 850.
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}.