Find the LCM of 437, 341, 227, 417, 407 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 437, 341, 227, 417, 407. So, keep reading to learn more.
Given numbers are 437,341,227,417,407
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 437,341,227,417,407 is 521914607511.
Find LCM of 437,341,227,417,407 with Prime Factorization
11 | 437, 341, 227, 417, 407 |
437, 31, 227, 417, 37 |
Multiply the prime numbers at the bottom and the left side.
11 x 437 x 31 x 227 x 417 x 37 = 521914607511
Therefore, the lowest common multiple of 437,341,227,417,407 is 521914607511.
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.
437 x 341 x 227 x 417 x 407 = 5741060682621
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.
437 : 1, 19, 23, 437
341 : 1, 11, 31, 341
227 : 1, 227
417 : 1, 3, 139, 417
407 : 1, 11, 37, 407
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 437,341,227,417,407, is 1.
Now, the common factors can be found like this.
437:19x 23
341:11x 31
227:227
417:3x 139
407:11x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 5741060682621/(1x11)
LCM = 5741060682621/11
LCM = 521914607511
Thus, we can understand that the LCM of 437,341,227,417,407 is 521914607511.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 437, 341, 227, 417, 407?
Answer: LCM of 437, 341, 227, 417, 407 is 521914607511.
2. How to calculate the LCM of 437, 341, 227, 417, 407?
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 437, 341, 227, 417, 407.
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}.