Find the LCM of 904, 451, 734, 409 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 904, 451, 734, 409. So, keep reading to learn more.
Given numbers are 904,451,734,409
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 904,451,734,409 is 61197593512.
Find LCM of 904,451,734,409 with Prime Factorization
2 | 904, 451, 734, 409 |
452, 451, 367, 409 |
Multiply the prime numbers at the bottom and the left side.
2 x 452 x 451 x 367 x 409 = 61197593512
Therefore, the lowest common multiple of 904,451,734,409 is 61197593512.
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.
904 x 451 x 734 x 409 = 122395187024
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.
904 : 1, 2, 4, 8, 113, 226, 452, 904
451 : 1, 11, 41, 451
734 : 1, 2, 367, 734
409 : 1, 409
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 904,451,734,409, is 1.
Now, the common factors can be found like this.
904:2x 2x 2x 113
451:11x 41
734:2x 367
409:409
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2 = 2
Therefore, the value for common factors is 2.
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 = 122395187024/(1x2)
LCM = 122395187024/2
LCM = 61197593512
Thus, we can understand that the LCM of 904,451,734,409 is 61197593512.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 904, 451, 734, 409?
Answer: LCM of 904, 451, 734, 409 is 61197593512.
2. How to calculate the LCM of 904, 451, 734, 409?
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 904, 451, 734, 409.
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}.