Find the LCM of 364, 554, 424, 741, 422 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 364, 554, 424, 741, 422. So, keep reading to learn more.
Given numbers are 364,554,424,741,422
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 364,554,424,741,422 is 128541785736.
Find LCM of 364,554,424,741,422 with Prime Factorization
2 | 364, 554, 424, 741, 422 |
2 | 182, 277, 212, 741, 211 |
13 | 91, 277, 106, 741, 211 |
7, 277, 106, 57, 211 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 7 x 277 x 106 x 57 x 211 = 128541785736
Therefore, the lowest common multiple of 364,554,424,741,422 is 128541785736.
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.
364 x 554 x 424 x 741 x 422 = 26736691433088
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.
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
554 : 1, 2, 277, 554
424 : 1, 2, 4, 8, 53, 106, 212, 424
741 : 1, 3, 13, 19, 39, 57, 247, 741
422 : 1, 2, 211, 422
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 364,554,424,741,422, is 1.
Now, the common factors can be found like this.
364:2x 2x 7x 13
554:2x 277
424:2x 2x 2x 53
741:3x 13x 19
422:2x 211
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 2x 2x 13 = 208
Therefore, the value for common factors is 208.
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 = 26736691433088/(1x208)
LCM = 26736691433088/208
LCM = 128541785736
Thus, we can understand that the LCM of 364,554,424,741,422 is 128541785736.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 364, 554, 424, 741, 422?
Answer: LCM of 364, 554, 424, 741, 422 is 128541785736.
2. How to calculate the LCM of 364, 554, 424, 741, 422?
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 364, 554, 424, 741, 422.
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}.