Find the LCM of 421, 604, 344, 774 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 421, 604, 344, 774. So, keep reading to learn more.
Given numbers are 421,604,344,774
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 421,604,344,774 is 196815816.
Find LCM of 421,604,344,774 with Prime Factorization
2 | 421, 604, 344, 774 |
2 | 421, 302, 172, 387 |
43 | 421, 151, 86, 387 |
421, 151, 2, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 43 x 421 x 151 x 2 x 9 = 196815816
Therefore, the lowest common multiple of 421,604,344,774 is 196815816.
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.
421 x 604 x 344 x 774 = 67704640704
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.
421 : 1, 421
604 : 1, 2, 4, 151, 302, 604
344 : 1, 2, 4, 8, 43, 86, 172, 344
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 421,604,344,774, is 1.
Now, the common factors can be found like this.
421:421
604:2x 2x 151
344:2x 2x 2x 43
774:2x 3x 3x 43
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 43 = 344
Therefore, the value for common factors is 344.
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 = 67704640704/(1x344)
LCM = 67704640704/344
LCM = 196815816
Thus, we can understand that the LCM of 421,604,344,774 is 196815816.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 421, 604, 344, 774?
Answer: LCM of 421, 604, 344, 774 is 196815816.
2. How to calculate the LCM of 421, 604, 344, 774?
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 421, 604, 344, 774.
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}.