Find the LCM of 321, 441, 788, 428, 418 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 321, 441, 788, 428, 418. So, keep reading to learn more.
Given numbers are 321,441,788,428,418
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 321,441,788,428,418 is 7771321404.
Find LCM of 321,441,788,428,418 with Prime Factorization
2 | 321, 441, 788, 428, 418 |
2 | 321, 441, 394, 214, 209 |
3 | 321, 441, 197, 107, 209 |
107 | 107, 147, 197, 107, 209 |
1, 147, 197, 1, 209 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 107 x 1 x 147 x 197 x 1 x 209 = 7771321404
Therefore, the lowest common multiple of 321,441,788,428,418 is 7771321404.
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.
321 x 441 x 788 x 428 x 418 = 19956753365472
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.
321 : 1, 3, 107, 321
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
788 : 1, 2, 4, 197, 394, 788
428 : 1, 2, 4, 107, 214, 428
418 : 1, 2, 11, 19, 22, 38, 209, 418
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 321,441,788,428,418, is 1.
Now, the common factors can be found like this.
321:3x 107
441:3x 3x 7x 7
788:2x 2x 197
428:2x 2x 107
418:2x 11x 19
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 3x 107 = 2568
Therefore, the value for common factors is 2568.
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 = 19956753365472/(1x2568)
LCM = 19956753365472/2568
LCM = 7771321404
Thus, we can understand that the LCM of 321,441,788,428,418 is 7771321404.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 321, 441, 788, 428, 418?
Answer: LCM of 321, 441, 788, 428, 418 is 7771321404.
2. How to calculate the LCM of 321, 441, 788, 428, 418?
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 321, 441, 788, 428, 418.
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}.