Find the LCM of 843, 394, 338, 692, 692 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 843, 394, 338, 692, 692. So, keep reading to learn more.
Given numbers are 843,394,338,692,692
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 843,394,338,692,692 is 19421671308.
Find LCM of 843,394,338,692,692 with Prime Factorization
2 | 843, 394, 338, 692, 692 |
2 | 843, 197, 169, 346, 346 |
173 | 843, 197, 169, 173, 173 |
843, 197, 169, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 173 x 843 x 197 x 169 x 1 x 1 = 19421671308
Therefore, the lowest common multiple of 843,394,338,692,692 is 19421671308.
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.
843 x 394 x 338 x 692 x 692 = 53759186180544
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.
843 : 1, 3, 281, 843
394 : 1, 2, 197, 394
338 : 1, 2, 13, 26, 169, 338
692 : 1, 2, 4, 173, 346, 692
692 : 1, 2, 4, 173, 346, 692
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 843,394,338,692,692, is 1.
Now, the common factors can be found like this.
843:3x 281
394:2x 197
338:2x 13x 13
692:2x 2x 173
692:2x 2x 173
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 173 = 2768
Therefore, the value for common factors is 2768.
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 = 53759186180544/(1x2768)
LCM = 53759186180544/2768
LCM = 19421671308
Thus, we can understand that the LCM of 843,394,338,692,692 is 19421671308.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 843, 394, 338, 692, 692?
Answer: LCM of 843, 394, 338, 692, 692 is 19421671308.
2. How to calculate the LCM of 843, 394, 338, 692, 692?
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 843, 394, 338, 692, 692.
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}.