LCM of 422, 120, 394, 849, 197
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 422, 120, 394, 849, 197 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 422, 120, 394, 849, 197. So, keep reading to learn more.
Given numbers are 422,120,394,849,197
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,120,394,849,197 is 1411615320.
Find LCM of 422,120,394,849,197 with Prime Factorization
| 2 | 422, 120, 394, 849, 197 |
| 3 | 211, 60, 197, 849, 197 |
| 197 | 211, 20, 197, 283, 197 |
| 211, 20, 1, 283, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 197 x 211 x 20 x 1 x 283 x 1 = 1411615320
Therefore, the lowest common multiple of 422,120,394,849,197 is 1411615320.
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.
422 x 120 x 394 x 849 x 197 = 3337058616480
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.
422 : 1, 2, 211, 422
120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
394 : 1, 2, 197, 394
849 : 1, 3, 283, 849
197 : 1, 197
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,120,394,849,197, is 1.
Now, the common factors can be found like this.
422:2x 211
120:2x 2x 2x 3x 5
394:2x 197
849:3x 283
197:197
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 3x 197 = 2364
Therefore, the value for common factors is 2364.
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 = 3337058616480/(1x2364)
LCM = 3337058616480/2364
LCM = 1411615320
Thus, we can understand that the LCM of 422,120,394,849,197 is 1411615320.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 422, 120, 394, 849, 197
1. What is the LCM of 422, 120, 394, 849, 197?
Answer: LCM of 422, 120, 394, 849, 197 is 1411615320.
2. How to calculate the LCM of 422, 120, 394, 849, 197?
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 422, 120, 394, 849, 197.
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}.