LCM of 611, 935, 221, 394, 431
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 611, 935, 221, 394, 431 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 611, 935, 221, 394, 431. So, keep reading to learn more.
Given numbers are 611,935,221,394,431
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 611,935,221,394,431 is 97012190990.
Find LCM of 611,935,221,394,431 with Prime Factorization
| 13 | 611, 935, 221, 394, 431 |
| 17 | 47, 935, 17, 394, 431 |
| 47, 55, 1, 394, 431 |
Multiply the prime numbers at the bottom and the left side.
13 x 17 x 47 x 55 x 1 x 394 x 431 = 97012190990
Therefore, the lowest common multiple of 611,935,221,394,431 is 97012190990.
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.
611 x 935 x 221 x 394 x 431 = 21439694208790
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.
611 : 1, 13, 47, 611
935 : 1, 5, 11, 17, 55, 85, 187, 935
221 : 1, 13, 17, 221
394 : 1, 2, 197, 394
431 : 1, 431
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 611,935,221,394,431, is 1.
Now, the common factors can be found like this.
611:13x 47
935:5x 11x 17
221:13x 17
394:2x 197
431:431
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
13x 17 = 221
Therefore, the value for common factors is 221.
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 = 21439694208790/(1x221)
LCM = 21439694208790/221
LCM = 97012190990
Thus, we can understand that the LCM of 611,935,221,394,431 is 97012190990.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 611, 935, 221, 394, 431
1. What is the LCM of 611, 935, 221, 394, 431?
Answer: LCM of 611, 935, 221, 394, 431 is 97012190990.
2. How to calculate the LCM of 611, 935, 221, 394, 431?
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 611, 935, 221, 394, 431.
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}.