LCM of 902, 341, 381, 930, 427
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 902, 341, 381, 930, 427 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 902, 341, 381, 930, 427. So, keep reading to learn more.
Given numbers are 902,341,381,930,427
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 902,341,381,930,427 is 22745269470.
Find LCM of 902,341,381,930,427 with Prime Factorization
| 2 | 902, 341, 381, 930, 427 |
| 3 | 451, 341, 381, 465, 427 |
| 11 | 451, 341, 127, 155, 427 |
| 31 | 41, 31, 127, 155, 427 |
| 41, 1, 127, 5, 427 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 31 x 41 x 1 x 127 x 5 x 427 = 22745269470
Therefore, the lowest common multiple of 902,341,381,930,427 is 22745269470.
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.
902 x 341 x 381 x 930 x 427 = 46536821335620
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.
902 : 1, 2, 11, 22, 41, 82, 451, 902
341 : 1, 11, 31, 341
381 : 1, 3, 127, 381
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
427 : 1, 7, 61, 427
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 902,341,381,930,427, is 1.
Now, the common factors can be found like this.
902:2x 11x 41
341:11x 31
381:3x 127
930:2x 3x 5x 31
427:7x 61
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 31 = 2046
Therefore, the value for common factors is 2046.
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 = 46536821335620/(1x2046)
LCM = 46536821335620/2046
LCM = 22745269470
Thus, we can understand that the LCM of 902,341,381,930,427 is 22745269470.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 902, 341, 381, 930, 427
1. What is the LCM of 902, 341, 381, 930, 427?
Answer: LCM of 902, 341, 381, 930, 427 is 22745269470.
2. How to calculate the LCM of 902, 341, 381, 930, 427?
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 902, 341, 381, 930, 427.
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}.