LCM of 635, 488, 623, 540, 427
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 635, 488, 623, 540, 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 635, 488, 623, 540, 427. So, keep reading to learn more.
Given numbers are 635,488,623,540,427
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 635,488,623,540,427 is 5212491480.
Find LCM of 635,488,623,540,427 with Prime Factorization
| 2 | 635, 488, 623, 540, 427 |
| 2 | 635, 244, 623, 270, 427 |
| 5 | 635, 122, 623, 135, 427 |
| 7 | 127, 122, 623, 27, 427 |
| 61 | 127, 122, 89, 27, 61 |
| 127, 2, 89, 27, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 7 x 61 x 127 x 2 x 89 x 27 x 1 = 5212491480
Therefore, the lowest common multiple of 635,488,623,540,427 is 5212491480.
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.
635 x 488 x 623 x 540 x 427 = 44514677239200
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.
635 : 1, 5, 127, 635
488 : 1, 2, 4, 8, 61, 122, 244, 488
623 : 1, 7, 89, 623
540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540
427 : 1, 7, 61, 427
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 635,488,623,540,427, is 1.
Now, the common factors can be found like this.
635:5x 127
488:2x 2x 2x 61
623:7x 89
540:2x 2x 3x 3x 3x 5
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 2x 5x 7x 61 = 8540
Therefore, the value for common factors is 8540.
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 = 44514677239200/(1x8540)
LCM = 44514677239200/8540
LCM = 5212491480
Thus, we can understand that the LCM of 635,488,623,540,427 is 5212491480.
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FAQs on LCM of 635, 488, 623, 540, 427
1. What is the LCM of 635, 488, 623, 540, 427?
Answer: LCM of 635, 488, 623, 540, 427 is 5212491480.
2. How to calculate the LCM of 635, 488, 623, 540, 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 635, 488, 623, 540, 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}.