LCM of 247, 949, 364, 494, 481
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 949, 364, 494, 481 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 247, 949, 364, 494, 481. So, keep reading to learn more.
Given numbers are 247,949,364,494,481
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,949,364,494,481 is 18680116.
Find LCM of 247,949,364,494,481 with Prime Factorization
| 2 | 247, 949, 364, 494, 481 |
| 13 | 247, 949, 182, 247, 481 |
| 19 | 19, 73, 14, 19, 37 |
| 1, 73, 14, 1, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 19 x 1 x 73 x 14 x 1 x 37 = 18680116
Therefore, the lowest common multiple of 247,949,364,494,481 is 18680116.
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.
247 x 949 x 364 x 494 x 481 = 20273866136888
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.
247 : 1, 13, 19, 247
949 : 1, 13, 73, 949
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
494 : 1, 2, 13, 19, 26, 38, 247, 494
481 : 1, 13, 37, 481
13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,949,364,494,481, is 13.
Now, the common factors can be found like this.
247:13x 19
949:13x 73
364:2x 2x 7x 13
494:2x 13x 19
481:13x 37
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 13x 13x 13x 19 = 83486
Therefore, the value for common factors is 83486.
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 = 20273866136888/(13x83486)
LCM = 20273866136888/1085318
LCM = 18680116
Thus, we can understand that the LCM of 247,949,364,494,481 is 18680116.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 247, 949, 364, 494, 481
1. What is the LCM of 247, 949, 364, 494, 481?
Answer: LCM of 247, 949, 364, 494, 481 is 18680116.
2. How to calculate the LCM of 247, 949, 364, 494, 481?
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 247, 949, 364, 494, 481.
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}.