LCM of 250, 494, 923, 729, 252
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 250, 494, 923, 729, 252 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 250, 494, 923, 729, 252. So, keep reading to learn more.
Given numbers are 250,494,923,729,252
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 250,494,923,729,252 is 44745655500.
Find LCM of 250,494,923,729,252 with Prime Factorization
| 2 | 250, 494, 923, 729, 252 |
| 3 | 125, 247, 923, 729, 126 |
| 3 | 125, 247, 923, 243, 42 |
| 13 | 125, 247, 923, 81, 14 |
| 125, 19, 71, 81, 14 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 13 x 125 x 19 x 71 x 81 x 14 = 44745655500
Therefore, the lowest common multiple of 250,494,923,729,252 is 44745655500.
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.
250 x 494 x 923 x 729 x 252 = 20940966774000
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.
250 : 1, 2, 5, 10, 25, 50, 125, 250
494 : 1, 2, 13, 19, 26, 38, 247, 494
923 : 1, 13, 71, 923
729 : 1, 3, 9, 27, 81, 243, 729
252 : 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 250,494,923,729,252, is 1.
Now, the common factors can be found like this.
250:2x 5x 5x 5
494:2x 13x 19
923:13x 71
729:3x 3x 3x 3x 3x 3
252:2x 2x 3x 3x 7
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 3x 13 = 468
Therefore, the value for common factors is 468.
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 = 20940966774000/(1x468)
LCM = 20940966774000/468
LCM = 44745655500
Thus, we can understand that the LCM of 250,494,923,729,252 is 44745655500.
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FAQs on LCM of 250, 494, 923, 729, 252
1. What is the LCM of 250, 494, 923, 729, 252?
Answer: LCM of 250, 494, 923, 729, 252 is 44745655500.
2. How to calculate the LCM of 250, 494, 923, 729, 252?
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 250, 494, 923, 729, 252.
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}.