Find the LCM of 250, 976, 299, 721, 504 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, 976, 299, 721, 504. So, keep reading to learn more.
Given numbers are 250,976,299,721,504
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 250,976,299,721,504 is 236705742000.
Find LCM of 250,976,299,721,504 with Prime Factorization
2 | 250, 976, 299, 721, 504 |
2 | 125, 488, 299, 721, 252 |
2 | 125, 244, 299, 721, 126 |
7 | 125, 122, 299, 721, 63 |
125, 122, 299, 103, 9 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 125 x 122 x 299 x 103 x 9 = 236705742000
Therefore, the lowest common multiple of 250,976,299,721,504 is 236705742000.
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 976 x 299 x 721 x 504 = 26511043104000
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
976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
299 : 1, 13, 23, 299
721 : 1, 7, 103, 721
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 250,976,299,721,504, is 1.
Now, the common factors can be found like this.
250:2x 5x 5x 5
976:2x 2x 2x 2x 61
299:13x 23
721:7x 103
504:2x 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 2x 2x 7 = 112
Therefore, the value for common factors is 112.
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 = 26511043104000/(1x112)
LCM = 26511043104000/112
LCM = 236705742000
Thus, we can understand that the LCM of 250,976,299,721,504 is 236705742000.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 250, 976, 299, 721, 504?
Answer: LCM of 250, 976, 299, 721, 504 is 236705742000.
2. How to calculate the LCM of 250, 976, 299, 721, 504?
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, 976, 299, 721, 504.
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}.