LCM of 987, 629, 623, 748, 801
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 987, 629, 623, 748, 801 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 987, 629, 623, 748, 801. So, keep reading to learn more.
Given numbers are 987,629,623,748,801
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 987,629,623,748,801 is 7293428604.
Find LCM of 987,629,623,748,801 with Prime Factorization
| 3 | 987, 629, 623, 748, 801 |
| 7 | 329, 629, 623, 748, 267 |
| 17 | 47, 629, 89, 748, 267 |
| 89 | 47, 37, 89, 44, 267 |
| 47, 37, 1, 44, 3 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 17 x 89 x 47 x 37 x 1 x 44 x 3 = 7293428604
Therefore, the lowest common multiple of 987,629,623,748,801 is 7293428604.
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.
987 x 629 x 623 x 748 x 801 = 231734107034892
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.
987 : 1, 3, 7, 21, 47, 141, 329, 987
629 : 1, 17, 37, 629
623 : 1, 7, 89, 623
748 : 1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
801 : 1, 3, 9, 89, 267, 801
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 987,629,623,748,801, is 1.
Now, the common factors can be found like this.
987:3x 7x 47
629:17x 37
623:7x 89
748:2x 2x 11x 17
801:3x 3x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 17x 89 = 31773
Therefore, the value for common factors is 31773.
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 = 231734107034892/(1x31773)
LCM = 231734107034892/31773
LCM = 7293428604
Thus, we can understand that the LCM of 987,629,623,748,801 is 7293428604.
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FAQs on LCM of 987, 629, 623, 748, 801
1. What is the LCM of 987, 629, 623, 748, 801?
Answer: LCM of 987, 629, 623, 748, 801 is 7293428604.
2. How to calculate the LCM of 987, 629, 623, 748, 801?
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 987, 629, 623, 748, 801.
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}.