LCM of 872, 763, 644, 443, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 872, 763, 644, 443, 522 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 872, 763, 644, 443, 522. So, keep reading to learn more.
Given numbers are 872,763,644,443,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 872,763,644,443,522 is 16232544216.
Find LCM of 872,763,644,443,522 with Prime Factorization
| 2 | 872, 763, 644, 443, 522 |
| 2 | 436, 763, 322, 443, 261 |
| 7 | 218, 763, 161, 443, 261 |
| 109 | 218, 109, 23, 443, 261 |
| 2, 1, 23, 443, 261 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 109 x 2 x 1 x 23 x 443 x 261 = 16232544216
Therefore, the lowest common multiple of 872,763,644,443,522 is 16232544216.
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.
872 x 763 x 644 x 443 x 522 = 99083449894464
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.
872 : 1, 2, 4, 8, 109, 218, 436, 872
763 : 1, 7, 109, 763
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
443 : 1, 443
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,763,644,443,522, is 1.
Now, the common factors can be found like this.
872:2x 2x 2x 109
763:7x 109
644:2x 2x 7x 23
443:443
522:2x 3x 3x 29
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 7x 109 = 6104
Therefore, the value for common factors is 6104.
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 = 99083449894464/(1x6104)
LCM = 99083449894464/6104
LCM = 16232544216
Thus, we can understand that the LCM of 872,763,644,443,522 is 16232544216.
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FAQs on LCM of 872, 763, 644, 443, 522
1. What is the LCM of 872, 763, 644, 443, 522?
Answer: LCM of 872, 763, 644, 443, 522 is 16232544216.
2. How to calculate the LCM of 872, 763, 644, 443, 522?
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 872, 763, 644, 443, 522.
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}.