LCM of 443, 972, 806, 812, 123
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 443, 972, 806, 812, 123 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 443, 972, 806, 812, 123. So, keep reading to learn more.
Given numbers are 443,972,806,812,123
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 443,972,806,812,123 is 1444291754724.
Find LCM of 443,972,806,812,123 with Prime Factorization
| 2 | 443, 972, 806, 812, 123 |
| 2 | 443, 486, 403, 406, 123 |
| 3 | 443, 243, 403, 203, 123 |
| 443, 81, 403, 203, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 443 x 81 x 403 x 203 x 41 = 1444291754724
Therefore, the lowest common multiple of 443,972,806,812,123 is 1444291754724.
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.
443 x 972 x 806 x 812 x 123 = 34663002113376
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.
443 : 1, 443
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
806 : 1, 2, 13, 26, 31, 62, 403, 806
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
123 : 1, 3, 41, 123
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 443,972,806,812,123, is 1.
Now, the common factors can be found like this.
443:443
972:2x 2x 3x 3x 3x 3x 3
806:2x 13x 31
812:2x 2x 7x 29
123:3x 41
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 3 = 24
Therefore, the value for common factors is 24.
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 = 34663002113376/(1x24)
LCM = 34663002113376/24
LCM = 1444291754724
Thus, we can understand that the LCM of 443,972,806,812,123 is 1444291754724.
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FAQs on LCM of 443, 972, 806, 812, 123
1. What is the LCM of 443, 972, 806, 812, 123?
Answer: LCM of 443, 972, 806, 812, 123 is 1444291754724.
2. How to calculate the LCM of 443, 972, 806, 812, 123?
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 443, 972, 806, 812, 123.
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}.