LCM of 443, 687, 381, 390, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 443, 687, 381, 390, 900 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, 687, 381, 390, 900. So, keep reading to learn more.
Given numbers are 443,687,381,390,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 443,687,381,390,900 is 150740097300.
Find LCM of 443,687,381,390,900 with Prime Factorization
| 2 | 443, 687, 381, 390, 900 |
| 3 | 443, 687, 381, 195, 450 |
| 5 | 443, 229, 127, 65, 150 |
| 443, 229, 127, 13, 30 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 443 x 229 x 127 x 13 x 30 = 150740097300
Therefore, the lowest common multiple of 443,687,381,390,900 is 150740097300.
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 687 x 381 x 390 x 900 = 40699826271000
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
687 : 1, 3, 229, 687
381 : 1, 3, 127, 381
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 443,687,381,390,900, is 1.
Now, the common factors can be found like this.
443:443
687:3x 229
381:3x 127
390:2x 3x 5x 13
900:2x 2x 3x 3x 5x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5 = 270
Therefore, the value for common factors is 270.
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 = 40699826271000/(1x270)
LCM = 40699826271000/270
LCM = 150740097300
Thus, we can understand that the LCM of 443,687,381,390,900 is 150740097300.
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FAQs on LCM of 443, 687, 381, 390, 900
1. What is the LCM of 443, 687, 381, 390, 900?
Answer: LCM of 443, 687, 381, 390, 900 is 150740097300.
2. How to calculate the LCM of 443, 687, 381, 390, 900?
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, 687, 381, 390, 900.
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}.