LCM of 390, 305, 635, 400, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 390, 305, 635, 400, 945 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 390, 305, 635, 400, 945. So, keep reading to learn more.
Given numbers are 390,305,635,400,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 390,305,635,400,945 is 7613751600.
Find LCM of 390,305,635,400,945 with Prime Factorization
| 2 | 390, 305, 635, 400, 945 |
| 3 | 195, 305, 635, 200, 945 |
| 5 | 65, 305, 635, 200, 315 |
| 13, 61, 127, 40, 63 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 13 x 61 x 127 x 40 x 63 = 7613751600
Therefore, the lowest common multiple of 390,305,635,400,945 is 7613751600.
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.
390 x 305 x 635 x 400 x 945 = 28551568500000
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.
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
305 : 1, 5, 61, 305
635 : 1, 5, 127, 635
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
5 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,305,635,400,945, is 5.
Now, the common factors can be found like this.
390:2x 3x 5x 13
305:5x 61
635:5x 127
400:2x 2x 2x 2x 5x 5
945:3x 3x 3x 5x 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 3x 5x 5x 5 = 750
Therefore, the value for common factors is 750.
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 = 28551568500000/(5x750)
LCM = 28551568500000/3750
LCM = 7613751600
Thus, we can understand that the LCM of 390,305,635,400,945 is 7613751600.
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FAQs on LCM of 390, 305, 635, 400, 945
1. What is the LCM of 390, 305, 635, 400, 945?
Answer: LCM of 390, 305, 635, 400, 945 is 7613751600.
2. How to calculate the LCM of 390, 305, 635, 400, 945?
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 390, 305, 635, 400, 945.
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}.