LCM of 390, 871, 455, 567, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 390, 871, 455, 567, 646 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, 871, 455, 567, 646. So, keep reading to learn more.
Given numbers are 390,871,455,567,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 390,871,455,567,646 is 1595158110.
Find LCM of 390,871,455,567,646 with Prime Factorization
| 2 | 390, 871, 455, 567, 646 |
| 3 | 195, 871, 455, 567, 323 |
| 5 | 65, 871, 455, 189, 323 |
| 7 | 13, 871, 91, 189, 323 |
| 13 | 13, 871, 13, 27, 323 |
| 1, 67, 1, 27, 323 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 13 x 1 x 67 x 1 x 27 x 323 = 1595158110
Therefore, the lowest common multiple of 390,871,455,567,646 is 1595158110.
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 871 x 455 x 567 x 646 = 56612161323900
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
871 : 1, 13, 67, 871
455 : 1, 5, 7, 13, 35, 65, 91, 455
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
646 : 1, 2, 17, 19, 34, 38, 323, 646
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 390,871,455,567,646, is 1.
Now, the common factors can be found like this.
390:2x 3x 5x 13
871:13x 67
455:5x 7x 13
567:3x 3x 3x 3x 7
646:2x 17x 19
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 7x 13x 13 = 35490
Therefore, the value for common factors is 35490.
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 = 56612161323900/(1x35490)
LCM = 56612161323900/35490
LCM = 1595158110
Thus, we can understand that the LCM of 390,871,455,567,646 is 1595158110.
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FAQs on LCM of 390, 871, 455, 567, 646
1. What is the LCM of 390, 871, 455, 567, 646?
Answer: LCM of 390, 871, 455, 567, 646 is 1595158110.
2. How to calculate the LCM of 390, 871, 455, 567, 646?
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, 871, 455, 567, 646.
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}.