LCM of 394, 795, 390, 960
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 394, 795, 390, 960 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 394, 795, 390, 960. So, keep reading to learn more.
Given numbers are 394,795,390,960
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 394,795,390,960 is 130303680.
Find LCM of 394,795,390,960 with Prime Factorization
| 2 | 394, 795, 390, 960 |
| 3 | 197, 795, 195, 480 |
| 5 | 197, 265, 65, 160 |
| 197, 53, 13, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 197 x 53 x 13 x 32 = 130303680
Therefore, the lowest common multiple of 394,795,390,960 is 130303680.
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.
394 x 795 x 390 x 960 = 117273312000
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.
394 : 1, 2, 197, 394
795 : 1, 3, 5, 15, 53, 159, 265, 795
390 : 1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,795,390,960, is 1.
Now, the common factors can be found like this.
394:2x 197
795:3x 5x 53
390:2x 3x 5x 13
960:2x 2x 2x 2x 2x 2x 3x 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 2x 3x 3x 5x 5 = 900
Therefore, the value for common factors is 900.
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 = 117273312000/(1x900)
LCM = 117273312000/900
LCM = 130303680
Thus, we can understand that the LCM of 394,795,390,960 is 130303680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 394, 795, 390, 960
1. What is the LCM of 394, 795, 390, 960?
Answer: LCM of 394, 795, 390, 960 is 130303680.
2. How to calculate the LCM of 394, 795, 390, 960?
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 394, 795, 390, 960.
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}.