LCM of 394, 786, 990, 215, 470
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 394, 786, 990, 215, 470 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, 786, 990, 215, 470. So, keep reading to learn more.
Given numbers are 394,786,990,215,470
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 394,786,990,215,470 is 51634387530.
Find LCM of 394,786,990,215,470 with Prime Factorization
| 2 | 394, 786, 990, 215, 470 |
| 3 | 197, 393, 495, 215, 235 |
| 5 | 197, 131, 165, 215, 235 |
| 197, 131, 33, 43, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 197 x 131 x 33 x 43 x 47 = 51634387530
Therefore, the lowest common multiple of 394,786,990,215,470 is 51634387530.
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 786 x 990 x 215 x 470 = 30980632518000
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
786 : 1, 2, 3, 6, 131, 262, 393, 786
990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
215 : 1, 5, 43, 215
470 : 1, 2, 5, 10, 47, 94, 235, 470
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 394,786,990,215,470, is 1.
Now, the common factors can be found like this.
394:2x 197
786:2x 3x 131
990:2x 3x 3x 5x 11
215:5x 43
470:2x 5x 47
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 3x 5x 5 = 600
Therefore, the value for common factors is 600.
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 = 30980632518000/(1x600)
LCM = 30980632518000/600
LCM = 51634387530
Thus, we can understand that the LCM of 394,786,990,215,470 is 51634387530.
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FAQs on LCM of 394, 786, 990, 215, 470
1. What is the LCM of 394, 786, 990, 215, 470?
Answer: LCM of 394, 786, 990, 215, 470 is 51634387530.
2. How to calculate the LCM of 394, 786, 990, 215, 470?
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, 786, 990, 215, 470.
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}.