LCM of 247, 270, 396, 464, 190
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 270, 396, 464, 190 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 247, 270, 396, 464, 190. So, keep reading to learn more.
Given numbers are 247,270,396,464,190
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,270,396,464,190 is 170192880.
Find LCM of 247,270,396,464,190 with Prime Factorization
| 2 | 247, 270, 396, 464, 190 |
| 2 | 247, 135, 198, 232, 95 |
| 3 | 247, 135, 99, 116, 95 |
| 3 | 247, 45, 33, 116, 95 |
| 5 | 247, 15, 11, 116, 95 |
| 19 | 247, 3, 11, 116, 19 |
| 13, 3, 11, 116, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 19 x 13 x 3 x 11 x 116 x 1 = 170192880
Therefore, the lowest common multiple of 247,270,396,464,190 is 170192880.
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.
247 x 270 x 396 x 464 x 190 = 2328238598400
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.
247 : 1, 13, 19, 247
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
190 : 1, 2, 5, 10, 19, 38, 95, 190
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,270,396,464,190, is 1.
Now, the common factors can be found like this.
247:13x 19
270:2x 3x 3x 3x 5
396:2x 2x 3x 3x 11
464:2x 2x 2x 2x 29
190:2x 5x 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 2x 2x 2x 3x 3x 5x 19 = 13680
Therefore, the value for common factors is 13680.
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 = 2328238598400/(1x13680)
LCM = 2328238598400/13680
LCM = 170192880
Thus, we can understand that the LCM of 247,270,396,464,190 is 170192880.
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FAQs on LCM of 247, 270, 396, 464, 190
1. What is the LCM of 247, 270, 396, 464, 190?
Answer: LCM of 247, 270, 396, 464, 190 is 170192880.
2. How to calculate the LCM of 247, 270, 396, 464, 190?
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 247, 270, 396, 464, 190.
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}.