LCM of 247, 430, 672, 273, 285
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 247, 430, 672, 273, 285 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, 430, 672, 273, 285. So, keep reading to learn more.
Given numbers are 247,430,672,273,285
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 247,430,672,273,285 is 35686560.
Find LCM of 247,430,672,273,285 with Prime Factorization
| 2 | 247, 430, 672, 273, 285 |
| 3 | 247, 215, 336, 273, 285 |
| 5 | 247, 215, 112, 91, 95 |
| 7 | 247, 43, 112, 91, 19 |
| 13 | 247, 43, 16, 13, 19 |
| 19 | 19, 43, 16, 1, 19 |
| 1, 43, 16, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 13 x 19 x 1 x 43 x 16 x 1 x 1 = 35686560
Therefore, the lowest common multiple of 247,430,672,273,285 is 35686560.
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 430 x 672 x 273 x 285 = 5553185601600
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
430 : 1, 2, 5, 10, 43, 86, 215, 430
672 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
273 : 1, 3, 7, 13, 21, 39, 91, 273
285 : 1, 3, 5, 15, 19, 57, 95, 285
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 247,430,672,273,285, is 1.
Now, the common factors can be found like this.
247:13x 19
430:2x 5x 43
672:2x 2x 2x 2x 2x 3x 7
273:3x 7x 13
285:3x 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 3x 3x 5x 7x 13x 19 = 155610
Therefore, the value for common factors is 155610.
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 = 5553185601600/(1x155610)
LCM = 5553185601600/155610
LCM = 35686560
Thus, we can understand that the LCM of 247,430,672,273,285 is 35686560.
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FAQs on LCM of 247, 430, 672, 273, 285
1. What is the LCM of 247, 430, 672, 273, 285?
Answer: LCM of 247, 430, 672, 273, 285 is 35686560.
2. How to calculate the LCM of 247, 430, 672, 273, 285?
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, 430, 672, 273, 285.
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}.