LCM of 409, 488, 504, 857, 254
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 409, 488, 504, 857, 254 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 409, 488, 504, 857, 254. So, keep reading to learn more.
Given numbers are 409,488,504,857,254
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 409,488,504,857,254 is 1368573802344.
Find LCM of 409,488,504,857,254 with Prime Factorization
| 2 | 409, 488, 504, 857, 254 |
| 2 | 409, 244, 252, 857, 127 |
| 2 | 409, 122, 126, 857, 127 |
| 409, 61, 63, 857, 127 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 409 x 61 x 63 x 857 x 127 = 1368573802344
Therefore, the lowest common multiple of 409,488,504,857,254 is 1368573802344.
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.
409 x 488 x 504 x 857 x 254 = 21897180837504
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.
409 : 1, 409
488 : 1, 2, 4, 8, 61, 122, 244, 488
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
857 : 1, 857
254 : 1, 2, 127, 254
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 409,488,504,857,254, is 1.
Now, the common factors can be found like this.
409:409
488:2x 2x 2x 61
504:2x 2x 2x 3x 3x 7
857:857
254:2x 127
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 2 = 16
Therefore, the value for common factors is 16.
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 = 21897180837504/(1x16)
LCM = 21897180837504/16
LCM = 1368573802344
Thus, we can understand that the LCM of 409,488,504,857,254 is 1368573802344.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 409, 488, 504, 857, 254
1. What is the LCM of 409, 488, 504, 857, 254?
Answer: LCM of 409, 488, 504, 857, 254 is 1368573802344.
2. How to calculate the LCM of 409, 488, 504, 857, 254?
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 409, 488, 504, 857, 254.
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}.