LCM of 571, 546, 629, 512, 945
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 571, 546, 629, 512, 945 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 571, 546, 629, 512, 945. So, keep reading to learn more.
Given numbers are 571,546,629,512,945
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 571,546,629,512,945 is 2259081377280.
Find LCM of 571,546,629,512,945 with Prime Factorization
| 2 | 571, 546, 629, 512, 945 |
| 3 | 571, 273, 629, 256, 945 |
| 7 | 571, 91, 629, 256, 315 |
| 571, 13, 629, 256, 45 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 571 x 13 x 629 x 256 x 45 = 2259081377280
Therefore, the lowest common multiple of 571,546,629,512,945 is 2259081377280.
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.
571 x 546 x 629 x 512 x 945 = 94881417845760
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.
571 : 1, 571
546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
629 : 1, 17, 37, 629
512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512
945 : 1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 571,546,629,512,945, is 1.
Now, the common factors can be found like this.
571:571
546:2x 3x 7x 13
629:17x 37
512:2x 2x 2x 2x 2x 2x 2x 2x 2
945:3x 3x 3x 5x 7
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 7 = 42
Therefore, the value for common factors is 42.
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 = 94881417845760/(1x42)
LCM = 94881417845760/42
LCM = 2259081377280
Thus, we can understand that the LCM of 571,546,629,512,945 is 2259081377280.
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FAQs on LCM of 571, 546, 629, 512, 945
1. What is the LCM of 571, 546, 629, 512, 945?
Answer: LCM of 571, 546, 629, 512, 945 is 2259081377280.
2. How to calculate the LCM of 571, 546, 629, 512, 945?
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 571, 546, 629, 512, 945.
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}.