LCM of 571, 474, 646, 996, 581
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 571, 474, 646, 996, 581 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, 474, 646, 996, 581. So, keep reading to learn more.
Given numbers are 571,474,646,996,581
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 571,474,646,996,581 is 101583483204.
Find LCM of 571,474,646,996,581 with Prime Factorization
| 2 | 571, 474, 646, 996, 581 |
| 3 | 571, 237, 323, 498, 581 |
| 83 | 571, 79, 323, 166, 581 |
| 571, 79, 323, 2, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 83 x 571 x 79 x 323 x 2 x 7 = 101583483204
Therefore, the lowest common multiple of 571,474,646,996,581 is 101583483204.
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 474 x 646 x 996 x 581 = 101177149271184
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
474 : 1, 2, 3, 6, 79, 158, 237, 474
646 : 1, 2, 17, 19, 34, 38, 323, 646
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
581 : 1, 7, 83, 581
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 571,474,646,996,581, is 1.
Now, the common factors can be found like this.
571:571
474:2x 3x 79
646:2x 17x 19
996:2x 2x 3x 83
581:7x 83
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 3x 83 = 996
Therefore, the value for common factors is 996.
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 = 101177149271184/(1x996)
LCM = 101177149271184/996
LCM = 101583483204
Thus, we can understand that the LCM of 571,474,646,996,581 is 101583483204.
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FAQs on LCM of 571, 474, 646, 996, 581
1. What is the LCM of 571, 474, 646, 996, 581?
Answer: LCM of 571, 474, 646, 996, 581 is 101583483204.
2. How to calculate the LCM of 571, 474, 646, 996, 581?
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, 474, 646, 996, 581.
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}.