LCM of 913, 256, 363, 548, 581
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 256, 363, 548, 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 913, 256, 363, 548, 581. So, keep reading to learn more.
Given numbers are 913,256,363,548,581
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,256,363,548,581 is 7396790016.
Find LCM of 913,256,363,548,581 with Prime Factorization
| 2 | 913, 256, 363, 548, 581 |
| 2 | 913, 128, 363, 274, 581 |
| 11 | 913, 64, 363, 137, 581 |
| 83 | 83, 64, 33, 137, 581 |
| 1, 64, 33, 137, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 11 x 83 x 1 x 64 x 33 x 137 x 7 = 7396790016
Therefore, the lowest common multiple of 913,256,363,548,581 is 7396790016.
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.
913 x 256 x 363 x 548 x 581 = 27013077138432
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.
913 : 1, 11, 83, 913
256 : 1, 2, 4, 8, 16, 32, 64, 128, 256
363 : 1, 3, 11, 33, 121, 363
548 : 1, 2, 4, 137, 274, 548
581 : 1, 7, 83, 581
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,256,363,548,581, is 1.
Now, the common factors can be found like this.
913:11x 83
256:2x 2x 2x 2x 2x 2x 2x 2
363:3x 11x 11
548:2x 2x 137
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 11x 83 = 3652
Therefore, the value for common factors is 3652.
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 = 27013077138432/(1x3652)
LCM = 27013077138432/3652
LCM = 7396790016
Thus, we can understand that the LCM of 913,256,363,548,581 is 7396790016.
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FAQs on LCM of 913, 256, 363, 548, 581
1. What is the LCM of 913, 256, 363, 548, 581?
Answer: LCM of 913, 256, 363, 548, 581 is 7396790016.
2. How to calculate the LCM of 913, 256, 363, 548, 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 913, 256, 363, 548, 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}.