LCM of 496, 417, 804, 206, 433
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 496, 417, 804, 206, 433 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 496, 417, 804, 206, 433. So, keep reading to learn more.
Given numbers are 496,417,804,206,433
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 496,417,804,206,433 is 618041524656.
Find LCM of 496,417,804,206,433 with Prime Factorization
| 2 | 496, 417, 804, 206, 433 |
| 2 | 248, 417, 402, 103, 433 |
| 3 | 124, 417, 201, 103, 433 |
| 124, 139, 67, 103, 433 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 124 x 139 x 67 x 103 x 433 = 618041524656
Therefore, the lowest common multiple of 496,417,804,206,433 is 618041524656.
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.
496 x 417 x 804 x 206 x 433 = 14832996591744
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.
496 : 1, 2, 4, 8, 16, 31, 62, 124, 248, 496
417 : 1, 3, 139, 417
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
206 : 1, 2, 103, 206
433 : 1, 433
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 496,417,804,206,433, is 1.
Now, the common factors can be found like this.
496:2x 2x 2x 2x 31
417:3x 139
804:2x 2x 3x 67
206:2x 103
433:433
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 3 = 24
Therefore, the value for common factors is 24.
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 = 14832996591744/(1x24)
LCM = 14832996591744/24
LCM = 618041524656
Thus, we can understand that the LCM of 496,417,804,206,433 is 618041524656.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 496, 417, 804, 206, 433
1. What is the LCM of 496, 417, 804, 206, 433?
Answer: LCM of 496, 417, 804, 206, 433 is 618041524656.
2. How to calculate the LCM of 496, 417, 804, 206, 433?
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 496, 417, 804, 206, 433.
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}.