LCM of 731, 464, 804, 172, 782
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 731, 464, 804, 172, 782 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 731, 464, 804, 172, 782. So, keep reading to learn more.
Given numbers are 731,464,804,172,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 731,464,804,172,782 is 1568047632.
Find LCM of 731,464,804,172,782 with Prime Factorization
| 2 | 731, 464, 804, 172, 782 |
| 2 | 731, 232, 402, 86, 391 |
| 17 | 731, 116, 201, 43, 391 |
| 43 | 43, 116, 201, 43, 23 |
| 1, 116, 201, 1, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 17 x 43 x 1 x 116 x 201 x 1 x 23 = 1568047632
Therefore, the lowest common multiple of 731,464,804,172,782 is 1568047632.
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.
731 x 464 x 804 x 172 x 782 = 36679770207744
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.
731 : 1, 17, 43, 731
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
804 : 1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804
172 : 1, 2, 4, 43, 86, 172
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 731,464,804,172,782, is 1.
Now, the common factors can be found like this.
731:17x 43
464:2x 2x 2x 2x 29
804:2x 2x 3x 67
172:2x 2x 43
782:2x 17x 23
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 2x 2x 17x 43 = 23392
Therefore, the value for common factors is 23392.
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 = 36679770207744/(1x23392)
LCM = 36679770207744/23392
LCM = 1568047632
Thus, we can understand that the LCM of 731,464,804,172,782 is 1568047632.
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FAQs on LCM of 731, 464, 804, 172, 782
1. What is the LCM of 731, 464, 804, 172, 782?
Answer: LCM of 731, 464, 804, 172, 782 is 1568047632.
2. How to calculate the LCM of 731, 464, 804, 172, 782?
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 731, 464, 804, 172, 782.
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}.