LCM of 464, 704, 174, 317, 733
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 464, 704, 174, 317, 733 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 464, 704, 174, 317, 733. So, keep reading to learn more.
Given numbers are 464,704,174,317,733
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 464,704,174,317,733 is 14231646528.
Find LCM of 464,704,174,317,733 with Prime Factorization
| 2 | 464, 704, 174, 317, 733 |
| 2 | 232, 352, 87, 317, 733 |
| 2 | 116, 176, 87, 317, 733 |
| 2 | 58, 88, 87, 317, 733 |
| 29 | 29, 44, 87, 317, 733 |
| 1, 44, 3, 317, 733 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 29 x 1 x 44 x 3 x 317 x 733 = 14231646528
Therefore, the lowest common multiple of 464,704,174,317,733 is 14231646528.
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.
464 x 704 x 174 x 317 x 733 = 13206967977984
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.
464 : 1, 2, 4, 8, 16, 29, 58, 116, 232, 464
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
174 : 1, 2, 3, 6, 29, 58, 87, 174
317 : 1, 317
733 : 1, 733
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 464,704,174,317,733, is 1.
Now, the common factors can be found like this.
464:2x 2x 2x 2x 29
704:2x 2x 2x 2x 2x 2x 11
174:2x 3x 29
317:317
733:733
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 29 = 928
Therefore, the value for common factors is 928.
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 = 13206967977984/(1x928)
LCM = 13206967977984/928
LCM = 14231646528
Thus, we can understand that the LCM of 464,704,174,317,733 is 14231646528.
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FAQs on LCM of 464, 704, 174, 317, 733
1. What is the LCM of 464, 704, 174, 317, 733?
Answer: LCM of 464, 704, 174, 317, 733 is 14231646528.
2. How to calculate the LCM of 464, 704, 174, 317, 733?
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 464, 704, 174, 317, 733.
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}.