LCM of 419, 466, 745, 904, 166
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 419, 466, 745, 904, 166 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 419, 466, 745, 904, 166. So, keep reading to learn more.
Given numbers are 419,466,745,904,166
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 419,466,745,904,166 is 5457236052680.
Find LCM of 419,466,745,904,166 with Prime Factorization
| 2 | 419, 466, 745, 904, 166 |
| 419, 233, 745, 452, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 419 x 233 x 745 x 452 x 83 = 5457236052680
Therefore, the lowest common multiple of 419,466,745,904,166 is 5457236052680.
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.
419 x 466 x 745 x 904 x 166 = 21828944210720
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.
419 : 1, 419
466 : 1, 2, 233, 466
745 : 1, 5, 149, 745
904 : 1, 2, 4, 8, 113, 226, 452, 904
166 : 1, 2, 83, 166
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 419,466,745,904,166, is 1.
Now, the common factors can be found like this.
419:419
466:2x 233
745:5x 149
904:2x 2x 2x 113
166:2x 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 2 = 4
Therefore, the value for common factors is 4.
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 = 21828944210720/(1x4)
LCM = 21828944210720/4
LCM = 5457236052680
Thus, we can understand that the LCM of 419,466,745,904,166 is 5457236052680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 419, 466, 745, 904, 166
1. What is the LCM of 419, 466, 745, 904, 166?
Answer: LCM of 419, 466, 745, 904, 166 is 5457236052680.
2. How to calculate the LCM of 419, 466, 745, 904, 166?
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 419, 466, 745, 904, 166.
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}.