LCM of 449, 595, 193, 845, 476
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 449, 595, 193, 845, 476 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 449, 595, 193, 845, 476. So, keep reading to learn more.
Given numbers are 449,595,193,845,476
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 449,595,193,845,476 is 34855178540.
Find LCM of 449,595,193,845,476 with Prime Factorization
| 5 | 449, 595, 193, 845, 476 |
| 7 | 449, 119, 193, 169, 476 |
| 17 | 449, 17, 193, 169, 68 |
| 449, 1, 193, 169, 4 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 17 x 449 x 1 x 193 x 169 x 4 = 34855178540
Therefore, the lowest common multiple of 449,595,193,845,476 is 34855178540.
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.
449 x 595 x 193 x 845 x 476 = 20738831231300
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.
449 : 1, 449
595 : 1, 5, 7, 17, 35, 85, 119, 595
193 : 1, 193
845 : 1, 5, 13, 65, 169, 845
476 : 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 449,595,193,845,476, is 1.
Now, the common factors can be found like this.
449:449
595:5x 7x 17
193:193
845:5x 13x 13
476:2x 2x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 17 = 595
Therefore, the value for common factors is 595.
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 = 20738831231300/(1x595)
LCM = 20738831231300/595
LCM = 34855178540
Thus, we can understand that the LCM of 449,595,193,845,476 is 34855178540.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 449, 595, 193, 845, 476
1. What is the LCM of 449, 595, 193, 845, 476?
Answer: LCM of 449, 595, 193, 845, 476 is 34855178540.
2. How to calculate the LCM of 449, 595, 193, 845, 476?
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 449, 595, 193, 845, 476.
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}.