LCM of 595, 392, 488, 574, 229
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 595, 392, 488, 574, 229 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 595, 392, 488, 574, 229. So, keep reading to learn more.
Given numbers are 595,392,488,574,229
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 595,392,488,574,229 is 19083330280.
Find LCM of 595,392,488,574,229 with Prime Factorization
| 2 | 595, 392, 488, 574, 229 |
| 2 | 595, 196, 244, 287, 229 |
| 2 | 595, 98, 122, 287, 229 |
| 7 | 595, 49, 61, 287, 229 |
| 85, 7, 61, 41, 229 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 85 x 7 x 61 x 41 x 229 = 19083330280
Therefore, the lowest common multiple of 595,392,488,574,229 is 19083330280.
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.
595 x 392 x 488 x 574 x 229 = 14961330939520
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.
595 : 1, 5, 7, 17, 35, 85, 119, 595
392 : 1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392
488 : 1, 2, 4, 8, 61, 122, 244, 488
574 : 1, 2, 7, 14, 41, 82, 287, 574
229 : 1, 229
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 595,392,488,574,229, is 1.
Now, the common factors can be found like this.
595:5x 7x 17
392:2x 2x 2x 7x 7
488:2x 2x 2x 61
574:2x 7x 41
229:229
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 7x 7 = 784
Therefore, the value for common factors is 784.
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 = 14961330939520/(1x784)
LCM = 14961330939520/784
LCM = 19083330280
Thus, we can understand that the LCM of 595,392,488,574,229 is 19083330280.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 595, 392, 488, 574, 229
1. What is the LCM of 595, 392, 488, 574, 229?
Answer: LCM of 595, 392, 488, 574, 229 is 19083330280.
2. How to calculate the LCM of 595, 392, 488, 574, 229?
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 595, 392, 488, 574, 229.
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}.