LCM of 493, 488, 898, 770, 770
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 493, 488, 898, 770, 770 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 493, 488, 898, 770, 770. So, keep reading to learn more.
Given numbers are 493,488,898,770,770
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 493,488,898,770,770 is 41588553160.
Find LCM of 493,488,898,770,770 with Prime Factorization
| 2 | 493, 488, 898, 770, 770 |
| 5 | 493, 244, 449, 385, 385 |
| 7 | 493, 244, 449, 77, 77 |
| 11 | 493, 244, 449, 11, 11 |
| 493, 244, 449, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 493 x 244 x 449 x 1 x 1 = 41588553160
Therefore, the lowest common multiple of 493,488,898,770,770 is 41588553160.
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.
493 x 488 x 898 x 770 x 770 = 128092743732800
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.
493 : 1, 17, 29, 493
488 : 1, 2, 4, 8, 61, 122, 244, 488
898 : 1, 2, 449, 898
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,488,898,770,770, is 1.
Now, the common factors can be found like this.
493:17x 29
488:2x 2x 2x 61
898:2x 449
770:2x 5x 7x 11
770:2x 5x 7x 11
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 5x 7x 11 = 3080
Therefore, the value for common factors is 3080.
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 = 128092743732800/(1x3080)
LCM = 128092743732800/3080
LCM = 41588553160
Thus, we can understand that the LCM of 493,488,898,770,770 is 41588553160.
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FAQs on LCM of 493, 488, 898, 770, 770
1. What is the LCM of 493, 488, 898, 770, 770?
Answer: LCM of 493, 488, 898, 770, 770 is 41588553160.
2. How to calculate the LCM of 493, 488, 898, 770, 770?
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 493, 488, 898, 770, 770.
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}.