LCM of 471, 986, 897, 305, 782
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 471, 986, 897, 305, 782 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 471, 986, 897, 305, 782. So, keep reading to learn more.
Given numbers are 471,986,897,305,782
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 471,986,897,305,782 is 42351505170.
Find LCM of 471,986,897,305,782 with Prime Factorization
| 2 | 471, 986, 897, 305, 782 |
| 3 | 471, 493, 897, 305, 391 |
| 17 | 157, 493, 299, 305, 391 |
| 23 | 157, 29, 299, 305, 23 |
| 157, 29, 13, 305, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 17 x 23 x 157 x 29 x 13 x 305 x 1 = 42351505170
Therefore, the lowest common multiple of 471,986,897,305,782 is 42351505170.
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.
471 x 986 x 897 x 305 x 782 = 99356631128820
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.
471 : 1, 3, 157, 471
986 : 1, 2, 17, 29, 34, 58, 493, 986
897 : 1, 3, 13, 23, 39, 69, 299, 897
305 : 1, 5, 61, 305
782 : 1, 2, 17, 23, 34, 46, 391, 782
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 471,986,897,305,782, is 1.
Now, the common factors can be found like this.
471:3x 157
986:2x 17x 29
897:3x 13x 23
305:5x 61
782:2x 17x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 17x 23 = 2346
Therefore, the value for common factors is 2346.
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 = 99356631128820/(1x2346)
LCM = 99356631128820/2346
LCM = 42351505170
Thus, we can understand that the LCM of 471,986,897,305,782 is 42351505170.
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FAQs on LCM of 471, 986, 897, 305, 782
1. What is the LCM of 471, 986, 897, 305, 782?
Answer: LCM of 471, 986, 897, 305, 782 is 42351505170.
2. How to calculate the LCM of 471, 986, 897, 305, 782?
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 471, 986, 897, 305, 782.
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}.