LCM of 847, 782, 874, 713, 266
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 847, 782, 874, 713, 266 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 847, 782, 874, 713, 266. So, keep reading to learn more.
Given numbers are 847,782,874,713,266
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 847,782,874,713,266 is 390126506.
Find LCM of 847,782,874,713,266 with Prime Factorization
| 2 | 847, 782, 874, 713, 266 |
| 7 | 847, 391, 437, 713, 133 |
| 19 | 121, 391, 437, 713, 19 |
| 23 | 121, 391, 23, 713, 1 |
| 121, 17, 1, 31, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 19 x 23 x 121 x 17 x 1 x 31 x 1 = 390126506
Therefore, the lowest common multiple of 847,782,874,713,266 is 390126506.
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.
847 x 782 x 874 x 713 x 266 = 109792522330568
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.
847 : 1, 7, 11, 77, 121, 847
782 : 1, 2, 17, 23, 34, 46, 391, 782
874 : 1, 2, 19, 23, 38, 46, 437, 874
713 : 1, 23, 31, 713
266 : 1, 2, 7, 14, 19, 38, 133, 266
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,782,874,713,266, is 1.
Now, the common factors can be found like this.
847:7x 11x 11
782:2x 17x 23
874:2x 19x 23
713:23x 31
266:2x 7x 19
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 7x 19x 23x 23 = 281428
Therefore, the value for common factors is 281428.
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 = 109792522330568/(1x281428)
LCM = 109792522330568/281428
LCM = 390126506
Thus, we can understand that the LCM of 847,782,874,713,266 is 390126506.
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FAQs on LCM of 847, 782, 874, 713, 266
1. What is the LCM of 847, 782, 874, 713, 266?
Answer: LCM of 847, 782, 874, 713, 266 is 390126506.
2. How to calculate the LCM of 847, 782, 874, 713, 266?
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 847, 782, 874, 713, 266.
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}.