LCM of 494, 778, 866, 266
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 494, 778, 866, 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 494, 778, 866, 266. So, keep reading to learn more.
Given numbers are 494,778,866,266
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 494,778,866,266 is 582455146.
Find LCM of 494,778,866,266 with Prime Factorization
| 2 | 494, 778, 866, 266 |
| 19 | 247, 389, 433, 133 |
| 13, 389, 433, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 13 x 389 x 433 x 7 = 582455146
Therefore, the lowest common multiple of 494,778,866,266 is 582455146.
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.
494 x 778 x 866 x 266 = 88533182192
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.
494 : 1, 2, 13, 19, 26, 38, 247, 494
778 : 1, 2, 389, 778
866 : 1, 2, 433, 866
266 : 1, 2, 7, 14, 19, 38, 133, 266
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,778,866,266, is 2.
Now, the common factors can be found like this.
494:2x 13x 19
778:2x 389
866:2x 433
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 19 = 76
Therefore, the value for common factors is 76.
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 = 88533182192/(2x76)
LCM = 88533182192/152
LCM = 582455146
Thus, we can understand that the LCM of 494,778,866,266 is 582455146.
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FAQs on LCM of 494, 778, 866, 266
1. What is the LCM of 494, 778, 866, 266?
Answer: LCM of 494, 778, 866, 266 is 582455146.
2. How to calculate the LCM of 494, 778, 866, 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 494, 778, 866, 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}.