LCM of 266, 782, 755, 697
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 266, 782, 755, 697 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 266, 782, 755, 697. So, keep reading to learn more.
Given numbers are 266,782,755,697
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 266,782,755,697 is 3219505730.
Find LCM of 266,782,755,697 with Prime Factorization
| 2 | 266, 782, 755, 697 |
| 17 | 133, 391, 755, 697 |
| 133, 23, 755, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 17 x 133 x 23 x 755 x 41 = 3219505730
Therefore, the lowest common multiple of 266,782,755,697 is 3219505730.
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.
266 x 782 x 755 x 697 = 109463194820
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.
266 : 1, 2, 7, 14, 19, 38, 133, 266
782 : 1, 2, 17, 23, 34, 46, 391, 782
755 : 1, 5, 151, 755
697 : 1, 17, 41, 697
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 266,782,755,697, is 1.
Now, the common factors can be found like this.
266:2x 7x 19
782:2x 17x 23
755:5x 151
697:17x 41
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 17 = 34
Therefore, the value for common factors is 34.
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 = 109463194820/(1x34)
LCM = 109463194820/34
LCM = 3219505730
Thus, we can understand that the LCM of 266,782,755,697 is 3219505730.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 266, 782, 755, 697
1. What is the LCM of 266, 782, 755, 697?
Answer: LCM of 266, 782, 755, 697 is 3219505730.
2. How to calculate the LCM of 266, 782, 755, 697?
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 266, 782, 755, 697.
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}.