LCM of 667, 782, 717, 765
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 667, 782, 717, 765 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 667, 782, 717, 765. So, keep reading to learn more.
Given numbers are 667,782,717,765
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 667,782,717,765 is 243901890.
Find LCM of 667,782,717,765 with Prime Factorization
| 3 | 667, 782, 717, 765 |
| 17 | 667, 782, 239, 255 |
| 23 | 667, 46, 239, 15 |
| 29, 2, 239, 15 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 23 x 29 x 2 x 239 x 15 = 243901890
Therefore, the lowest common multiple of 667,782,717,765 is 243901890.
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.
667 x 782 x 717 x 765 = 286096916970
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.
667 : 1, 23, 29, 667
782 : 1, 2, 17, 23, 34, 46, 391, 782
717 : 1, 3, 239, 717
765 : 1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 667,782,717,765, is 1.
Now, the common factors can be found like this.
667:23x 29
782:2x 17x 23
717:3x 239
765:3x 3x 5x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 17x 23 = 1173
Therefore, the value for common factors is 1173.
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 = 286096916970/(1x1173)
LCM = 286096916970/1173
LCM = 243901890
Thus, we can understand that the LCM of 667,782,717,765 is 243901890.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 667, 782, 717, 765
1. What is the LCM of 667, 782, 717, 765?
Answer: LCM of 667, 782, 717, 765 is 243901890.
2. How to calculate the LCM of 667, 782, 717, 765?
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 667, 782, 717, 765.
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}.