LCM of 757, 686, 798, 810, 105
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 757, 686, 798, 810, 105 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 757, 686, 798, 810, 105. So, keep reading to learn more.
Given numbers are 757,686,798,810,105
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 757,686,798,810,105 is 3996028890.
Find LCM of 757,686,798,810,105 with Prime Factorization
| 2 | 757, 686, 798, 810, 105 |
| 3 | 757, 343, 399, 405, 105 |
| 5 | 757, 343, 133, 135, 35 |
| 7 | 757, 343, 133, 27, 7 |
| 757, 49, 19, 27, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 757 x 49 x 19 x 27 x 1 = 3996028890
Therefore, the lowest common multiple of 757,686,798,810,105 is 3996028890.
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.
757 x 686 x 798 x 810 x 105 = 35244974809800
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.
757 : 1, 757
686 : 1, 2, 7, 14, 49, 98, 343, 686
798 : 1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
105 : 1, 3, 5, 7, 15, 21, 35, 105
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 757,686,798,810,105, is 1.
Now, the common factors can be found like this.
757:757
686:2x 7x 7x 7
798:2x 3x 7x 19
810:2x 3x 3x 3x 3x 5
105:3x 5x 7
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 3x 3x 5x 7x 7 = 8820
Therefore, the value for common factors is 8820.
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 = 35244974809800/(1x8820)
LCM = 35244974809800/8820
LCM = 3996028890
Thus, we can understand that the LCM of 757,686,798,810,105 is 3996028890.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 757, 686, 798, 810, 105
1. What is the LCM of 757, 686, 798, 810, 105?
Answer: LCM of 757, 686, 798, 810, 105 is 3996028890.
2. How to calculate the LCM of 757, 686, 798, 810, 105?
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 757, 686, 798, 810, 105.
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}.