LCM of 777, 210, 240, 715, 511
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 777, 210, 240, 715, 511 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 777, 210, 240, 715, 511. So, keep reading to learn more.
Given numbers are 777,210,240,715,511
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 777,210,240,715,511 is 648888240.
Find LCM of 777,210,240,715,511 with Prime Factorization
| 2 | 777, 210, 240, 715, 511 |
| 3 | 777, 105, 120, 715, 511 |
| 5 | 259, 35, 40, 715, 511 |
| 7 | 259, 7, 8, 143, 511 |
| 37, 1, 8, 143, 73 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 37 x 1 x 8 x 143 x 73 = 648888240
Therefore, the lowest common multiple of 777,210,240,715,511 is 648888240.
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.
777 x 210 x 240 x 715 x 511 = 14307985692000
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.
777 : 1, 3, 7, 21, 37, 111, 259, 777
210 : 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
715 : 1, 5, 11, 13, 55, 65, 143, 715
511 : 1, 7, 73, 511
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,210,240,715,511, is 1.
Now, the common factors can be found like this.
777:3x 7x 37
210:2x 3x 5x 7
240:2x 2x 2x 2x 3x 5
715:5x 11x 13
511:7x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 5x 5x 7x 7 = 22050
Therefore, the value for common factors is 22050.
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 = 14307985692000/(1x22050)
LCM = 14307985692000/22050
LCM = 648888240
Thus, we can understand that the LCM of 777,210,240,715,511 is 648888240.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 777, 210, 240, 715, 511
1. What is the LCM of 777, 210, 240, 715, 511?
Answer: LCM of 777, 210, 240, 715, 511 is 648888240.
2. How to calculate the LCM of 777, 210, 240, 715, 511?
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 777, 210, 240, 715, 511.
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}.