LCM of 777, 146, 803, 259, 405
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 777, 146, 803, 259, 405 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, 146, 803, 259, 405. So, keep reading to learn more.
Given numbers are 777,146,803,259,405
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 777,146,803,259,405 is 168461370.
Find LCM of 777,146,803,259,405 with Prime Factorization
| 3 | 777, 146, 803, 259, 405 |
| 7 | 259, 146, 803, 259, 135 |
| 37 | 37, 146, 803, 37, 135 |
| 73 | 1, 146, 803, 1, 135 |
| 1, 2, 11, 1, 135 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 37 x 73 x 1 x 2 x 11 x 1 x 135 = 168461370
Therefore, the lowest common multiple of 777,146,803,259,405 is 168461370.
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 146 x 803 x 259 x 405 = 9555297367770
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
146 : 1, 2, 73, 146
803 : 1, 11, 73, 803
259 : 1, 7, 37, 259
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 777,146,803,259,405, is 1.
Now, the common factors can be found like this.
777:3x 7x 37
146:2x 73
803:11x 73
259:7x 37
405:3x 3x 3x 3x 5
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 37x 73 = 56721
Therefore, the value for common factors is 56721.
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 = 9555297367770/(1x56721)
LCM = 9555297367770/56721
LCM = 168461370
Thus, we can understand that the LCM of 777,146,803,259,405 is 168461370.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 777, 146, 803, 259, 405
1. What is the LCM of 777, 146, 803, 259, 405?
Answer: LCM of 777, 146, 803, 259, 405 is 168461370.
2. How to calculate the LCM of 777, 146, 803, 259, 405?
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, 146, 803, 259, 405.
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}.