LCM of 677, 730, 146, 899, 605
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 677, 730, 146, 899, 605 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 677, 730, 146, 899, 605. So, keep reading to learn more.
Given numbers are 677,730,146,899,605
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 677,730,146,899,605 is 53759669590.
Find LCM of 677,730,146,899,605 with Prime Factorization
| 2 | 677, 730, 146, 899, 605 |
| 5 | 677, 365, 73, 899, 605 |
| 73 | 677, 73, 73, 899, 121 |
| 677, 1, 1, 899, 121 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 73 x 677 x 1 x 1 x 899 x 121 = 53759669590
Therefore, the lowest common multiple of 677,730,146,899,605 is 53759669590.
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.
677 x 730 x 146 x 899 x 605 = 39244558800700
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.
677 : 1, 677
730 : 1, 2, 5, 10, 73, 146, 365, 730
146 : 1, 2, 73, 146
899 : 1, 29, 31, 899
605 : 1, 5, 11, 55, 121, 605
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 677,730,146,899,605, is 1.
Now, the common factors can be found like this.
677:677
730:2x 5x 73
146:2x 73
899:29x 31
605:5x 11x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 73 = 730
Therefore, the value for common factors is 730.
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 = 39244558800700/(1x730)
LCM = 39244558800700/730
LCM = 53759669590
Thus, we can understand that the LCM of 677,730,146,899,605 is 53759669590.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 677, 730, 146, 899, 605
1. What is the LCM of 677, 730, 146, 899, 605?
Answer: LCM of 677, 730, 146, 899, 605 is 53759669590.
2. How to calculate the LCM of 677, 730, 146, 899, 605?
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 677, 730, 146, 899, 605.
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}.