LCM of 721, 605, 309, 900
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 721, 605, 309, 900 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 721, 605, 309, 900. So, keep reading to learn more.
Given numbers are 721,605,309,900
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 721,605,309,900 is 78516900.
Find LCM of 721,605,309,900 with Prime Factorization
| 3 | 721, 605, 309, 900 |
| 5 | 721, 605, 103, 300 |
| 103 | 721, 121, 103, 60 |
| 7, 121, 1, 60 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 103 x 7 x 121 x 1 x 60 = 78516900
Therefore, the lowest common multiple of 721,605,309,900 is 78516900.
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.
721 x 605 x 309 x 900 = 121308610500
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.
721 : 1, 7, 103, 721
605 : 1, 5, 11, 55, 121, 605
309 : 1, 3, 103, 309
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 721,605,309,900, is 1.
Now, the common factors can be found like this.
721:7x 103
605:5x 11x 11
309:3x 103
900:2x 2x 3x 3x 5x 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 5x 103 = 1545
Therefore, the value for common factors is 1545.
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 = 121308610500/(1x1545)
LCM = 121308610500/1545
LCM = 78516900
Thus, we can understand that the LCM of 721,605,309,900 is 78516900.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 721, 605, 309, 900
1. What is the LCM of 721, 605, 309, 900?
Answer: LCM of 721, 605, 309, 900 is 78516900.
2. How to calculate the LCM of 721, 605, 309, 900?
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 721, 605, 309, 900.
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}.