LCM of 126, 240, 605, 259
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 126, 240, 605, 259 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 126, 240, 605, 259. So, keep reading to learn more.
Given numbers are 126,240,605,259
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 126,240,605,259 is 22564080.
Find LCM of 126,240,605,259 with Prime Factorization
| 2 | 126, 240, 605, 259 |
| 3 | 63, 120, 605, 259 |
| 5 | 21, 40, 605, 259 |
| 7 | 21, 8, 121, 259 |
| 3, 8, 121, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 7 x 3 x 8 x 121 x 37 = 22564080
Therefore, the lowest common multiple of 126,240,605,259 is 22564080.
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.
126 x 240 x 605 x 259 = 4738456800
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.
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
240 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
605 : 1, 5, 11, 55, 121, 605
259 : 1, 7, 37, 259
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 126,240,605,259, is 1.
Now, the common factors can be found like this.
126:2x 3x 3x 7
240:2x 2x 2x 2x 3x 5
605:5x 11x 11
259:7x 37
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 5x 7 = 210
Therefore, the value for common factors is 210.
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 = 4738456800/(1x210)
LCM = 4738456800/210
LCM = 22564080
Thus, we can understand that the LCM of 126,240,605,259 is 22564080.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 126, 240, 605, 259
1. What is the LCM of 126, 240, 605, 259?
Answer: LCM of 126, 240, 605, 259 is 22564080.
2. How to calculate the LCM of 126, 240, 605, 259?
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 126, 240, 605, 259.
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}.