LCM of 260, 382, 705, 264, 441
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 260, 382, 705, 264, 441 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 260, 382, 705, 264, 441. So, keep reading to learn more.
Given numbers are 260,382,705,264,441
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 260,382,705,264,441 is 22644662040.
Find LCM of 260,382,705,264,441 with Prime Factorization
| 2 | 260, 382, 705, 264, 441 |
| 2 | 130, 191, 705, 132, 441 |
| 3 | 65, 191, 705, 66, 441 |
| 5 | 65, 191, 235, 22, 147 |
| 13, 191, 47, 22, 147 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 13 x 191 x 47 x 22 x 147 = 22644662040
Therefore, the lowest common multiple of 260,382,705,264,441 is 22644662040.
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.
260 x 382 x 705 x 264 x 441 = 8152078334400
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.
260 : 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
382 : 1, 2, 191, 382
705 : 1, 3, 5, 15, 47, 141, 235, 705
264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
441 : 1, 3, 7, 9, 21, 49, 63, 147, 441
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 260,382,705,264,441, is 1.
Now, the common factors can be found like this.
260:2x 2x 5x 13
382:2x 191
705:3x 5x 47
264:2x 2x 2x 3x 11
441:3x 3x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 8152078334400/(1x360)
LCM = 8152078334400/360
LCM = 22644662040
Thus, we can understand that the LCM of 260,382,705,264,441 is 22644662040.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 260, 382, 705, 264, 441
1. What is the LCM of 260, 382, 705, 264, 441?
Answer: LCM of 260, 382, 705, 264, 441 is 22644662040.
2. How to calculate the LCM of 260, 382, 705, 264, 441?
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 260, 382, 705, 264, 441.
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}.