LCM of 511, 448, 341, 652, 727
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 511, 448, 341, 652, 727 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 511, 448, 341, 652, 727. So, keep reading to learn more.
Given numbers are 511,448,341,652,727
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 511,448,341,652,727 is 1321530736064.
Find LCM of 511,448,341,652,727 with Prime Factorization
| 2 | 511, 448, 341, 652, 727 |
| 2 | 511, 224, 341, 326, 727 |
| 7 | 511, 112, 341, 163, 727 |
| 73, 16, 341, 163, 727 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 73 x 16 x 341 x 163 x 727 = 1321530736064
Therefore, the lowest common multiple of 511,448,341,652,727 is 1321530736064.
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.
511 x 448 x 341 x 652 x 727 = 37002860609792
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.
511 : 1, 7, 73, 511
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
341 : 1, 11, 31, 341
652 : 1, 2, 4, 163, 326, 652
727 : 1, 727
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 511,448,341,652,727, is 1.
Now, the common factors can be found like this.
511:7x 73
448:2x 2x 2x 2x 2x 2x 7
341:11x 31
652:2x 2x 163
727:727
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 7 = 28
Therefore, the value for common factors is 28.
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 = 37002860609792/(1x28)
LCM = 37002860609792/28
LCM = 1321530736064
Thus, we can understand that the LCM of 511,448,341,652,727 is 1321530736064.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 511, 448, 341, 652, 727
1. What is the LCM of 511, 448, 341, 652, 727?
Answer: LCM of 511, 448, 341, 652, 727 is 1321530736064.
2. How to calculate the LCM of 511, 448, 341, 652, 727?
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 511, 448, 341, 652, 727.
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}.