LCM of 448, 722, 567, 304, 197
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 448, 722, 567, 304, 197 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 448, 722, 567, 304, 197. So, keep reading to learn more.
Given numbers are 448,722,567,304,197
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 448,722,567,304,197 is 2580693696.
Find LCM of 448,722,567,304,197 with Prime Factorization
| 2 | 448, 722, 567, 304, 197 |
| 2 | 224, 361, 567, 152, 197 |
| 2 | 112, 361, 567, 76, 197 |
| 2 | 56, 361, 567, 38, 197 |
| 7 | 28, 361, 567, 19, 197 |
| 19 | 4, 361, 81, 19, 197 |
| 4, 1, 81, 19, 197 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 7 x 19 x 4 x 1 x 81 x 19 x 197 = 2580693696
Therefore, the lowest common multiple of 448,722,567,304,197 is 2580693696.
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.
448 x 722 x 567 x 304 x 197 = 10983432370176
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.
448 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
722 : 1, 2, 19, 38, 361, 722
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
197 : 1, 197
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 448,722,567,304,197, is 1.
Now, the common factors can be found like this.
448:2x 2x 2x 2x 2x 2x 7
722:2x 19x 19
567:3x 3x 3x 3x 7
304:2x 2x 2x 2x 19
197:197
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 2x 2x 7x 19 = 4256
Therefore, the value for common factors is 4256.
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 = 10983432370176/(1x4256)
LCM = 10983432370176/4256
LCM = 2580693696
Thus, we can understand that the LCM of 448,722,567,304,197 is 2580693696.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 448, 722, 567, 304, 197
1. What is the LCM of 448, 722, 567, 304, 197?
Answer: LCM of 448, 722, 567, 304, 197 is 2580693696.
2. How to calculate the LCM of 448, 722, 567, 304, 197?
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 448, 722, 567, 304, 197.
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}.