Find the LCM of 253, 847, 904, 297, 601 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 253, 847, 904, 297, 601. So, keep reading to learn more.
Given numbers are 253,847,904,297,601
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,847,904,297,601 is 285770841048.
Find LCM of 253,847,904,297,601 with Prime Factorization
11 | 253, 847, 904, 297, 601 |
23, 77, 904, 27, 601 |
Multiply the prime numbers at the bottom and the left side.
11 x 23 x 77 x 904 x 27 x 601 = 285770841048
Therefore, the lowest common multiple of 253,847,904,297,601 is 285770841048.
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.
253 x 847 x 904 x 297 x 601 = 34578271766808
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.
253 : 1, 11, 23, 253
847 : 1, 7, 11, 77, 121, 847
904 : 1, 2, 4, 8, 113, 226, 452, 904
297 : 1, 3, 9, 11, 27, 33, 99, 297
601 : 1, 601
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,847,904,297,601, is 1.
Now, the common factors can be found like this.
253:11x 23
847:7x 11x 11
904:2x 2x 2x 113
297:3x 3x 3x 11
601:601
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 11 = 121
Therefore, the value for common factors is 121.
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 = 34578271766808/(1x121)
LCM = 34578271766808/121
LCM = 285770841048
Thus, we can understand that the LCM of 253,847,904,297,601 is 285770841048.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 253, 847, 904, 297, 601?
Answer: LCM of 253, 847, 904, 297, 601 is 285770841048.
2. How to calculate the LCM of 253, 847, 904, 297, 601?
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 253, 847, 904, 297, 601.
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}.