Find the LCM of 253, 721, 897, 385 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, 721, 897, 385. So, keep reading to learn more.
Given numbers are 253,721,897,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 253,721,897,385 is 35570535.
Find LCM of 253,721,897,385 with Prime Factorization
7 | 253, 721, 897, 385 |
11 | 253, 103, 897, 55 |
23 | 23, 103, 897, 5 |
1, 103, 39, 5 |
Multiply the prime numbers at the bottom and the left side.
7 x 11 x 23 x 1 x 103 x 39 x 5 = 35570535
Therefore, the lowest common multiple of 253,721,897,385 is 35570535.
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 721 x 897 x 385 = 62995417485
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
721 : 1, 7, 103, 721
897 : 1, 3, 13, 23, 39, 69, 299, 897
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 253,721,897,385, is 1.
Now, the common factors can be found like this.
253:11x 23
721:7x 103
897:3x 13x 23
385:5x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 11x 23 = 1771
Therefore, the value for common factors is 1771.
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 = 62995417485/(1x1771)
LCM = 62995417485/1771
LCM = 35570535
Thus, we can understand that the LCM of 253,721,897,385 is 35570535.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 253, 721, 897, 385?
Answer: LCM of 253, 721, 897, 385 is 35570535.
2. How to calculate the LCM of 253, 721, 897, 385?
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, 721, 897, 385.
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}.