Find the LCM of 382, 101, 897, 505 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 382, 101, 897, 505. So, keep reading to learn more.
Given numbers are 382,101,897,505
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,101,897,505 is 173040270.
Find LCM of 382,101,897,505 with Prime Factorization
101 | 382, 101, 897, 505 |
382, 1, 897, 5 |
Multiply the prime numbers at the bottom and the left side.
101 x 382 x 1 x 897 x 5 = 173040270
Therefore, the lowest common multiple of 382,101,897,505 is 173040270.
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.
382 x 101 x 897 x 505 = 17477067270
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.
382 : 1, 2, 191, 382
101 : 1, 101
897 : 1, 3, 13, 23, 39, 69, 299, 897
505 : 1, 5, 101, 505
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,101,897,505, is 1.
Now, the common factors can be found like this.
382:2x 191
101:101
897:3x 13x 23
505:5x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
101 = 101
Therefore, the value for common factors is 101.
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 = 17477067270/(1x101)
LCM = 17477067270/101
LCM = 173040270
Thus, we can understand that the LCM of 382,101,897,505 is 173040270.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 382, 101, 897, 505?
Answer: LCM of 382, 101, 897, 505 is 173040270.
2. How to calculate the LCM of 382, 101, 897, 505?
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 382, 101, 897, 505.
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}.