Find the LCM of 393, 101, 505, 644 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 393, 101, 505, 644. So, keep reading to learn more.
Given numbers are 393,101,505,644
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 393,101,505,644 is 127811460.
Find LCM of 393,101,505,644 with Prime Factorization
101 | 393, 101, 505, 644 |
393, 1, 5, 644 |
Multiply the prime numbers at the bottom and the left side.
101 x 393 x 1 x 5 x 644 = 127811460
Therefore, the lowest common multiple of 393,101,505,644 is 127811460.
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.
393 x 101 x 505 x 644 = 12908957460
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.
393 : 1, 3, 131, 393
101 : 1, 101
505 : 1, 5, 101, 505
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 393,101,505,644, is 1.
Now, the common factors can be found like this.
393:3x 131
101:101
505:5x 101
644:2x 2x 7x 23
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 = 12908957460/(1x101)
LCM = 12908957460/101
LCM = 127811460
Thus, we can understand that the LCM of 393,101,505,644 is 127811460.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 393, 101, 505, 644?
Answer: LCM of 393, 101, 505, 644 is 127811460.
2. How to calculate the LCM of 393, 101, 505, 644?
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 393, 101, 505, 644.
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}.