Find the LCM of 381, 561, 420, 695, 556 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 381, 561, 420, 695, 556. So, keep reading to learn more.
Given numbers are 381,561,420,695,556
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 381,561,420,695,556 is 1386466620.
Find LCM of 381,561,420,695,556 with Prime Factorization
2 | 381, 561, 420, 695, 556 |
2 | 381, 561, 210, 695, 278 |
3 | 381, 561, 105, 695, 139 |
5 | 127, 187, 35, 695, 139 |
139 | 127, 187, 7, 139, 139 |
127, 187, 7, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 139 x 127 x 187 x 7 x 1 x 1 = 1386466620
Therefore, the lowest common multiple of 381,561,420,695,556 is 1386466620.
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.
381 x 561 x 420 x 695 x 556 = 34689394832400
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.
381 : 1, 3, 127, 381
561 : 1, 3, 11, 17, 33, 51, 187, 561
420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
695 : 1, 5, 139, 695
556 : 1, 2, 4, 139, 278, 556
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 381,561,420,695,556, is 1.
Now, the common factors can be found like this.
381:3x 127
561:3x 11x 17
420:2x 2x 3x 5x 7
695:5x 139
556:2x 2x 139
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 3x 3x 5x 139 = 25020
Therefore, the value for common factors is 25020.
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 = 34689394832400/(1x25020)
LCM = 34689394832400/25020
LCM = 1386466620
Thus, we can understand that the LCM of 381,561,420,695,556 is 1386466620.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 381, 561, 420, 695, 556?
Answer: LCM of 381, 561, 420, 695, 556 is 1386466620.
2. How to calculate the LCM of 381, 561, 420, 695, 556?
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 381, 561, 420, 695, 556.
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}.