Find the LCM of 561, 663, 420, 985 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 561, 663, 420, 985. So, keep reading to learn more.
Given numbers are 561,663,420,985
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 561,663,420,985 is 201140940.
Find LCM of 561,663,420,985 with Prime Factorization
3 | 561, 663, 420, 985 |
5 | 187, 221, 140, 985 |
17 | 187, 221, 28, 197 |
11, 13, 28, 197 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 11 x 13 x 28 x 197 = 201140940
Therefore, the lowest common multiple of 561,663,420,985 is 201140940.
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.
561 x 663 x 420 x 985 = 153872819100
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.
561 : 1, 3, 11, 17, 33, 51, 187, 561
663 : 1, 3, 13, 17, 39, 51, 221, 663
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
985 : 1, 5, 197, 985
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 561,663,420,985, is 1.
Now, the common factors can be found like this.
561:3x 11x 17
663:3x 13x 17
420:2x 2x 3x 5x 7
985:5x 197
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 5x 17 = 765
Therefore, the value for common factors is 765.
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 = 153872819100/(1x765)
LCM = 153872819100/765
LCM = 201140940
Thus, we can understand that the LCM of 561,663,420,985 is 201140940.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 561, 663, 420, 985?
Answer: LCM of 561, 663, 420, 985 is 201140940.
2. How to calculate the LCM of 561, 663, 420, 985?
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 561, 663, 420, 985.
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}.