Find the LCM of 56, 49, 33, 66, 559 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 56, 49, 33, 66, 559. So, keep reading to learn more.
Given numbers are 56,49,33,66,559
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 56,49,33,66,559 is 7231224.
Find LCM of 56,49,33,66,559 with Prime Factorization
2 | 56, 49, 33, 66, 559 |
3 | 28, 49, 33, 33, 559 |
7 | 28, 49, 11, 11, 559 |
11 | 4, 7, 11, 11, 559 |
4, 7, 1, 1, 559 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 4 x 7 x 1 x 1 x 559 = 7231224
Therefore, the lowest common multiple of 56,49,33,66,559 is 7231224.
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.
56 x 49 x 33 x 66 x 559 = 3340825488
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.
56 : 1, 2, 4, 7, 8, 14, 28, 56
49 : 1, 7, 49
33 : 1, 3, 11, 33
66 : 1, 2, 3, 6, 11, 22, 33, 66
559 : 1, 13, 43, 559
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 56,49,33,66,559, is 1.
Now, the common factors can be found like this.
56:2x 2x 2x 7
49:7x 7
33:3x 11
66:2x 3x 11
559:13x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 11 = 462
Therefore, the value for common factors is 462.
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 = 3340825488/(1x462)
LCM = 3340825488/462
LCM = 7231224
Thus, we can understand that the LCM of 56,49,33,66,559 is 7231224.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 56, 49, 33, 66, 559?
Answer: LCM of 56, 49, 33, 66, 559 is 7231224.
2. How to calculate the LCM of 56, 49, 33, 66, 559?
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 56, 49, 33, 66, 559.
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}.