Find the LCM of 567, 338, 211, 866, 570 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 567, 338, 211, 866, 570. So, keep reading to learn more.
Given numbers are 567,338,211,866,570
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,338,211,866,570 is 1663388582310.
Find LCM of 567,338,211,866,570 with Prime Factorization
2 | 567, 338, 211, 866, 570 |
3 | 567, 169, 211, 433, 285 |
189, 169, 211, 433, 95 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 189 x 169 x 211 x 433 x 95 = 1663388582310
Therefore, the lowest common multiple of 567,338,211,866,570 is 1663388582310.
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.
567 x 338 x 211 x 866 x 570 = 19960662987720
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.
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
338 : 1, 2, 13, 26, 169, 338
211 : 1, 211
866 : 1, 2, 433, 866
570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,338,211,866,570, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
338:2x 13x 13
211:211
866:2x 433
570:2x 3x 5x 19
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 3 = 12
Therefore, the value for common factors is 12.
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 = 19960662987720/(1x12)
LCM = 19960662987720/12
LCM = 1663388582310
Thus, we can understand that the LCM of 567,338,211,866,570 is 1663388582310.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 567, 338, 211, 866, 570?
Answer: LCM of 567, 338, 211, 866, 570 is 1663388582310.
2. How to calculate the LCM of 567, 338, 211, 866, 570?
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 567, 338, 211, 866, 570.
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}.