Find the LCM of 567, 836, 987, 935, 203 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, 836, 987, 935, 203. So, keep reading to learn more.
Given numbers are 567,836,987,935,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,836,987,935,203 is 54916660260.
Find LCM of 567,836,987,935,203 with Prime Factorization
3 | 567, 836, 987, 935, 203 |
7 | 189, 836, 329, 935, 203 |
11 | 27, 836, 47, 935, 29 |
27, 76, 47, 85, 29 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 11 x 27 x 76 x 47 x 85 x 29 = 54916660260
Therefore, the lowest common multiple of 567,836,987,935,203 is 54916660260.
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 836 x 987 x 935 x 203 = 88800239640420
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
836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
987 : 1, 3, 7, 21, 47, 141, 329, 987
935 : 1, 5, 11, 17, 55, 85, 187, 935
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,836,987,935,203, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
836:2x 2x 11x 19
987:3x 7x 47
935:5x 11x 17
203:7x 29
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 7x 7x 11 = 1617
Therefore, the value for common factors is 1617.
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 = 88800239640420/(1x1617)
LCM = 88800239640420/1617
LCM = 54916660260
Thus, we can understand that the LCM of 567,836,987,935,203 is 54916660260.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 567, 836, 987, 935, 203?
Answer: LCM of 567, 836, 987, 935, 203 is 54916660260.
2. How to calculate the LCM of 567, 836, 987, 935, 203?
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, 836, 987, 935, 203.
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}.