Find the LCM of 567, 903, 752, 228, 832 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, 903, 752, 228, 832. So, keep reading to learn more.
Given numbers are 567,903,752,228,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 567,903,752,228,832 is 18114497856.
Find LCM of 567,903,752,228,832 with Prime Factorization
2 | 567, 903, 752, 228, 832 |
2 | 567, 903, 376, 114, 416 |
2 | 567, 903, 188, 57, 208 |
2 | 567, 903, 94, 57, 104 |
3 | 567, 903, 47, 57, 52 |
7 | 189, 301, 47, 19, 52 |
27, 43, 47, 19, 52 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 7 x 27 x 43 x 47 x 19 x 52 = 18114497856
Therefore, the lowest common multiple of 567,903,752,228,832 is 18114497856.
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 903 x 752 x 228 x 832 = 73037655355392
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
903 : 1, 3, 7, 21, 43, 129, 301, 903
752 : 1, 2, 4, 8, 16, 47, 94, 188, 376, 752
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 567,903,752,228,832, is 1.
Now, the common factors can be found like this.
567:3x 3x 3x 3x 7
903:3x 7x 43
752:2x 2x 2x 2x 47
228:2x 2x 3x 19
832:2x 2x 2x 2x 2x 2x 13
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 2x 2x 2x 2x 3x 3x 7 = 4032
Therefore, the value for common factors is 4032.
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 = 73037655355392/(1x4032)
LCM = 73037655355392/4032
LCM = 18114497856
Thus, we can understand that the LCM of 567,903,752,228,832 is 18114497856.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 567, 903, 752, 228, 832?
Answer: LCM of 567, 903, 752, 228, 832 is 18114497856.
2. How to calculate the LCM of 567, 903, 752, 228, 832?
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, 903, 752, 228, 832.
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}.