Find the LCM of 668, 936, 628, 989, 208 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 668, 936, 628, 989, 208. So, keep reading to learn more.
Given numbers are 668,936,628,989,208
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,936,628,989,208 is 48542066352.
Find LCM of 668,936,628,989,208 with Prime Factorization
2 | 668, 936, 628, 989, 208 |
2 | 334, 468, 314, 989, 104 |
2 | 167, 234, 157, 989, 52 |
13 | 167, 117, 157, 989, 26 |
167, 9, 157, 989, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 13 x 167 x 9 x 157 x 989 x 2 = 48542066352
Therefore, the lowest common multiple of 668,936,628,989,208 is 48542066352.
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.
668 x 936 x 628 x 989 x 208 = 80773998409728
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.
668 : 1, 2, 4, 167, 334, 668
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
628 : 1, 2, 4, 157, 314, 628
989 : 1, 23, 43, 989
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,936,628,989,208, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
936:2x 2x 2x 3x 3x 13
628:2x 2x 157
989:23x 43
208:2x 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 2x 13 = 1664
Therefore, the value for common factors is 1664.
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 = 80773998409728/(1x1664)
LCM = 80773998409728/1664
LCM = 48542066352
Thus, we can understand that the LCM of 668,936,628,989,208 is 48542066352.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 668, 936, 628, 989, 208?
Answer: LCM of 668, 936, 628, 989, 208 is 48542066352.
2. How to calculate the LCM of 668, 936, 628, 989, 208?
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 668, 936, 628, 989, 208.
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}.