LCM of 668, 304, 218, 649, 112
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 668, 304, 218, 649, 112 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, 304, 218, 649, 112. So, keep reading to learn more.
Given numbers are 668,304,218,649,112
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 668,304,218,649,112 is 25139653616.
Find LCM of 668,304,218,649,112 with Prime Factorization
| 2 | 668, 304, 218, 649, 112 |
| 2 | 334, 152, 109, 649, 56 |
| 2 | 167, 76, 109, 649, 28 |
| 2 | 167, 38, 109, 649, 14 |
| 167, 19, 109, 649, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 167 x 19 x 109 x 649 x 7 = 25139653616
Therefore, the lowest common multiple of 668,304,218,649,112 is 25139653616.
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 304 x 218 x 649 x 112 = 3217875662848
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
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
218 : 1, 2, 109, 218
649 : 1, 11, 59, 649
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 668,304,218,649,112, is 1.
Now, the common factors can be found like this.
668:2x 2x 167
304:2x 2x 2x 2x 19
218:2x 109
649:11x 59
112:2x 2x 2x 2x 7
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 2 = 128
Therefore, the value for common factors is 128.
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 = 3217875662848/(1x128)
LCM = 3217875662848/128
LCM = 25139653616
Thus, we can understand that the LCM of 668,304,218,649,112 is 25139653616.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 668, 304, 218, 649, 112
1. What is the LCM of 668, 304, 218, 649, 112?
Answer: LCM of 668, 304, 218, 649, 112 is 25139653616.
2. How to calculate the LCM of 668, 304, 218, 649, 112?
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, 304, 218, 649, 112.
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}.