LCM of 146, 872, 668, 872
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 146, 872, 668, 872 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 146, 872, 668, 872. So, keep reading to learn more.
Given numbers are 146,872,668,872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 146,872,668,872 is 10630552.
Find LCM of 146,872,668,872 with Prime Factorization
| 2 | 146, 872, 668, 872 |
| 2 | 73, 436, 334, 436 |
| 2 | 73, 218, 167, 218 |
| 109 | 73, 109, 167, 109 |
| 73, 1, 167, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 109 x 73 x 1 x 167 x 1 = 10630552
Therefore, the lowest common multiple of 146,872,668,872 is 10630552.
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.
146 x 872 x 668 x 872 = 74158730752
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.
146 : 1, 2, 73, 146
872 : 1, 2, 4, 8, 109, 218, 436, 872
668 : 1, 2, 4, 167, 334, 668
872 : 1, 2, 4, 8, 109, 218, 436, 872
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 146,872,668,872, is 2.
Now, the common factors can be found like this.
146:2x 73
872:2x 2x 2x 109
668:2x 2x 167
872:2x 2x 2x 109
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 109 = 3488
Therefore, the value for common factors is 3488.
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 = 74158730752/(2x3488)
LCM = 74158730752/6976
LCM = 10630552
Thus, we can understand that the LCM of 146,872,668,872 is 10630552.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 146, 872, 668, 872
1. What is the LCM of 146, 872, 668, 872?
Answer: LCM of 146, 872, 668, 872 is 10630552.
2. How to calculate the LCM of 146, 872, 668, 872?
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 146, 872, 668, 872.
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}.