LCM of 558, 162, 114, 646
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 558, 162, 114, 646 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 558, 162, 114, 646. So, keep reading to learn more.
Given numbers are 558,162,114,646
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 558,162,114,646 is 1622106.
Find LCM of 558,162,114,646 with Prime Factorization
| 2 | 558, 162, 114, 646 |
| 3 | 279, 81, 57, 323 |
| 3 | 93, 27, 19, 323 |
| 19 | 31, 9, 19, 323 |
| 31, 9, 1, 17 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 19 x 31 x 9 x 1 x 17 = 1622106
Therefore, the lowest common multiple of 558,162,114,646 is 1622106.
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.
558 x 162 x 114 x 646 = 6657123024
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.
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
162 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162
114 : 1, 2, 3, 6, 19, 38, 57, 114
646 : 1, 2, 17, 19, 34, 38, 323, 646
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 558,162,114,646, is 2.
Now, the common factors can be found like this.
558:2x 3x 3x 31
162:2x 3x 3x 3x 3
114:2x 3x 19
646:2x 17x 19
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 3x 3x 3x 19 = 2052
Therefore, the value for common factors is 2052.
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 = 6657123024/(2x2052)
LCM = 6657123024/4104
LCM = 1622106
Thus, we can understand that the LCM of 558,162,114,646 is 1622106.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 558, 162, 114, 646
1. What is the LCM of 558, 162, 114, 646?
Answer: LCM of 558, 162, 114, 646 is 1622106.
2. How to calculate the LCM of 558, 162, 114, 646?
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 558, 162, 114, 646.
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}.