LCM of 644, 356, 466, 258, 203
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 644, 356, 466, 258, 203 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 644, 356, 466, 258, 203. So, keep reading to learn more.
Given numbers are 644,356,466,258,203
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 644,356,466,258,203 is 49959663348.
Find LCM of 644,356,466,258,203 with Prime Factorization
| 2 | 644, 356, 466, 258, 203 |
| 2 | 322, 178, 233, 129, 203 |
| 7 | 161, 89, 233, 129, 203 |
| 23, 89, 233, 129, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 23 x 89 x 233 x 129 x 29 = 49959663348
Therefore, the lowest common multiple of 644,356,466,258,203 is 49959663348.
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.
644 x 356 x 466 x 258 x 203 = 5595482294976
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.
644 : 1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
356 : 1, 2, 4, 89, 178, 356
466 : 1, 2, 233, 466
258 : 1, 2, 3, 6, 43, 86, 129, 258
203 : 1, 7, 29, 203
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 644,356,466,258,203, is 1.
Now, the common factors can be found like this.
644:2x 2x 7x 23
356:2x 2x 89
466:2x 233
258:2x 3x 43
203:7x 29
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 7 = 112
Therefore, the value for common factors is 112.
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 = 5595482294976/(1x112)
LCM = 5595482294976/112
LCM = 49959663348
Thus, we can understand that the LCM of 644,356,466,258,203 is 49959663348.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 644, 356, 466, 258, 203
1. What is the LCM of 644, 356, 466, 258, 203?
Answer: LCM of 644, 356, 466, 258, 203 is 49959663348.
2. How to calculate the LCM of 644, 356, 466, 258, 203?
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 644, 356, 466, 258, 203.
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}.