LCM of 212, 364, 783, 443, 413
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 212, 364, 783, 443, 413 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 212, 364, 783, 443, 413. So, keep reading to learn more.
Given numbers are 212,364,783,443,413
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 212,364,783,443,413 is 394816008132.
Find LCM of 212,364,783,443,413 with Prime Factorization
| 2 | 212, 364, 783, 443, 413 |
| 2 | 106, 182, 783, 443, 413 |
| 7 | 53, 91, 783, 443, 413 |
| 53, 13, 783, 443, 59 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 53 x 13 x 783 x 443 x 59 = 394816008132
Therefore, the lowest common multiple of 212,364,783,443,413 is 394816008132.
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.
212 x 364 x 783 x 443 x 413 = 11054848227696
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.
212 : 1, 2, 4, 53, 106, 212
364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
783 : 1, 3, 9, 27, 29, 87, 261, 783
443 : 1, 443
413 : 1, 7, 59, 413
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,364,783,443,413, is 1.
Now, the common factors can be found like this.
212:2x 2x 53
364:2x 2x 7x 13
783:3x 3x 3x 29
443:443
413:7x 59
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 7 = 28
Therefore, the value for common factors is 28.
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 = 11054848227696/(1x28)
LCM = 11054848227696/28
LCM = 394816008132
Thus, we can understand that the LCM of 212,364,783,443,413 is 394816008132.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 212, 364, 783, 443, 413
1. What is the LCM of 212, 364, 783, 443, 413?
Answer: LCM of 212, 364, 783, 443, 413 is 394816008132.
2. How to calculate the LCM of 212, 364, 783, 443, 413?
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 212, 364, 783, 443, 413.
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}.