LCM of 212, 874, 371, 637, 382
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 212, 874, 371, 637, 382 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, 874, 371, 637, 382. So, keep reading to learn more.
Given numbers are 212,874,371,637,382
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 212,874,371,637,382 is 11271717548.
Find LCM of 212,874,371,637,382 with Prime Factorization
| 2 | 212, 874, 371, 637, 382 |
| 7 | 106, 437, 371, 637, 191 |
| 53 | 106, 437, 53, 91, 191 |
| 2, 437, 1, 91, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 53 x 2 x 437 x 1 x 91 x 191 = 11271717548
Therefore, the lowest common multiple of 212,874,371,637,382 is 11271717548.
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 874 x 371 x 637 x 382 = 16727228841232
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
874 : 1, 2, 19, 23, 38, 46, 437, 874
371 : 1, 7, 53, 371
637 : 1, 7, 13, 49, 91, 637
382 : 1, 2, 191, 382
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,874,371,637,382, is 1.
Now, the common factors can be found like this.
212:2x 2x 53
874:2x 19x 23
371:7x 53
637:7x 7x 13
382:2x 191
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 7x 53 = 1484
Therefore, the value for common factors is 1484.
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 = 16727228841232/(1x1484)
LCM = 16727228841232/1484
LCM = 11271717548
Thus, we can understand that the LCM of 212,874,371,637,382 is 11271717548.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 212, 874, 371, 637, 382
1. What is the LCM of 212, 874, 371, 637, 382?
Answer: LCM of 212, 874, 371, 637, 382 is 11271717548.
2. How to calculate the LCM of 212, 874, 371, 637, 382?
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, 874, 371, 637, 382.
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}.