LCM of 212, 913, 957, 202, 382
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 212, 913, 957, 202, 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, 913, 957, 202, 382. So, keep reading to learn more.
Given numbers are 212,913,957,202,382
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 212,913,957,202,382 is 324848325252.
Find LCM of 212,913,957,202,382 with Prime Factorization
| 2 | 212, 913, 957, 202, 382 |
| 11 | 106, 913, 957, 101, 191 |
| 106, 83, 87, 101, 191 |
Multiply the prime numbers at the bottom and the left side.
2 x 11 x 106 x 83 x 87 x 101 x 191 = 324848325252
Therefore, the lowest common multiple of 212,913,957,202,382 is 324848325252.
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 913 x 957 x 202 x 382 = 14293326311088
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
913 : 1, 11, 83, 913
957 : 1, 3, 11, 29, 33, 87, 319, 957
202 : 1, 2, 101, 202
382 : 1, 2, 191, 382
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 212,913,957,202,382, is 1.
Now, the common factors can be found like this.
212:2x 2x 53
913:11x 83
957:3x 11x 29
202:2x 101
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 11 = 44
Therefore, the value for common factors is 44.
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 = 14293326311088/(1x44)
LCM = 14293326311088/44
LCM = 324848325252
Thus, we can understand that the LCM of 212,913,957,202,382 is 324848325252.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 212, 913, 957, 202, 382
1. What is the LCM of 212, 913, 957, 202, 382?
Answer: LCM of 212, 913, 957, 202, 382 is 324848325252.
2. How to calculate the LCM of 212, 913, 957, 202, 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, 913, 957, 202, 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}.