LCM of 884, 201, 338, 357
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 884, 201, 338, 357 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 884, 201, 338, 357. So, keep reading to learn more.
Given numbers are 884,201,338,357
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 884,201,338,357 is 16169244.
Find LCM of 884,201,338,357 with Prime Factorization
| 2 | 884, 201, 338, 357 |
| 3 | 442, 201, 169, 357 |
| 13 | 442, 67, 169, 119 |
| 17 | 34, 67, 13, 119 |
| 2, 67, 13, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 17 x 2 x 67 x 13 x 7 = 16169244
Therefore, the lowest common multiple of 884,201,338,357 is 16169244.
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.
884 x 201 x 338 x 357 = 21440417544
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.
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
201 : 1, 3, 67, 201
338 : 1, 2, 13, 26, 169, 338
357 : 1, 3, 7, 17, 21, 51, 119, 357
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 884,201,338,357, is 1.
Now, the common factors can be found like this.
884:2x 2x 13x 17
201:3x 67
338:2x 13x 13
357:3x 7x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 13x 17 = 1326
Therefore, the value for common factors is 1326.
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 = 21440417544/(1x1326)
LCM = 21440417544/1326
LCM = 16169244
Thus, we can understand that the LCM of 884,201,338,357 is 16169244.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 884, 201, 338, 357
1. What is the LCM of 884, 201, 338, 357?
Answer: LCM of 884, 201, 338, 357 is 16169244.
2. How to calculate the LCM of 884, 201, 338, 357?
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 884, 201, 338, 357.
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}.