LCM of 933, 329, 774, 559, 338
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 933, 329, 774, 559, 338 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 933, 329, 774, 559, 338. So, keep reading to learn more.
Given numbers are 933,329,774,559,338
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 933,329,774,559,338 is 13383939114.
Find LCM of 933,329,774,559,338 with Prime Factorization
| 2 | 933, 329, 774, 559, 338 |
| 3 | 933, 329, 387, 559, 169 |
| 13 | 311, 329, 129, 559, 169 |
| 43 | 311, 329, 129, 43, 13 |
| 311, 329, 3, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 13 x 43 x 311 x 329 x 3 x 1 x 13 = 13383939114
Therefore, the lowest common multiple of 933,329,774,559,338 is 13383939114.
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.
933 x 329 x 774 x 559 x 338 = 44889731788356
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.
933 : 1, 3, 311, 933
329 : 1, 7, 47, 329
774 : 1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774
559 : 1, 13, 43, 559
338 : 1, 2, 13, 26, 169, 338
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 933,329,774,559,338, is 1.
Now, the common factors can be found like this.
933:3x 311
329:7x 47
774:2x 3x 3x 43
559:13x 43
338:2x 13x 13
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 43 = 3354
Therefore, the value for common factors is 3354.
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 = 44889731788356/(1x3354)
LCM = 44889731788356/3354
LCM = 13383939114
Thus, we can understand that the LCM of 933,329,774,559,338 is 13383939114.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 933, 329, 774, 559, 338
1. What is the LCM of 933, 329, 774, 559, 338?
Answer: LCM of 933, 329, 774, 559, 338 is 13383939114.
2. How to calculate the LCM of 933, 329, 774, 559, 338?
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 933, 329, 774, 559, 338.
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}.