LCM of 333, 402, 338, 288, 312
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 333, 402, 338, 288, 312 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 333, 402, 338, 288, 312. So, keep reading to learn more.
Given numbers are 333,402,338,288,312
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 333,402,338,288,312 is 120657888.
Find LCM of 333,402,338,288,312 with Prime Factorization
| 2 | 333, 402, 338, 288, 312 |
| 2 | 333, 201, 169, 144, 156 |
| 2 | 333, 201, 169, 72, 78 |
| 3 | 333, 201, 169, 36, 39 |
| 3 | 111, 67, 169, 12, 13 |
| 13 | 37, 67, 169, 4, 13 |
| 37, 67, 1, 4, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 13 x 37 x 67 x 1 x 4 x 13 = 120657888
Therefore, the lowest common multiple of 333,402,338,288,312 is 120657888.
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.
333 x 402 x 338 x 288 x 312 = 4065688194048
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.
333 : 1, 3, 9, 37, 111, 333
402 : 1, 2, 3, 6, 67, 134, 201, 402
338 : 1, 2, 13, 26, 169, 338
288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288
312 : 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 333,402,338,288,312, is 1.
Now, the common factors can be found like this.
333:3x 3x 37
402:2x 3x 67
338:2x 13x 13
288:2x 2x 2x 2x 2x 3x 3
312:2x 2x 2x 3x 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 2x 2x 2x 2x 3x 3x 3x 3x 13 = 33696
Therefore, the value for common factors is 33696.
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 = 4065688194048/(1x33696)
LCM = 4065688194048/33696
LCM = 120657888
Thus, we can understand that the LCM of 333,402,338,288,312 is 120657888.
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FAQs on LCM of 333, 402, 338, 288, 312
1. What is the LCM of 333, 402, 338, 288, 312?
Answer: LCM of 333, 402, 338, 288, 312 is 120657888.
2. How to calculate the LCM of 333, 402, 338, 288, 312?
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 333, 402, 338, 288, 312.
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}.