LCM of 330, 176, 969, 425, 768
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 176, 969, 425, 768 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 330, 176, 969, 425, 768. So, keep reading to learn more.
Given numbers are 330,176,969,425,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,176,969,425,768 is 68217600.
Find LCM of 330,176,969,425,768 with Prime Factorization
| 2 | 330, 176, 969, 425, 768 |
| 2 | 165, 88, 969, 425, 384 |
| 2 | 165, 44, 969, 425, 192 |
| 2 | 165, 22, 969, 425, 96 |
| 3 | 165, 11, 969, 425, 48 |
| 5 | 55, 11, 323, 425, 16 |
| 11 | 11, 11, 323, 85, 16 |
| 17 | 1, 1, 323, 85, 16 |
| 1, 1, 19, 5, 16 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 3 x 5 x 11 x 17 x 1 x 1 x 19 x 5 x 16 = 68217600
Therefore, the lowest common multiple of 330,176,969,425,768 is 68217600.
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.
330 x 176 x 969 x 425 x 768 = 18369635328000
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.
330 : 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330
176 : 1, 2, 4, 8, 11, 16, 22, 44, 88, 176
969 : 1, 3, 17, 19, 51, 57, 323, 969
425 : 1, 5, 17, 25, 85, 425
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,176,969,425,768, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
176:2x 2x 2x 2x 11
969:3x 17x 19
425:5x 5x 17
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 5x 11x 17 = 269280
Therefore, the value for common factors is 269280.
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 = 18369635328000/(1x269280)
LCM = 18369635328000/269280
LCM = 68217600
Thus, we can understand that the LCM of 330,176,969,425,768 is 68217600.
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FAQs on LCM of 330, 176, 969, 425, 768
1. What is the LCM of 330, 176, 969, 425, 768?
Answer: LCM of 330, 176, 969, 425, 768 is 68217600.
2. How to calculate the LCM of 330, 176, 969, 425, 768?
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 330, 176, 969, 425, 768.
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}.