LCM of 704, 768, 345, 235
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 704, 768, 345, 235 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 704, 768, 345, 235. So, keep reading to learn more.
Given numbers are 704,768,345,235
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 704,768,345,235 is 45661440.
Find LCM of 704,768,345,235 with Prime Factorization
| 2 | 704, 768, 345, 235 |
| 2 | 352, 384, 345, 235 |
| 2 | 176, 192, 345, 235 |
| 2 | 88, 96, 345, 235 |
| 2 | 44, 48, 345, 235 |
| 2 | 22, 24, 345, 235 |
| 3 | 11, 12, 345, 235 |
| 5 | 11, 4, 115, 235 |
| 11, 4, 23, 47 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 3 x 5 x 11 x 4 x 23 x 47 = 45661440
Therefore, the lowest common multiple of 704,768,345,235 is 45661440.
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.
704 x 768 x 345 x 235 = 43834982400
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.
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
345 : 1, 3, 5, 15, 23, 69, 115, 345
235 : 1, 5, 47, 235
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 704,768,345,235, is 1.
Now, the common factors can be found like this.
704:2x 2x 2x 2x 2x 2x 11
768:2x 2x 2x 2x 2x 2x 2x 2x 3
345:3x 5x 23
235:5x 47
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 2x 3x 5 = 960
Therefore, the value for common factors is 960.
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 = 43834982400/(1x960)
LCM = 43834982400/960
LCM = 45661440
Thus, we can understand that the LCM of 704,768,345,235 is 45661440.
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FAQs on LCM of 704, 768, 345, 235
1. What is the LCM of 704, 768, 345, 235?
Answer: LCM of 704, 768, 345, 235 is 45661440.
2. How to calculate the LCM of 704, 768, 345, 235?
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 704, 768, 345, 235.
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}.