LCM of 330, 675, 704, 634
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 675, 704, 634 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, 675, 704, 634. So, keep reading to learn more.
Given numbers are 330,675,704,634
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,675,704,634 is 150638400.
Find LCM of 330,675,704,634 with Prime Factorization
| 2 | 330, 675, 704, 634 |
| 3 | 165, 675, 352, 317 |
| 5 | 55, 225, 352, 317 |
| 11 | 11, 45, 352, 317 |
| 1, 45, 32, 317 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 11 x 1 x 45 x 32 x 317 = 150638400
Therefore, the lowest common multiple of 330,675,704,634 is 150638400.
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 675 x 704 x 634 = 99421344000
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
675 : 1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
634 : 1, 2, 317, 634
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,675,704,634, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
675:3x 3x 3x 5x 5
704:2x 2x 2x 2x 2x 2x 11
634:2x 317
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 3x 5x 11 = 660
Therefore, the value for common factors is 660.
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 = 99421344000/(1x660)
LCM = 99421344000/660
LCM = 150638400
Thus, we can understand that the LCM of 330,675,704,634 is 150638400.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 330, 675, 704, 634
1. What is the LCM of 330, 675, 704, 634?
Answer: LCM of 330, 675, 704, 634 is 150638400.
2. How to calculate the LCM of 330, 675, 704, 634?
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, 675, 704, 634.
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}.