LCM of 330, 514, 591, 428, 968
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 514, 591, 428, 968 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, 514, 591, 428, 968. So, keep reading to learn more.
Given numbers are 330,514,591,428,968
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,514,591,428,968 is 78659239560.
Find LCM of 330,514,591,428,968 with Prime Factorization
| 2 | 330, 514, 591, 428, 968 |
| 2 | 165, 257, 591, 214, 484 |
| 3 | 165, 257, 591, 107, 242 |
| 11 | 55, 257, 197, 107, 242 |
| 5, 257, 197, 107, 22 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 5 x 257 x 197 x 107 x 22 = 78659239560
Therefore, the lowest common multiple of 330,514,591,428,968 is 78659239560.
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 514 x 591 x 428 x 968 = 41532078487680
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
514 : 1, 2, 257, 514
591 : 1, 3, 197, 591
428 : 1, 2, 4, 107, 214, 428
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,514,591,428,968, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
514:2x 257
591:3x 197
428:2x 2x 107
968:2x 2x 2x 11x 11
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 3x 11 = 528
Therefore, the value for common factors is 528.
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 = 41532078487680/(1x528)
LCM = 41532078487680/528
LCM = 78659239560
Thus, we can understand that the LCM of 330,514,591,428,968 is 78659239560.
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FAQs on LCM of 330, 514, 591, 428, 968
1. What is the LCM of 330, 514, 591, 428, 968?
Answer: LCM of 330, 514, 591, 428, 968 is 78659239560.
2. How to calculate the LCM of 330, 514, 591, 428, 968?
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, 514, 591, 428, 968.
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}.