LCM of 330, 759, 920, 591, 628
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 759, 920, 591, 628 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, 759, 920, 591, 628. So, keep reading to learn more.
Given numbers are 330,759,920,591,628
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,759,920,591,628 is 939004440.
Find LCM of 330,759,920,591,628 with Prime Factorization
| 2 | 330, 759, 920, 591, 628 |
| 2 | 165, 759, 460, 591, 314 |
| 3 | 165, 759, 230, 591, 157 |
| 5 | 55, 253, 230, 197, 157 |
| 11 | 11, 253, 46, 197, 157 |
| 23 | 1, 23, 46, 197, 157 |
| 1, 1, 2, 197, 157 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 11 x 23 x 1 x 1 x 2 x 197 x 157 = 939004440
Therefore, the lowest common multiple of 330,759,920,591,628 is 939004440.
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 759 x 920 x 591 x 628 = 85524524395200
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
759 : 1, 3, 11, 23, 33, 69, 253, 759
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
591 : 1, 3, 197, 591
628 : 1, 2, 4, 157, 314, 628
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,759,920,591,628, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
759:3x 11x 23
920:2x 2x 2x 5x 23
591:3x 197
628:2x 2x 157
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 3x 3x 5x 11x 23 = 91080
Therefore, the value for common factors is 91080.
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 = 85524524395200/(1x91080)
LCM = 85524524395200/91080
LCM = 939004440
Thus, we can understand that the LCM of 330,759,920,591,628 is 939004440.
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FAQs on LCM of 330, 759, 920, 591, 628
1. What is the LCM of 330, 759, 920, 591, 628?
Answer: LCM of 330, 759, 920, 591, 628 is 939004440.
2. How to calculate the LCM of 330, 759, 920, 591, 628?
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, 759, 920, 591, 628.
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}.