LCM of 330, 731, 148, 705, 884
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 330, 731, 148, 705, 884 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, 731, 148, 705, 884. So, keep reading to learn more.
Given numbers are 330,731,148,705,884
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 330,731,148,705,884 is 10906973220.
Find LCM of 330,731,148,705,884 with Prime Factorization
| 2 | 330, 731, 148, 705, 884 |
| 2 | 165, 731, 74, 705, 442 |
| 3 | 165, 731, 37, 705, 221 |
| 5 | 55, 731, 37, 235, 221 |
| 17 | 11, 731, 37, 47, 221 |
| 11, 43, 37, 47, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 5 x 17 x 11 x 43 x 37 x 47 x 13 = 10906973220
Therefore, the lowest common multiple of 330,731,148,705,884 is 10906973220.
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 731 x 148 x 705 x 884 = 22250225368800
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
731 : 1, 17, 43, 731
148 : 1, 2, 4, 37, 74, 148
705 : 1, 3, 5, 15, 47, 141, 235, 705
884 : 1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 330,731,148,705,884, is 1.
Now, the common factors can be found like this.
330:2x 3x 5x 11
731:17x 43
148:2x 2x 37
705:3x 5x 47
884:2x 2x 13x 17
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 5x 17 = 2040
Therefore, the value for common factors is 2040.
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 = 22250225368800/(1x2040)
LCM = 22250225368800/2040
LCM = 10906973220
Thus, we can understand that the LCM of 330,731,148,705,884 is 10906973220.
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FAQs on LCM of 330, 731, 148, 705, 884
1. What is the LCM of 330, 731, 148, 705, 884?
Answer: LCM of 330, 731, 148, 705, 884 is 10906973220.
2. How to calculate the LCM of 330, 731, 148, 705, 884?
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, 731, 148, 705, 884.
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}.