LCM of 585, 930, 151, 930, 645
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 585, 930, 151, 930, 645 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 585, 930, 151, 930, 645. So, keep reading to learn more.
Given numbers are 585,930,151,930,645
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,930,151,930,645 is 235501110.
Find LCM of 585,930,151,930,645 with Prime Factorization
| 2 | 585, 930, 151, 930, 645 |
| 3 | 585, 465, 151, 465, 645 |
| 5 | 195, 155, 151, 155, 215 |
| 31 | 39, 31, 151, 31, 43 |
| 39, 1, 151, 1, 43 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 31 x 39 x 1 x 151 x 1 x 43 = 235501110
Therefore, the lowest common multiple of 585,930,151,930,645 is 235501110.
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.
585 x 930 x 151 x 930 x 645 = 49278607267500
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.
585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
151 : 1, 151
930 : 1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930
645 : 1, 3, 5, 15, 43, 129, 215, 645
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 585,930,151,930,645, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
930:2x 3x 5x 31
151:151
930:2x 3x 5x 31
645:3x 5x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 5x 5x 5x 31 = 209250
Therefore, the value for common factors is 209250.
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 = 49278607267500/(1x209250)
LCM = 49278607267500/209250
LCM = 235501110
Thus, we can understand that the LCM of 585,930,151,930,645 is 235501110.
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FAQs on LCM of 585, 930, 151, 930, 645
1. What is the LCM of 585, 930, 151, 930, 645?
Answer: LCM of 585, 930, 151, 930, 645 is 235501110.
2. How to calculate the LCM of 585, 930, 151, 930, 645?
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 585, 930, 151, 930, 645.
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}.