LCM of 529, 112, 131, 494, 805
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 529, 112, 131, 494, 805 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 529, 112, 131, 494, 805. So, keep reading to learn more.
Given numbers are 529,112,131,494,805
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 529,112,131,494,805 is 9585437680.
Find LCM of 529,112,131,494,805 with Prime Factorization
| 2 | 529, 112, 131, 494, 805 |
| 7 | 529, 56, 131, 247, 805 |
| 23 | 529, 8, 131, 247, 115 |
| 23, 8, 131, 247, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 23 x 23 x 8 x 131 x 247 x 5 = 9585437680
Therefore, the lowest common multiple of 529,112,131,494,805 is 9585437680.
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.
529 x 112 x 131 x 494 x 805 = 3086510932960
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.
529 : 1, 23, 529
112 : 1, 2, 4, 7, 8, 14, 16, 28, 56, 112
131 : 1, 131
494 : 1, 2, 13, 19, 26, 38, 247, 494
805 : 1, 5, 7, 23, 35, 115, 161, 805
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 529,112,131,494,805, is 1.
Now, the common factors can be found like this.
529:23x 23
112:2x 2x 2x 2x 7
131:131
494:2x 13x 19
805:5x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 23 = 322
Therefore, the value for common factors is 322.
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 = 3086510932960/(1x322)
LCM = 3086510932960/322
LCM = 9585437680
Thus, we can understand that the LCM of 529,112,131,494,805 is 9585437680.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 529, 112, 131, 494, 805
1. What is the LCM of 529, 112, 131, 494, 805?
Answer: LCM of 529, 112, 131, 494, 805 is 9585437680.
2. How to calculate the LCM of 529, 112, 131, 494, 805?
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 529, 112, 131, 494, 805.
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}.