LCM of 809, 572, 928, 582, 132
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 809, 572, 928, 582, 132 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 809, 572, 928, 582, 132. So, keep reading to learn more.
Given numbers are 809,572,928,582,132
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 809,572,928,582,132 is 31241042976.
Find LCM of 809,572,928,582,132 with Prime Factorization
| 2 | 809, 572, 928, 582, 132 |
| 2 | 809, 286, 464, 291, 66 |
| 3 | 809, 143, 232, 291, 33 |
| 11 | 809, 143, 232, 97, 11 |
| 809, 13, 232, 97, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 11 x 809 x 13 x 232 x 97 x 1 = 31241042976
Therefore, the lowest common multiple of 809,572,928,582,132 is 31241042976.
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.
809 x 572 x 928 x 582 x 132 = 32990541382656
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.
809 : 1, 809
572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928
582 : 1, 2, 3, 6, 97, 194, 291, 582
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,572,928,582,132, is 1.
Now, the common factors can be found like this.
809:809
572:2x 2x 11x 13
928:2x 2x 2x 2x 2x 29
582:2x 3x 97
132:2x 2x 3x 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 2x 3x 11 = 1056
Therefore, the value for common factors is 1056.
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 = 32990541382656/(1x1056)
LCM = 32990541382656/1056
LCM = 31241042976
Thus, we can understand that the LCM of 809,572,928,582,132 is 31241042976.
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FAQs on LCM of 809, 572, 928, 582, 132
1. What is the LCM of 809, 572, 928, 582, 132?
Answer: LCM of 809, 572, 928, 582, 132 is 31241042976.
2. How to calculate the LCM of 809, 572, 928, 582, 132?
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 809, 572, 928, 582, 132.
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}.