LCM of 591, 600, 104, 803, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 600, 104, 803, 832 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 591, 600, 104, 803, 832. So, keep reading to learn more.
Given numbers are 591,600,104,803,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,600,104,803,832 is 9871118400.
Find LCM of 591,600,104,803,832 with Prime Factorization
| 2 | 591, 600, 104, 803, 832 |
| 2 | 591, 300, 52, 803, 416 |
| 2 | 591, 150, 26, 803, 208 |
| 3 | 591, 75, 13, 803, 104 |
| 13 | 197, 25, 13, 803, 104 |
| 197, 25, 1, 803, 8 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 13 x 197 x 25 x 1 x 803 x 8 = 9871118400
Therefore, the lowest common multiple of 591,600,104,803,832 is 9871118400.
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.
591 x 600 x 104 x 803 x 832 = 24638311526400
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.
591 : 1, 3, 197, 591
600 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
104 : 1, 2, 4, 8, 13, 26, 52, 104
803 : 1, 11, 73, 803
832 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,600,104,803,832, is 1.
Now, the common factors can be found like this.
591:3x 197
600:2x 2x 2x 3x 5x 5
104:2x 2x 2x 13
803:11x 73
832:2x 2x 2x 2x 2x 2x 13
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 2x 3x 13 = 2496
Therefore, the value for common factors is 2496.
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 = 24638311526400/(1x2496)
LCM = 24638311526400/2496
LCM = 9871118400
Thus, we can understand that the LCM of 591,600,104,803,832 is 9871118400.
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FAQs on LCM of 591, 600, 104, 803, 832
1. What is the LCM of 591, 600, 104, 803, 832?
Answer: LCM of 591, 600, 104, 803, 832 is 9871118400.
2. How to calculate the LCM of 591, 600, 104, 803, 832?
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 591, 600, 104, 803, 832.
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}.