LCM of 585, 643, 182, 832
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 585, 643, 182, 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 585, 643, 182, 832. So, keep reading to learn more.
Given numbers are 585,643,182,832
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 585,643,182,832 is 168517440.
Find LCM of 585,643,182,832 with Prime Factorization
| 2 | 585, 643, 182, 832 |
| 13 | 585, 643, 91, 416 |
| 45, 643, 7, 32 |
Multiply the prime numbers at the bottom and the left side.
2 x 13 x 45 x 643 x 7 x 32 = 168517440
Therefore, the lowest common multiple of 585,643,182,832 is 168517440.
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 643 x 182 x 832 = 56958894720
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
643 : 1, 643
182 : 1, 2, 7, 13, 14, 26, 91, 182
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 585,643,182,832, is 1.
Now, the common factors can be found like this.
585:3x 3x 5x 13
643:643
182:2x 7x 13
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 13x 13 = 338
Therefore, the value for common factors is 338.
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 = 56958894720/(1x338)
LCM = 56958894720/338
LCM = 168517440
Thus, we can understand that the LCM of 585,643,182,832 is 168517440.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 585, 643, 182, 832
1. What is the LCM of 585, 643, 182, 832?
Answer: LCM of 585, 643, 182, 832 is 168517440.
2. How to calculate the LCM of 585, 643, 182, 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 585, 643, 182, 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}.