LCM of 591, 864, 189, 684, 600
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 864, 189, 684, 600 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, 864, 189, 684, 600. So, keep reading to learn more.
Given numbers are 591,864,189,684,600
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,864,189,684,600 is 565941600.
Find LCM of 591,864,189,684,600 with Prime Factorization
| 2 | 591, 864, 189, 684, 600 |
| 2 | 591, 432, 189, 342, 300 |
| 2 | 591, 216, 189, 171, 150 |
| 3 | 591, 108, 189, 171, 75 |
| 3 | 197, 36, 63, 57, 25 |
| 3 | 197, 12, 21, 19, 25 |
| 197, 4, 7, 19, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 197 x 4 x 7 x 19 x 25 = 565941600
Therefore, the lowest common multiple of 591,864,189,684,600 is 565941600.
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 864 x 189 x 684 x 600 = 39606856934400
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
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
189 : 1, 3, 7, 9, 21, 27, 63, 189
684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
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
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,864,189,684,600, is 3.
Now, the common factors can be found like this.
591:3x 197
864:2x 2x 2x 2x 2x 3x 3x 3
189:3x 3x 3x 7
684:2x 2x 3x 3x 19
600:2x 2x 2x 3x 5x 5
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 3x 3x 3x 3x 3 = 23328
Therefore, the value for common factors is 23328.
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 = 39606856934400/(3x23328)
LCM = 39606856934400/69984
LCM = 565941600
Thus, we can understand that the LCM of 591,864,189,684,600 is 565941600.
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FAQs on LCM of 591, 864, 189, 684, 600
1. What is the LCM of 591, 864, 189, 684, 600?
Answer: LCM of 591, 864, 189, 684, 600 is 565941600.
2. How to calculate the LCM of 591, 864, 189, 684, 600?
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, 864, 189, 684, 600.
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}.