LCM of 306, 432, 741, 810, 500
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 306, 432, 741, 810, 500 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 306, 432, 741, 810, 500. So, keep reading to learn more.
Given numbers are 306,432,741,810,500
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 306,432,741,810,500 is 680238000.
Find LCM of 306,432,741,810,500 with Prime Factorization
| 2 | 306, 432, 741, 810, 500 |
| 2 | 153, 216, 741, 405, 250 |
| 3 | 153, 108, 741, 405, 125 |
| 3 | 51, 36, 247, 135, 125 |
| 3 | 17, 12, 247, 45, 125 |
| 5 | 17, 4, 247, 15, 125 |
| 17, 4, 247, 3, 25 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 5 x 17 x 4 x 247 x 3 x 25 = 680238000
Therefore, the lowest common multiple of 306,432,741,810,500 is 680238000.
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.
306 x 432 x 741 x 810 x 500 = 39671480160000
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.
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
741 : 1, 3, 13, 19, 39, 57, 247, 741
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 306,432,741,810,500, is 1.
Now, the common factors can be found like this.
306:2x 3x 3x 17
432:2x 2x 2x 2x 3x 3x 3
741:3x 13x 19
810:2x 3x 3x 3x 3x 5
500:2x 2x 5x 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 3x 3x 3x 3x 3x 3x 5 = 58320
Therefore, the value for common factors is 58320.
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 = 39671480160000/(1x58320)
LCM = 39671480160000/58320
LCM = 680238000
Thus, we can understand that the LCM of 306,432,741,810,500 is 680238000.
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FAQs on LCM of 306, 432, 741, 810, 500
1. What is the LCM of 306, 432, 741, 810, 500?
Answer: LCM of 306, 432, 741, 810, 500 is 680238000.
2. How to calculate the LCM of 306, 432, 741, 810, 500?
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 306, 432, 741, 810, 500.
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}.