LCM of 786, 810, 153, 432, 325
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 786, 810, 153, 432, 325 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 786, 810, 153, 432, 325. So, keep reading to learn more.
Given numbers are 786,810,153,432,325
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 786,810,153,432,325 is 938012400.
Find LCM of 786,810,153,432,325 with Prime Factorization
| 2 | 786, 810, 153, 432, 325 |
| 3 | 393, 405, 153, 216, 325 |
| 3 | 131, 135, 51, 72, 325 |
| 3 | 131, 45, 17, 24, 325 |
| 5 | 131, 15, 17, 8, 325 |
| 131, 3, 17, 8, 65 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 131 x 3 x 17 x 8 x 65 = 938012400
Therefore, the lowest common multiple of 786,810,153,432,325 is 938012400.
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.
786 x 810 x 153 x 432 x 325 = 13676220792000
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.
786 : 1, 2, 3, 6, 131, 262, 393, 786
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
153 : 1, 3, 9, 17, 51, 153
432 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
325 : 1, 5, 13, 25, 65, 325
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 786,810,153,432,325, is 1.
Now, the common factors can be found like this.
786:2x 3x 131
810:2x 3x 3x 3x 3x 5
153:3x 3x 17
432:2x 2x 2x 2x 3x 3x 3
325:5x 5x 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 3x 3x 3x 3x 3x 3x 5 = 14580
Therefore, the value for common factors is 14580.
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 = 13676220792000/(1x14580)
LCM = 13676220792000/14580
LCM = 938012400
Thus, we can understand that the LCM of 786,810,153,432,325 is 938012400.
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FAQs on LCM of 786, 810, 153, 432, 325
1. What is the LCM of 786, 810, 153, 432, 325?
Answer: LCM of 786, 810, 153, 432, 325 is 938012400.
2. How to calculate the LCM of 786, 810, 153, 432, 325?
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 786, 810, 153, 432, 325.
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}.