LCM of 810, 126, 130, 713, 154
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 810, 126, 130, 713, 154 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 810, 126, 130, 713, 154. So, keep reading to learn more.
Given numbers are 810,126,130,713,154
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,126,130,713,154 is 578107530.
Find LCM of 810,126,130,713,154 with Prime Factorization
| 2 | 810, 126, 130, 713, 154 |
| 3 | 405, 63, 65, 713, 77 |
| 3 | 135, 21, 65, 713, 77 |
| 5 | 45, 7, 65, 713, 77 |
| 7 | 9, 7, 13, 713, 77 |
| 9, 1, 13, 713, 11 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 5 x 7 x 9 x 1 x 13 x 713 x 11 = 578107530
Therefore, the lowest common multiple of 810,126,130,713,154 is 578107530.
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.
810 x 126 x 130 x 713 x 154 = 1456830975600
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.
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
130 : 1, 2, 5, 10, 13, 26, 65, 130
713 : 1, 23, 31, 713
154 : 1, 2, 7, 11, 14, 22, 77, 154
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,126,130,713,154, is 1.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
126:2x 3x 3x 7
130:2x 5x 13
713:23x 31
154:2x 7x 11
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 3x 3x 5x 7 = 2520
Therefore, the value for common factors is 2520.
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 = 1456830975600/(1x2520)
LCM = 1456830975600/2520
LCM = 578107530
Thus, we can understand that the LCM of 810,126,130,713,154 is 578107530.
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FAQs on LCM of 810, 126, 130, 713, 154
1. What is the LCM of 810, 126, 130, 713, 154?
Answer: LCM of 810, 126, 130, 713, 154 is 578107530.
2. How to calculate the LCM of 810, 126, 130, 713, 154?
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 810, 126, 130, 713, 154.
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}.