LCM of 132, 351, 381, 835, 810
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 132, 351, 381, 835, 810 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 132, 351, 381, 835, 810. So, keep reading to learn more.
Given numbers are 132,351,381,835,810
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 132,351,381,835,810 is 4913276940.
Find LCM of 132,351,381,835,810 with Prime Factorization
| 2 | 132, 351, 381, 835, 810 |
| 3 | 66, 351, 381, 835, 405 |
| 3 | 22, 117, 127, 835, 135 |
| 3 | 22, 39, 127, 835, 45 |
| 5 | 22, 13, 127, 835, 15 |
| 22, 13, 127, 167, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 5 x 22 x 13 x 127 x 167 x 3 = 4913276940
Therefore, the lowest common multiple of 132,351,381,835,810 is 4913276940.
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.
132 x 351 x 381 x 835 x 810 = 11939262964200
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.
132 : 1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
351 : 1, 3, 9, 13, 27, 39, 117, 351
381 : 1, 3, 127, 381
835 : 1, 5, 167, 835
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 132,351,381,835,810, is 1.
Now, the common factors can be found like this.
132:2x 2x 3x 11
351:3x 3x 3x 13
381:3x 127
835:5x 167
810:2x 3x 3x 3x 3x 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 3x 3x 3x 3x 3x 5 = 2430
Therefore, the value for common factors is 2430.
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 = 11939262964200/(1x2430)
LCM = 11939262964200/2430
LCM = 4913276940
Thus, we can understand that the LCM of 132,351,381,835,810 is 4913276940.
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FAQs on LCM of 132, 351, 381, 835, 810
1. What is the LCM of 132, 351, 381, 835, 810?
Answer: LCM of 132, 351, 381, 835, 810 is 4913276940.
2. How to calculate the LCM of 132, 351, 381, 835, 810?
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 132, 351, 381, 835, 810.
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}.