LCM of 382, 818, 462, 764, 156
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 382, 818, 462, 764, 156 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 382, 818, 462, 764, 156. So, keep reading to learn more.
Given numbers are 382,818,462,764,156
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,818,462,764,156 is 938365428.
Find LCM of 382,818,462,764,156 with Prime Factorization
| 2 | 382, 818, 462, 764, 156 |
| 2 | 191, 409, 231, 382, 78 |
| 3 | 191, 409, 231, 191, 39 |
| 191 | 191, 409, 77, 191, 13 |
| 1, 409, 77, 1, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 191 x 1 x 409 x 77 x 1 x 13 = 938365428
Therefore, the lowest common multiple of 382,818,462,764,156 is 938365428.
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.
382 x 818 x 462 x 764 x 156 = 17205868487808
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.
382 : 1, 2, 191, 382
818 : 1, 2, 409, 818
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
764 : 1, 2, 4, 191, 382, 764
156 : 1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,818,462,764,156, is 2.
Now, the common factors can be found like this.
382:2x 191
818:2x 409
462:2x 3x 7x 11
764:2x 2x 191
156:2x 2x 3x 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 2x 2x 3x 191 = 9168
Therefore, the value for common factors is 9168.
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 = 17205868487808/(2x9168)
LCM = 17205868487808/18336
LCM = 938365428
Thus, we can understand that the LCM of 382,818,462,764,156 is 938365428.
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FAQs on LCM of 382, 818, 462, 764, 156
1. What is the LCM of 382, 818, 462, 764, 156?
Answer: LCM of 382, 818, 462, 764, 156 is 938365428.
2. How to calculate the LCM of 382, 818, 462, 764, 156?
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 382, 818, 462, 764, 156.
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}.