LCM of 327, 142, 813, 855, 814
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 327, 142, 813, 855, 814 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 327, 142, 813, 855, 814. So, keep reading to learn more.
Given numbers are 327,142,813,855,814
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 327,142,813,855,814 is 1459636305930.
Find LCM of 327,142,813,855,814 with Prime Factorization
| 2 | 327, 142, 813, 855, 814 |
| 3 | 327, 71, 813, 855, 407 |
| 109, 71, 271, 285, 407 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 109 x 71 x 271 x 285 x 407 = 1459636305930
Therefore, the lowest common multiple of 327,142,813,855,814 is 1459636305930.
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.
327 x 142 x 813 x 855 x 814 = 26273453506740
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.
327 : 1, 3, 109, 327
142 : 1, 2, 71, 142
813 : 1, 3, 271, 813
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
814 : 1, 2, 11, 22, 37, 74, 407, 814
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 327,142,813,855,814, is 1.
Now, the common factors can be found like this.
327:3x 109
142:2x 71
813:3x 271
855:3x 3x 5x 19
814:2x 11x 37
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 3 = 18
Therefore, the value for common factors is 18.
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 = 26273453506740/(1x18)
LCM = 26273453506740/18
LCM = 1459636305930
Thus, we can understand that the LCM of 327,142,813,855,814 is 1459636305930.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 327, 142, 813, 855, 814
1. What is the LCM of 327, 142, 813, 855, 814?
Answer: LCM of 327, 142, 813, 855, 814 is 1459636305930.
2. How to calculate the LCM of 327, 142, 813, 855, 814?
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 327, 142, 813, 855, 814.
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}.