LCM of 538, 852, 412, 994
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 538, 852, 412, 994 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 538, 852, 412, 994. So, keep reading to learn more.
Given numbers are 538,852,412,994
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 538,852,412,994 is 165244548.
Find LCM of 538,852,412,994 with Prime Factorization
| 2 | 538, 852, 412, 994 |
| 2 | 269, 426, 206, 497 |
| 71 | 269, 213, 103, 497 |
| 269, 3, 103, 7 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 71 x 269 x 3 x 103 x 7 = 165244548
Therefore, the lowest common multiple of 538,852,412,994 is 165244548.
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.
538 x 852 x 412 x 994 = 187717806528
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.
538 : 1, 2, 269, 538
852 : 1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
412 : 1, 2, 4, 103, 206, 412
994 : 1, 2, 7, 14, 71, 142, 497, 994
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 538,852,412,994, is 2.
Now, the common factors can be found like this.
538:2x 269
852:2x 2x 3x 71
412:2x 2x 103
994:2x 7x 71
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 71 = 568
Therefore, the value for common factors is 568.
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 = 187717806528/(2x568)
LCM = 187717806528/1136
LCM = 165244548
Thus, we can understand that the LCM of 538,852,412,994 is 165244548.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 538, 852, 412, 994
1. What is the LCM of 538, 852, 412, 994?
Answer: LCM of 538, 852, 412, 994 is 165244548.
2. How to calculate the LCM of 538, 852, 412, 994?
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 538, 852, 412, 994.
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}.