LCM of 463, 538, 442, 536, 868
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 463, 538, 442, 536, 868 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 463, 538, 442, 536, 868. So, keep reading to learn more.
Given numbers are 463,538,442,536,868
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 463,538,442,536,868 is 3201474656744.
Find LCM of 463,538,442,536,868 with Prime Factorization
| 2 | 463, 538, 442, 536, 868 |
| 2 | 463, 269, 221, 268, 434 |
| 463, 269, 221, 134, 217 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 463 x 269 x 221 x 134 x 217 = 3201474656744
Therefore, the lowest common multiple of 463,538,442,536,868 is 3201474656744.
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.
463 x 538 x 442 x 536 x 868 = 51223594507904
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.
463 : 1, 463
538 : 1, 2, 269, 538
442 : 1, 2, 13, 17, 26, 34, 221, 442
536 : 1, 2, 4, 8, 67, 134, 268, 536
868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 463,538,442,536,868, is 1.
Now, the common factors can be found like this.
463:463
538:2x 269
442:2x 13x 17
536:2x 2x 2x 67
868:2x 2x 7x 31
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 2 = 16
Therefore, the value for common factors is 16.
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 = 51223594507904/(1x16)
LCM = 51223594507904/16
LCM = 3201474656744
Thus, we can understand that the LCM of 463,538,442,536,868 is 3201474656744.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 463, 538, 442, 536, 868
1. What is the LCM of 463, 538, 442, 536, 868?
Answer: LCM of 463, 538, 442, 536, 868 is 3201474656744.
2. How to calculate the LCM of 463, 538, 442, 536, 868?
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 463, 538, 442, 536, 868.
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}.