LCM of 861, 400, 468, 604, 996
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 861, 400, 468, 604, 996 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 861, 400, 468, 604, 996. So, keep reading to learn more.
Given numbers are 861,400,468,604,996
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 861,400,468,604,996 is 168338242800.
Find LCM of 861,400,468,604,996 with Prime Factorization
| 2 | 861, 400, 468, 604, 996 |
| 2 | 861, 200, 234, 302, 498 |
| 3 | 861, 100, 117, 151, 249 |
| 287, 100, 39, 151, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 287 x 100 x 39 x 151 x 83 = 168338242800
Therefore, the lowest common multiple of 861,400,468,604,996 is 168338242800.
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.
861 x 400 x 468 x 604 x 996 = 96962827852800
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.
861 : 1, 3, 7, 21, 41, 123, 287, 861
400 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
604 : 1, 2, 4, 151, 302, 604
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 861,400,468,604,996, is 1.
Now, the common factors can be found like this.
861:3x 7x 41
400:2x 2x 2x 2x 5x 5
468:2x 2x 3x 3x 13
604:2x 2x 151
996:2x 2x 3x 83
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 2x 2x 3x 3 = 576
Therefore, the value for common factors is 576.
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 = 96962827852800/(1x576)
LCM = 96962827852800/576
LCM = 168338242800
Thus, we can understand that the LCM of 861,400,468,604,996 is 168338242800.
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FAQs on LCM of 861, 400, 468, 604, 996
1. What is the LCM of 861, 400, 468, 604, 996?
Answer: LCM of 861, 400, 468, 604, 996 is 168338242800.
2. How to calculate the LCM of 861, 400, 468, 604, 996?
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 861, 400, 468, 604, 996.
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}.