LCM of 799, 936, 340, 226, 468
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 936, 340, 226, 468 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 799, 936, 340, 226, 468. So, keep reading to learn more.
Given numbers are 799,936,340,226,468
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,936,340,226,468 is 422543160.
Find LCM of 799,936,340,226,468 with Prime Factorization
| 2 | 799, 936, 340, 226, 468 |
| 2 | 799, 468, 170, 113, 234 |
| 3 | 799, 117, 85, 113, 234 |
| 3 | 799, 39, 85, 113, 78 |
| 13 | 799, 13, 85, 113, 26 |
| 17 | 799, 1, 85, 113, 2 |
| 47, 1, 5, 113, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 13 x 17 x 47 x 1 x 5 x 113 x 2 = 422543160
Therefore, the lowest common multiple of 799,936,340,226,468 is 422543160.
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.
799 x 936 x 340 x 226 x 468 = 26894027047680
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.
799 : 1, 17, 47, 799
936 : 1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936
340 : 1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
226 : 1, 2, 113, 226
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,936,340,226,468, is 1.
Now, the common factors can be found like this.
799:17x 47
936:2x 2x 2x 3x 3x 13
340:2x 2x 5x 17
226:2x 113
468:2x 2x 3x 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 2x 3x 3x 13x 17 = 63648
Therefore, the value for common factors is 63648.
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 = 26894027047680/(1x63648)
LCM = 26894027047680/63648
LCM = 422543160
Thus, we can understand that the LCM of 799,936,340,226,468 is 422543160.
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FAQs on LCM of 799, 936, 340, 226, 468
1. What is the LCM of 799, 936, 340, 226, 468?
Answer: LCM of 799, 936, 340, 226, 468 is 422543160.
2. How to calculate the LCM of 799, 936, 340, 226, 468?
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 799, 936, 340, 226, 468.
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}.