LCM of 799, 304, 853, 168, 522
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 304, 853, 168, 522 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, 304, 853, 168, 522. So, keep reading to learn more.
Given numbers are 799,304,853,168,522
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,304,853,168,522 is 378536656176.
Find LCM of 799,304,853,168,522 with Prime Factorization
| 2 | 799, 304, 853, 168, 522 |
| 2 | 799, 152, 853, 84, 261 |
| 2 | 799, 76, 853, 42, 261 |
| 3 | 799, 38, 853, 21, 261 |
| 799, 38, 853, 7, 87 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 799 x 38 x 853 x 7 x 87 = 378536656176
Therefore, the lowest common multiple of 799,304,853,168,522 is 378536656176.
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 304 x 853 x 168 x 522 = 18169759496448
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
304 : 1, 2, 4, 8, 16, 19, 38, 76, 152, 304
853 : 1, 853
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,304,853,168,522, is 1.
Now, the common factors can be found like this.
799:17x 47
304:2x 2x 2x 2x 19
853:853
168:2x 2x 2x 3x 7
522:2x 3x 3x 29
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 3 = 48
Therefore, the value for common factors is 48.
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 = 18169759496448/(1x48)
LCM = 18169759496448/48
LCM = 378536656176
Thus, we can understand that the LCM of 799,304,853,168,522 is 378536656176.
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FAQs on LCM of 799, 304, 853, 168, 522
1. What is the LCM of 799, 304, 853, 168, 522?
Answer: LCM of 799, 304, 853, 168, 522 is 378536656176.
2. How to calculate the LCM of 799, 304, 853, 168, 522?
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, 304, 853, 168, 522.
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}.