LCM of 799, 568, 185, 440, 894
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 568, 185, 440, 894 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, 568, 185, 440, 894. So, keep reading to learn more.
Given numbers are 799,568,185,440,894
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,568,185,440,894 is 412826009640.
Find LCM of 799,568,185,440,894 with Prime Factorization
| 2 | 799, 568, 185, 440, 894 |
| 2 | 799, 284, 185, 220, 447 |
| 2 | 799, 142, 185, 110, 447 |
| 5 | 799, 71, 185, 55, 447 |
| 799, 71, 37, 11, 447 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 799 x 71 x 37 x 11 x 447 = 412826009640
Therefore, the lowest common multiple of 799,568,185,440,894 is 412826009640.
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 568 x 185 x 440 x 894 = 33026080771200
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
568 : 1, 2, 4, 8, 71, 142, 284, 568
185 : 1, 5, 37, 185
440 : 1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440
894 : 1, 2, 3, 6, 149, 298, 447, 894
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,568,185,440,894, is 1.
Now, the common factors can be found like this.
799:17x 47
568:2x 2x 2x 71
185:5x 37
440:2x 2x 2x 5x 11
894:2x 3x 149
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 5 = 80
Therefore, the value for common factors is 80.
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 = 33026080771200/(1x80)
LCM = 33026080771200/80
LCM = 412826009640
Thus, we can understand that the LCM of 799,568,185,440,894 is 412826009640.
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FAQs on LCM of 799, 568, 185, 440, 894
1. What is the LCM of 799, 568, 185, 440, 894?
Answer: LCM of 799, 568, 185, 440, 894 is 412826009640.
2. How to calculate the LCM of 799, 568, 185, 440, 894?
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, 568, 185, 440, 894.
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}.