LCM of 799, 972, 310, 470, 899
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 799, 972, 310, 470, 899 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, 972, 310, 470, 899. So, keep reading to learn more.
Given numbers are 799,972,310,470,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 799,972,310,470,899 is 3490942860.
Find LCM of 799,972,310,470,899 with Prime Factorization
| 2 | 799, 972, 310, 470, 899 |
| 5 | 799, 486, 155, 235, 899 |
| 31 | 799, 486, 31, 47, 899 |
| 47 | 799, 486, 1, 47, 29 |
| 17, 486, 1, 1, 29 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 31 x 47 x 17 x 486 x 1 x 1 x 29 = 3490942860
Therefore, the lowest common multiple of 799,972,310,470,899 is 3490942860.
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 972 x 310 x 470 x 899 = 101726074940400
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
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
310 : 1, 2, 5, 10, 31, 62, 155, 310
470 : 1, 2, 5, 10, 47, 94, 235, 470
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 799,972,310,470,899, is 1.
Now, the common factors can be found like this.
799:17x 47
972:2x 2x 3x 3x 3x 3x 3
310:2x 5x 31
470:2x 5x 47
899:29x 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 5x 31x 47 = 29140
Therefore, the value for common factors is 29140.
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 = 101726074940400/(1x29140)
LCM = 101726074940400/29140
LCM = 3490942860
Thus, we can understand that the LCM of 799,972,310,470,899 is 3490942860.
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FAQs on LCM of 799, 972, 310, 470, 899
1. What is the LCM of 799, 972, 310, 470, 899?
Answer: LCM of 799, 972, 310, 470, 899 is 3490942860.
2. How to calculate the LCM of 799, 972, 310, 470, 899?
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, 972, 310, 470, 899.
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}.