LCM of 486, 899, 192, 845, 475
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 899, 192, 845, 475 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 486, 899, 192, 845, 475. So, keep reading to learn more.
Given numbers are 486,899,192,845,475
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,899,192,845,475 is 1122344683200.
Find LCM of 486,899,192,845,475 with Prime Factorization
| 2 | 486, 899, 192, 845, 475 |
| 3 | 243, 899, 96, 845, 475 |
| 5 | 81, 899, 32, 845, 475 |
| 81, 899, 32, 169, 95 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 5 x 81 x 899 x 32 x 169 x 95 = 1122344683200
Therefore, the lowest common multiple of 486,899,192,845,475 is 1122344683200.
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.
486 x 899 x 192 x 845 x 475 = 33670340496000
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
899 : 1, 29, 31, 899
192 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 192
845 : 1, 5, 13, 65, 169, 845
475 : 1, 5, 19, 25, 95, 475
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,899,192,845,475, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
899:29x 31
192:2x 2x 2x 2x 2x 2x 3
845:5x 13x 13
475:5x 5x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 5 = 30
Therefore, the value for common factors is 30.
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 = 33670340496000/(1x30)
LCM = 33670340496000/30
LCM = 1122344683200
Thus, we can understand that the LCM of 486,899,192,845,475 is 1122344683200.
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FAQs on LCM of 486, 899, 192, 845, 475
1. What is the LCM of 486, 899, 192, 845, 475?
Answer: LCM of 486, 899, 192, 845, 475 is 1122344683200.
2. How to calculate the LCM of 486, 899, 192, 845, 475?
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 486, 899, 192, 845, 475.
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}.