LCM of 806, 812, 899, 500, 875
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 806, 812, 899, 500, 875 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 806, 812, 899, 500, 875. So, keep reading to learn more.
Given numbers are 806,812,899,500,875
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 806,812,899,500,875 is 40904500.
Find LCM of 806,812,899,500,875 with Prime Factorization
| 2 | 806, 812, 899, 500, 875 |
| 2 | 403, 406, 899, 250, 875 |
| 5 | 403, 203, 899, 125, 875 |
| 5 | 403, 203, 899, 25, 175 |
| 5 | 403, 203, 899, 5, 35 |
| 7 | 403, 203, 899, 1, 7 |
| 29 | 403, 29, 899, 1, 1 |
| 31 | 403, 1, 31, 1, 1 |
| 13, 1, 1, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 5 x 5 x 7 x 29 x 31 x 13 x 1 x 1 x 1 x 1 = 40904500
Therefore, the lowest common multiple of 806,812,899,500,875 is 40904500.
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.
806 x 812 x 899 x 500 x 875 = 257412018500000
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.
806 : 1, 2, 13, 26, 31, 62, 403, 806
812 : 1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812
899 : 1, 29, 31, 899
500 : 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
875 : 1, 5, 7, 25, 35, 125, 175, 875
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 806,812,899,500,875, is 1.
Now, the common factors can be found like this.
806:2x 13x 31
812:2x 2x 7x 29
899:29x 31
500:2x 2x 5x 5x 5
875:5x 5x 5x 7
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 5x 5x 5x 7x 29x 31 = 6293000
Therefore, the value for common factors is 6293000.
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 = 257412018500000/(1x6293000)
LCM = 257412018500000/6293000
LCM = 40904500
Thus, we can understand that the LCM of 806,812,899,500,875 is 40904500.
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FAQs on LCM of 806, 812, 899, 500, 875
1. What is the LCM of 806, 812, 899, 500, 875?
Answer: LCM of 806, 812, 899, 500, 875 is 40904500.
2. How to calculate the LCM of 806, 812, 899, 500, 875?
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 806, 812, 899, 500, 875.
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}.