LCM of 862, 204, 360, 899
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 862, 204, 360, 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 862, 204, 360, 899. So, keep reading to learn more.
Given numbers are 862,204,360,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 862,204,360,899 is 2371310280.
Find LCM of 862,204,360,899 with Prime Factorization
| 2 | 862, 204, 360, 899 |
| 2 | 431, 102, 180, 899 |
| 3 | 431, 51, 90, 899 |
| 431, 17, 30, 899 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 431 x 17 x 30 x 899 = 2371310280
Therefore, the lowest common multiple of 862,204,360,899 is 2371310280.
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.
862 x 204 x 360 x 899 = 56911446720
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.
862 : 1, 2, 431, 862
204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204
360 : 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 862,204,360,899, is 1.
Now, the common factors can be found like this.
862:2x 431
204:2x 2x 3x 17
360:2x 2x 2x 3x 3x 5
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 2x 3 = 24
Therefore, the value for common factors is 24.
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 = 56911446720/(1x24)
LCM = 56911446720/24
LCM = 2371310280
Thus, we can understand that the LCM of 862,204,360,899 is 2371310280.
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FAQs on LCM of 862, 204, 360, 899
1. What is the LCM of 862, 204, 360, 899?
Answer: LCM of 862, 204, 360, 899 is 2371310280.
2. How to calculate the LCM of 862, 204, 360, 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 862, 204, 360, 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}.