LCM of 810, 900, 889, 356
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 810, 900, 889, 356 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 810, 900, 889, 356. So, keep reading to learn more.
Given numbers are 810,900,889,356
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 810,900,889,356 is 640880100.
Find LCM of 810,900,889,356 with Prime Factorization
| 2 | 810, 900, 889, 356 |
| 2 | 405, 450, 889, 178 |
| 3 | 405, 225, 889, 89 |
| 3 | 135, 75, 889, 89 |
| 5 | 45, 25, 889, 89 |
| 9, 5, 889, 89 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 5 x 9 x 5 x 889 x 89 = 640880100
Therefore, the lowest common multiple of 810,900,889,356 is 640880100.
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.
810 x 900 x 889 x 356 = 230716836000
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.
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
900 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
889 : 1, 7, 127, 889
356 : 1, 2, 4, 89, 178, 356
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 810,900,889,356, is 1.
Now, the common factors can be found like this.
810:2x 3x 3x 3x 3x 5
900:2x 2x 3x 3x 5x 5
889:7x 127
356:2x 2x 89
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 3x 3x 5 = 360
Therefore, the value for common factors is 360.
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 = 230716836000/(1x360)
LCM = 230716836000/360
LCM = 640880100
Thus, we can understand that the LCM of 810,900,889,356 is 640880100.
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FAQs on LCM of 810, 900, 889, 356
1. What is the LCM of 810, 900, 889, 356?
Answer: LCM of 810, 900, 889, 356 is 640880100.
2. How to calculate the LCM of 810, 900, 889, 356?
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 810, 900, 889, 356.
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}.