LCM of 906, 810, 972, 222
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 810, 972, 222 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 906, 810, 972, 222. So, keep reading to learn more.
Given numbers are 906,810,972,222
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,810,972,222 is 27152820.
Find LCM of 906,810,972,222 with Prime Factorization
| 2 | 906, 810, 972, 222 |
| 3 | 453, 405, 486, 111 |
| 3 | 151, 135, 162, 37 |
| 3 | 151, 45, 54, 37 |
| 3 | 151, 15, 18, 37 |
| 151, 5, 6, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 151 x 5 x 6 x 37 = 27152820
Therefore, the lowest common multiple of 906,810,972,222 is 27152820.
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.
906 x 810 x 972 x 222 = 158355246240
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.
906 : 1, 2, 3, 6, 151, 302, 453, 906
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
972 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
222 : 1, 2, 3, 6, 37, 74, 111, 222
6 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,810,972,222, is 6.
Now, the common factors can be found like this.
906:2x 3x 151
810:2x 3x 3x 3x 3x 5
972:2x 2x 3x 3x 3x 3x 3
222:2x 3x 37
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 3x 3x 3x 3x 3 = 972
Therefore, the value for common factors is 972.
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 = 158355246240/(6x972)
LCM = 158355246240/5832
LCM = 27152820
Thus, we can understand that the LCM of 906,810,972,222 is 27152820.
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FAQs on LCM of 906, 810, 972, 222
1. What is the LCM of 906, 810, 972, 222?
Answer: LCM of 906, 810, 972, 222 is 27152820.
2. How to calculate the LCM of 906, 810, 972, 222?
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 906, 810, 972, 222.
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}.