LCM of 906, 789, 228, 866, 620
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 789, 228, 866, 620 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, 789, 228, 866, 620. So, keep reading to learn more.
Given numbers are 906,789,228,866,620
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,789,228,866,620 is 607697062860.
Find LCM of 906,789,228,866,620 with Prime Factorization
| 2 | 906, 789, 228, 866, 620 |
| 2 | 453, 789, 114, 433, 310 |
| 3 | 453, 789, 57, 433, 155 |
| 151, 263, 19, 433, 155 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 151 x 263 x 19 x 433 x 155 = 607697062860
Therefore, the lowest common multiple of 906,789,228,866,620 is 607697062860.
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 789 x 228 x 866 x 620 = 87508377051840
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
789 : 1, 3, 263, 789
228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228
866 : 1, 2, 433, 866
620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,789,228,866,620, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
789:3x 263
228:2x 2x 3x 19
866:2x 433
620:2x 2x 5x 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 2x 3x 3 = 144
Therefore, the value for common factors is 144.
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 = 87508377051840/(1x144)
LCM = 87508377051840/144
LCM = 607697062860
Thus, we can understand that the LCM of 906,789,228,866,620 is 607697062860.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 906, 789, 228, 866, 620
1. What is the LCM of 906, 789, 228, 866, 620?
Answer: LCM of 906, 789, 228, 866, 620 is 607697062860.
2. How to calculate the LCM of 906, 789, 228, 866, 620?
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, 789, 228, 866, 620.
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}.