LCM of 187, 259, 306, 906, 333
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 187, 259, 306, 906, 333 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 187, 259, 306, 906, 333. So, keep reading to learn more.
Given numbers are 187,259,306,906,333
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 187,259,306,906,333 is 131640894.
Find LCM of 187,259,306,906,333 with Prime Factorization
| 2 | 187, 259, 306, 906, 333 |
| 3 | 187, 259, 153, 453, 333 |
| 3 | 187, 259, 51, 151, 111 |
| 17 | 187, 259, 17, 151, 37 |
| 37 | 11, 259, 1, 151, 37 |
| 11, 7, 1, 151, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 17 x 37 x 11 x 7 x 1 x 151 x 1 = 131640894
Therefore, the lowest common multiple of 187,259,306,906,333 is 131640894.
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.
187 x 259 x 306 x 906 x 333 = 4471314605604
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.
187 : 1, 11, 17, 187
259 : 1, 7, 37, 259
306 : 1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
906 : 1, 2, 3, 6, 151, 302, 453, 906
333 : 1, 3, 9, 37, 111, 333
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 187,259,306,906,333, is 1.
Now, the common factors can be found like this.
187:11x 17
259:7x 37
306:2x 3x 3x 17
906:2x 3x 151
333:3x 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 3x 3x 3x 17x 37 = 33966
Therefore, the value for common factors is 33966.
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 = 4471314605604/(1x33966)
LCM = 4471314605604/33966
LCM = 131640894
Thus, we can understand that the LCM of 187,259,306,906,333 is 131640894.
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FAQs on LCM of 187, 259, 306, 906, 333
1. What is the LCM of 187, 259, 306, 906, 333?
Answer: LCM of 187, 259, 306, 906, 333 is 131640894.
2. How to calculate the LCM of 187, 259, 306, 906, 333?
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 187, 259, 306, 906, 333.
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}.