LCM of 906, 567, 895, 206, 249
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 567, 895, 206, 249 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, 567, 895, 206, 249. So, keep reading to learn more.
Given numbers are 906,567,895,206,249
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,567,895,206,249 is 1310172122070.
Find LCM of 906,567,895,206,249 with Prime Factorization
| 2 | 906, 567, 895, 206, 249 |
| 3 | 453, 567, 895, 103, 249 |
| 151, 189, 895, 103, 83 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 151 x 189 x 895 x 103 x 83 = 1310172122070
Therefore, the lowest common multiple of 906,567,895,206,249 is 1310172122070.
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 567 x 895 x 206 x 249 = 23583098197260
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
567 : 1, 3, 7, 9, 21, 27, 63, 81, 189, 567
895 : 1, 5, 179, 895
206 : 1, 2, 103, 206
249 : 1, 3, 83, 249
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,567,895,206,249, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
567:3x 3x 3x 3x 7
895:5x 179
206:2x 103
249:3x 83
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 3 = 18
Therefore, the value for common factors is 18.
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 = 23583098197260/(1x18)
LCM = 23583098197260/18
LCM = 1310172122070
Thus, we can understand that the LCM of 906,567,895,206,249 is 1310172122070.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 906, 567, 895, 206, 249
1. What is the LCM of 906, 567, 895, 206, 249?
Answer: LCM of 906, 567, 895, 206, 249 is 1310172122070.
2. How to calculate the LCM of 906, 567, 895, 206, 249?
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, 567, 895, 206, 249.
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}.