LCM of 906, 137, 969, 422, 313
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 906, 137, 969, 422, 313 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, 137, 969, 422, 313. So, keep reading to learn more.
Given numbers are 906,137,969,422,313
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 906,137,969,422,313 is 2647756726458.
Find LCM of 906,137,969,422,313 with Prime Factorization
| 2 | 906, 137, 969, 422, 313 |
| 3 | 453, 137, 969, 211, 313 |
| 151, 137, 323, 211, 313 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 151 x 137 x 323 x 211 x 313 = 2647756726458
Therefore, the lowest common multiple of 906,137,969,422,313 is 2647756726458.
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 137 x 969 x 422 x 313 = 15886540358748
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
137 : 1, 137
969 : 1, 3, 17, 19, 51, 57, 323, 969
422 : 1, 2, 211, 422
313 : 1, 313
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 906,137,969,422,313, is 1.
Now, the common factors can be found like this.
906:2x 3x 151
137:137
969:3x 17x 19
422:2x 211
313:313
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3 = 6
Therefore, the value for common factors is 6.
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 = 15886540358748/(1x6)
LCM = 15886540358748/6
LCM = 2647756726458
Thus, we can understand that the LCM of 906,137,969,422,313 is 2647756726458.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 906, 137, 969, 422, 313
1. What is the LCM of 906, 137, 969, 422, 313?
Answer: LCM of 906, 137, 969, 422, 313 is 2647756726458.
2. How to calculate the LCM of 906, 137, 969, 422, 313?
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, 137, 969, 422, 313.
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}.