LCM of 235, 906, 905, 940
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 235, 906, 905, 940 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 235, 906, 905, 940. So, keep reading to learn more.
Given numbers are 235,906,905,940
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 235,906,905,940 is 77073420.
Find LCM of 235,906,905,940 with Prime Factorization
| 2 | 235, 906, 905, 940 |
| 5 | 235, 453, 905, 470 |
| 47 | 47, 453, 181, 94 |
| 1, 453, 181, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 47 x 1 x 453 x 181 x 2 = 77073420
Therefore, the lowest common multiple of 235,906,905,940 is 77073420.
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.
235 x 906 x 905 x 940 = 181122537000
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.
235 : 1, 5, 47, 235
906 : 1, 2, 3, 6, 151, 302, 453, 906
905 : 1, 5, 181, 905
940 : 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 235,906,905,940, is 1.
Now, the common factors can be found like this.
235:5x 47
906:2x 3x 151
905:5x 181
940:2x 2x 5x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 5x 47 = 2350
Therefore, the value for common factors is 2350.
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 = 181122537000/(1x2350)
LCM = 181122537000/2350
LCM = 77073420
Thus, we can understand that the LCM of 235,906,905,940 is 77073420.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 235, 906, 905, 940
1. What is the LCM of 235, 906, 905, 940?
Answer: LCM of 235, 906, 905, 940 is 77073420.
2. How to calculate the LCM of 235, 906, 905, 940?
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 235, 906, 905, 940.
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}.