LCM of 905, 462, 371, 203, 959
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 905, 462, 371, 203, 959 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 905, 462, 371, 203, 959. So, keep reading to learn more.
Given numbers are 905,462,371,203,959
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 905,462,371,203,959 is 88041004590.
Find LCM of 905,462,371,203,959 with Prime Factorization
| 7 | 905, 462, 371, 203, 959 |
| 905, 66, 53, 29, 137 |
Multiply the prime numbers at the bottom and the left side.
7 x 905 x 66 x 53 x 29 x 137 = 88041004590
Therefore, the lowest common multiple of 905,462,371,203,959 is 88041004590.
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.
905 x 462 x 371 x 203 x 959 = 30198064574370
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.
905 : 1, 5, 181, 905
462 : 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462
371 : 1, 7, 53, 371
203 : 1, 7, 29, 203
959 : 1, 7, 137, 959
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 905,462,371,203,959, is 1.
Now, the common factors can be found like this.
905:5x 181
462:2x 3x 7x 11
371:7x 53
203:7x 29
959:7x 137
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 7 = 343
Therefore, the value for common factors is 343.
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 = 30198064574370/(1x343)
LCM = 30198064574370/343
LCM = 88041004590
Thus, we can understand that the LCM of 905,462,371,203,959 is 88041004590.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 905, 462, 371, 203, 959
1. What is the LCM of 905, 462, 371, 203, 959?
Answer: LCM of 905, 462, 371, 203, 959 is 88041004590.
2. How to calculate the LCM of 905, 462, 371, 203, 959?
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 905, 462, 371, 203, 959.
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}.