LCM of 258, 899, 613, 992, 126
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 258, 899, 613, 992, 126 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 258, 899, 613, 992, 126. So, keep reading to learn more.
Given numbers are 258,899,613,992,126
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 258,899,613,992,126 is 47772629856.
Find LCM of 258,899,613,992,126 with Prime Factorization
| 2 | 258, 899, 613, 992, 126 |
| 3 | 129, 899, 613, 496, 63 |
| 31 | 43, 899, 613, 496, 21 |
| 43, 29, 613, 16, 21 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 31 x 43 x 29 x 613 x 16 x 21 = 47772629856
Therefore, the lowest common multiple of 258,899,613,992,126 is 47772629856.
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.
258 x 899 x 613 x 992 x 126 = 17771418306432
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.
258 : 1, 2, 3, 6, 43, 86, 129, 258
899 : 1, 29, 31, 899
613 : 1, 613
992 : 1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
126 : 1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 258,899,613,992,126, is 1.
Now, the common factors can be found like this.
258:2x 3x 43
899:29x 31
613:613
992:2x 2x 2x 2x 2x 31
126:2x 3x 3x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 31 = 372
Therefore, the value for common factors is 372.
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 = 17771418306432/(1x372)
LCM = 17771418306432/372
LCM = 47772629856
Thus, we can understand that the LCM of 258,899,613,992,126 is 47772629856.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 258, 899, 613, 992, 126
1. What is the LCM of 258, 899, 613, 992, 126?
Answer: LCM of 258, 899, 613, 992, 126 is 47772629856.
2. How to calculate the LCM of 258, 899, 613, 992, 126?
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 258, 899, 613, 992, 126.
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}.