LCM of 913, 258, 645, 381, 979
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 258, 645, 381, 979 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 913, 258, 645, 381, 979. So, keep reading to learn more.
Given numbers are 913,258,645,381,979
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,258,645,381,979 is 13312334310.
Find LCM of 913,258,645,381,979 with Prime Factorization
| 3 | 913, 258, 645, 381, 979 |
| 11 | 913, 86, 215, 127, 979 |
| 43 | 83, 86, 215, 127, 89 |
| 83, 2, 5, 127, 89 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 43 x 83 x 2 x 5 x 127 x 89 = 13312334310
Therefore, the lowest common multiple of 913,258,645,381,979 is 13312334310.
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.
913 x 258 x 645 x 381 x 979 = 56670607157670
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.
913 : 1, 11, 83, 913
258 : 1, 2, 3, 6, 43, 86, 129, 258
645 : 1, 3, 5, 15, 43, 129, 215, 645
381 : 1, 3, 127, 381
979 : 1, 11, 89, 979
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,258,645,381,979, is 1.
Now, the common factors can be found like this.
913:11x 83
258:2x 3x 43
645:3x 5x 43
381:3x 127
979:11x 89
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 11x 43 = 4257
Therefore, the value for common factors is 4257.
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 = 56670607157670/(1x4257)
LCM = 56670607157670/4257
LCM = 13312334310
Thus, we can understand that the LCM of 913,258,645,381,979 is 13312334310.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 913, 258, 645, 381, 979
1. What is the LCM of 913, 258, 645, 381, 979?
Answer: LCM of 913, 258, 645, 381, 979 is 13312334310.
2. How to calculate the LCM of 913, 258, 645, 381, 979?
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 913, 258, 645, 381, 979.
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}.