LCM of 113, 291, 602, 731, 906
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 113, 291, 602, 731, 906 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 113, 291, 602, 731, 906. So, keep reading to learn more.
Given numbers are 113,291,602,731,906
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 113,291,602,731,906 is 50815217922.
Find LCM of 113,291,602,731,906 with Prime Factorization
| 2 | 113, 291, 602, 731, 906 |
| 3 | 113, 291, 301, 731, 453 |
| 43 | 113, 97, 301, 731, 151 |
| 113, 97, 7, 17, 151 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 43 x 113 x 97 x 7 x 17 x 151 = 50815217922
Therefore, the lowest common multiple of 113,291,602,731,906 is 50815217922.
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.
113 x 291 x 602 x 731 x 906 = 13110326223876
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.
113 : 1, 113
291 : 1, 3, 97, 291
602 : 1, 2, 7, 14, 43, 86, 301, 602
731 : 1, 17, 43, 731
906 : 1, 2, 3, 6, 151, 302, 453, 906
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 113,291,602,731,906, is 1.
Now, the common factors can be found like this.
113:113
291:3x 97
602:2x 7x 43
731:17x 43
906:2x 3x 151
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 43 = 258
Therefore, the value for common factors is 258.
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 = 13110326223876/(1x258)
LCM = 13110326223876/258
LCM = 50815217922
Thus, we can understand that the LCM of 113,291,602,731,906 is 50815217922.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 113, 291, 602, 731, 906
1. What is the LCM of 113, 291, 602, 731, 906?
Answer: LCM of 113, 291, 602, 731, 906 is 50815217922.
2. How to calculate the LCM of 113, 291, 602, 731, 906?
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 113, 291, 602, 731, 906.
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}.