Find the LCM of 913, 397, 397, 196, 731 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, 397, 397, 196, 731. So, keep reading to learn more.
Given numbers are 913,397,397,196,731
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,397,397,196,731 is 51931962236.
Find LCM of 913,397,397,196,731 with Prime Factorization
397 | 913, 397, 397, 196, 731 |
913, 1, 1, 196, 731 |
Multiply the prime numbers at the bottom and the left side.
397 x 913 x 1 x 1 x 196 x 731 = 51931962236
Therefore, the lowest common multiple of 913,397,397,196,731 is 51931962236.
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 397 x 397 x 196 x 731 = 20616989007692
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
397 : 1, 397
397 : 1, 397
196 : 1, 2, 4, 7, 14, 28, 49, 98, 196
731 : 1, 17, 43, 731
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,397,397,196,731, is 1.
Now, the common factors can be found like this.
913:11x 83
397:397
397:397
196:2x 2x 7x 7
731:17x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
397 = 397
Therefore, the value for common factors is 397.
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 = 20616989007692/(1x397)
LCM = 20616989007692/397
LCM = 51931962236
Thus, we can understand that the LCM of 913,397,397,196,731 is 51931962236.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 913, 397, 397, 196, 731?
Answer: LCM of 913, 397, 397, 196, 731 is 51931962236.
2. How to calculate the LCM of 913, 397, 397, 196, 731?
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, 397, 397, 196, 731.
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}.