Find the LCM of 422, 731, 302, 344, 713 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 422, 731, 302, 344, 713. So, keep reading to learn more.
Given numbers are 422,731,302,344,713
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 422,731,302,344,713 is 132848390264.
Find LCM of 422,731,302,344,713 with Prime Factorization
2 | 422, 731, 302, 344, 713 |
43 | 211, 731, 151, 172, 713 |
211, 17, 151, 4, 713 |
Multiply the prime numbers at the bottom and the left side.
2 x 43 x 211 x 17 x 151 x 4 x 713 = 132848390264
Therefore, the lowest common multiple of 422,731,302,344,713 is 132848390264.
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.
422 x 731 x 302 x 344 x 713 = 22849923125408
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.
422 : 1, 2, 211, 422
731 : 1, 17, 43, 731
302 : 1, 2, 151, 302
344 : 1, 2, 4, 8, 43, 86, 172, 344
713 : 1, 23, 31, 713
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 422,731,302,344,713, is 1.
Now, the common factors can be found like this.
422:2x 211
731:17x 43
302:2x 151
344:2x 2x 2x 43
713:23x 31
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 43 = 172
Therefore, the value for common factors is 172.
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 = 22849923125408/(1x172)
LCM = 22849923125408/172
LCM = 132848390264
Thus, we can understand that the LCM of 422,731,302,344,713 is 132848390264.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 422, 731, 302, 344, 713?
Answer: LCM of 422, 731, 302, 344, 713 is 132848390264.
2. How to calculate the LCM of 422, 731, 302, 344, 713?
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 422, 731, 302, 344, 713.
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}.