Find the LCM of 391, 731, 563, 516 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 391, 731, 563, 516. So, keep reading to learn more.
Given numbers are 391,731,563,516
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 391,731,563,516 is 113588628.
Find LCM of 391,731,563,516 with Prime Factorization
17 | 391, 731, 563, 516 |
43 | 23, 43, 563, 516 |
23, 1, 563, 12 |
Multiply the prime numbers at the bottom and the left side.
17 x 43 x 23 x 1 x 563 x 12 = 113588628
Therefore, the lowest common multiple of 391,731,563,516 is 113588628.
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.
391 x 731 x 563 x 516 = 83033287068
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.
391 : 1, 17, 23, 391
731 : 1, 17, 43, 731
563 : 1, 563
516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 391,731,563,516, is 1.
Now, the common factors can be found like this.
391:17x 23
731:17x 43
563:563
516:2x 2x 3x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
17x 43 = 731
Therefore, the value for common factors is 731.
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 = 83033287068/(1x731)
LCM = 83033287068/731
LCM = 113588628
Thus, we can understand that the LCM of 391,731,563,516 is 113588628.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 391, 731, 563, 516?
Answer: LCM of 391, 731, 563, 516 is 113588628.
2. How to calculate the LCM of 391, 731, 563, 516?
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 391, 731, 563, 516.
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}.