Find the LCM of 319, 731, 385, 527 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 319, 731, 385, 527. So, keep reading to learn more.
Given numbers are 319,731,385,527
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,731,385,527 is 253010065.
Find LCM of 319,731,385,527 with Prime Factorization
11 | 319, 731, 385, 527 |
17 | 29, 731, 35, 527 |
29, 43, 35, 31 |
Multiply the prime numbers at the bottom and the left side.
11 x 17 x 29 x 43 x 35 x 31 = 253010065
Therefore, the lowest common multiple of 319,731,385,527 is 253010065.
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.
319 x 731 x 385 x 527 = 47312882155
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.
319 : 1, 11, 29, 319
731 : 1, 17, 43, 731
385 : 1, 5, 7, 11, 35, 55, 77, 385
527 : 1, 17, 31, 527
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,731,385,527, is 1.
Now, the common factors can be found like this.
319:11x 29
731:17x 43
385:5x 7x 11
527:17x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11x 17 = 187
Therefore, the value for common factors is 187.
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 = 47312882155/(1x187)
LCM = 47312882155/187
LCM = 253010065
Thus, we can understand that the LCM of 319,731,385,527 is 253010065.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 319, 731, 385, 527?
Answer: LCM of 319, 731, 385, 527 is 253010065.
2. How to calculate the LCM of 319, 731, 385, 527?
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 319, 731, 385, 527.
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}.