Find the LCM of 319, 310, 403, 125, 937 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, 310, 403, 125, 937. So, keep reading to learn more.
Given numbers are 319,310,403,125,937
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 319,310,403,125,937 is 30114477250.
Find LCM of 319,310,403,125,937 with Prime Factorization
5 | 319, 310, 403, 125, 937 |
31 | 319, 62, 403, 25, 937 |
319, 2, 13, 25, 937 |
Multiply the prime numbers at the bottom and the left side.
5 x 31 x 319 x 2 x 13 x 25 x 937 = 30114477250
Therefore, the lowest common multiple of 319,310,403,125,937 is 30114477250.
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 310 x 403 x 125 x 937 = 4667743973750
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
310 : 1, 2, 5, 10, 31, 62, 155, 310
403 : 1, 13, 31, 403
125 : 1, 5, 25, 125
937 : 1, 937
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 319,310,403,125,937, is 1.
Now, the common factors can be found like this.
319:11x 29
310:2x 5x 31
403:13x 31
125:5x 5x 5
937:937
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 31 = 155
Therefore, the value for common factors is 155.
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 = 4667743973750/(1x155)
LCM = 4667743973750/155
LCM = 30114477250
Thus, we can understand that the LCM of 319,310,403,125,937 is 30114477250.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 319, 310, 403, 125, 937?
Answer: LCM of 319, 310, 403, 125, 937 is 30114477250.
2. How to calculate the LCM of 319, 310, 403, 125, 937?
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, 310, 403, 125, 937.
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}.