Find the LCM of 310, 223, 818, 214, 525 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 310, 223, 818, 214, 525. So, keep reading to learn more.
Given numbers are 310,223,818,214,525
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,223,818,214,525 is 317660299950.
Find LCM of 310,223,818,214,525 with Prime Factorization
2 | 310, 223, 818, 214, 525 |
5 | 155, 223, 409, 107, 525 |
31, 223, 409, 107, 105 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 31 x 223 x 409 x 107 x 105 = 317660299950
Therefore, the lowest common multiple of 310,223,818,214,525 is 317660299950.
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.
310 x 223 x 818 x 214 x 525 = 6353205999000
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.
310 : 1, 2, 5, 10, 31, 62, 155, 310
223 : 1, 223
818 : 1, 2, 409, 818
214 : 1, 2, 107, 214
525 : 1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,223,818,214,525, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
223:223
818:2x 409
214:2x 107
525:3x 5x 5x 7
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 5 = 20
Therefore, the value for common factors is 20.
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 = 6353205999000/(1x20)
LCM = 6353205999000/20
LCM = 317660299950
Thus, we can understand that the LCM of 310,223,818,214,525 is 317660299950.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 310, 223, 818, 214, 525?
Answer: LCM of 310, 223, 818, 214, 525 is 317660299950.
2. How to calculate the LCM of 310, 223, 818, 214, 525?
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 310, 223, 818, 214, 525.
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}.