Find the LCM of 310, 289, 770, 935, 150 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, 289, 770, 935, 150. So, keep reading to learn more.
Given numbers are 310,289,770,935,150
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 310,289,770,935,150 is 103476450.
Find LCM of 310,289,770,935,150 with Prime Factorization
2 | 310, 289, 770, 935, 150 |
5 | 155, 289, 385, 935, 75 |
11 | 31, 289, 77, 187, 15 |
17 | 31, 289, 7, 17, 15 |
31, 1, 7, 17, 15 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 11 x 17 x 31 x 1 x 7 x 17 x 15 = 103476450
Therefore, the lowest common multiple of 310,289,770,935,150 is 103476450.
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 289 x 770 x 935 x 150 = 9675048075000
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
289 : 1, 17, 289
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
935 : 1, 5, 11, 17, 55, 85, 187, 935
150 : 1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 310,289,770,935,150, is 1.
Now, the common factors can be found like this.
310:2x 5x 31
289:17x 17
770:2x 5x 7x 11
935:5x 11x 17
150:2x 3x 5x 5
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 5x 5x 5x 11x 17 = 93500
Therefore, the value for common factors is 93500.
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 = 9675048075000/(1x93500)
LCM = 9675048075000/93500
LCM = 103476450
Thus, we can understand that the LCM of 310,289,770,935,150 is 103476450.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 310, 289, 770, 935, 150?
Answer: LCM of 310, 289, 770, 935, 150 is 103476450.
2. How to calculate the LCM of 310, 289, 770, 935, 150?
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, 289, 770, 935, 150.
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}.