Find the LCM of 111, 849, 303, 965, 707 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 111, 849, 303, 965, 707. So, keep reading to learn more.
Given numbers are 111,849,303,965,707
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 111,849,303,965,707 is 21431676315.
Find LCM of 111,849,303,965,707 with Prime Factorization
3 | 111, 849, 303, 965, 707 |
101 | 37, 283, 101, 965, 707 |
37, 283, 1, 965, 7 |
Multiply the prime numbers at the bottom and the left side.
3 x 101 x 37 x 283 x 1 x 965 x 7 = 21431676315
Therefore, the lowest common multiple of 111,849,303,965,707 is 21431676315.
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.
111 x 849 x 303 x 965 x 707 = 19481393770335
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.
111 : 1, 3, 37, 111
849 : 1, 3, 283, 849
303 : 1, 3, 101, 303
965 : 1, 5, 193, 965
707 : 1, 7, 101, 707
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 111,849,303,965,707, is 1.
Now, the common factors can be found like this.
111:3x 37
849:3x 283
303:3x 101
965:5x 193
707:7x 101
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 101 = 909
Therefore, the value for common factors is 909.
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 = 19481393770335/(1x909)
LCM = 19481393770335/909
LCM = 21431676315
Thus, we can understand that the LCM of 111,849,303,965,707 is 21431676315.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 111, 849, 303, 965, 707?
Answer: LCM of 111, 849, 303, 965, 707 is 21431676315.
2. How to calculate the LCM of 111, 849, 303, 965, 707?
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 111, 849, 303, 965, 707.
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}.