Find the LCM of 682, 253, 303, 949 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 682, 253, 303, 949. So, keep reading to learn more.
Given numbers are 682,253,303,949
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 682,253,303,949 is 4510462242.
Find LCM of 682,253,303,949 with Prime Factorization
11 | 682, 253, 303, 949 |
62, 23, 303, 949 |
Multiply the prime numbers at the bottom and the left side.
11 x 62 x 23 x 303 x 949 = 4510462242
Therefore, the lowest common multiple of 682,253,303,949 is 4510462242.
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.
682 x 253 x 303 x 949 = 49615084662
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.
682 : 1, 2, 11, 22, 31, 62, 341, 682
253 : 1, 11, 23, 253
303 : 1, 3, 101, 303
949 : 1, 13, 73, 949
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 682,253,303,949, is 1.
Now, the common factors can be found like this.
682:2x 11x 31
253:11x 23
303:3x 101
949:13x 73
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
11 = 11
Therefore, the value for common factors is 11.
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 = 49615084662/(1x11)
LCM = 49615084662/11
LCM = 4510462242
Thus, we can understand that the LCM of 682,253,303,949 is 4510462242.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 682, 253, 303, 949?
Answer: LCM of 682, 253, 303, 949 is 4510462242.
2. How to calculate the LCM of 682, 253, 303, 949?
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 682, 253, 303, 949.
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}.