Find the LCM of 649, 415, 303, 303, 872 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 649, 415, 303, 303, 872. So, keep reading to learn more.
Given numbers are 649,415,303,303,872
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 649,415,303,303,872 is 71162616360.
Find LCM of 649,415,303,303,872 with Prime Factorization
3 | 649, 415, 303, 303, 872 |
101 | 649, 415, 101, 101, 872 |
649, 415, 1, 1, 872 |
Multiply the prime numbers at the bottom and the left side.
3 x 101 x 649 x 415 x 1 x 1 x 872 = 71162616360
Therefore, the lowest common multiple of 649,415,303,303,872 is 71162616360.
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.
649 x 415 x 303 x 303 x 872 = 21562272757080
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.
649 : 1, 11, 59, 649
415 : 1, 5, 83, 415
303 : 1, 3, 101, 303
303 : 1, 3, 101, 303
872 : 1, 2, 4, 8, 109, 218, 436, 872
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 649,415,303,303,872, is 1.
Now, the common factors can be found like this.
649:11x 59
415:5x 83
303:3x 101
303:3x 101
872:2x 2x 2x 109
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 101 = 303
Therefore, the value for common factors is 303.
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 = 21562272757080/(1x303)
LCM = 21562272757080/303
LCM = 71162616360
Thus, we can understand that the LCM of 649,415,303,303,872 is 71162616360.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 649, 415, 303, 303, 872?
Answer: LCM of 649, 415, 303, 303, 872 is 71162616360.
2. How to calculate the LCM of 649, 415, 303, 303, 872?
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 649, 415, 303, 303, 872.
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}.