Find the LCM of 716, 802, 388, 236, 148 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 716, 802, 388, 236, 148. So, keep reading to learn more.
Given numbers are 716,802,388,236,148
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 716,802,388,236,148 is 60797100116.
Find LCM of 716,802,388,236,148 with Prime Factorization
2 | 716, 802, 388, 236, 148 |
2 | 358, 401, 194, 118, 74 |
179, 401, 97, 59, 37 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 179 x 401 x 97 x 59 x 37 = 60797100116
Therefore, the lowest common multiple of 716,802,388,236,148 is 60797100116.
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.
716 x 802 x 388 x 236 x 148 = 7782028814848
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.
716 : 1, 2, 4, 179, 358, 716
802 : 1, 2, 401, 802
388 : 1, 2, 4, 97, 194, 388
236 : 1, 2, 4, 59, 118, 236
148 : 1, 2, 4, 37, 74, 148
2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 716,802,388,236,148, is 2.
Now, the common factors can be found like this.
716:2x 2x 179
802:2x 401
388:2x 2x 97
236:2x 2x 59
148:2x 2x 37
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 2x 2x 2x 2 = 64
Therefore, the value for common factors is 64.
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 = 7782028814848/(2x64)
LCM = 7782028814848/128
LCM = 60797100116
Thus, we can understand that the LCM of 716,802,388,236,148 is 60797100116.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 716, 802, 388, 236, 148?
Answer: LCM of 716, 802, 388, 236, 148 is 60797100116.
2. How to calculate the LCM of 716, 802, 388, 236, 148?
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 716, 802, 388, 236, 148.
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}.