Find the LCM of 763, 764, 616, 178, 217 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 763, 764, 616, 178, 217. So, keep reading to learn more.
Given numbers are 763,764,616,178,217
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 763,764,616,178,217 is 35382806536.
Find LCM of 763,764,616,178,217 with Prime Factorization
2 | 763, 764, 616, 178, 217 |
2 | 763, 382, 308, 89, 217 |
7 | 763, 191, 154, 89, 217 |
109, 191, 22, 89, 31 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 7 x 109 x 191 x 22 x 89 x 31 = 35382806536
Therefore, the lowest common multiple of 763,764,616,178,217 is 35382806536.
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.
763 x 764 x 616 x 178 x 217 = 13870060162112
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.
763 : 1, 7, 109, 763
764 : 1, 2, 4, 191, 382, 764
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
178 : 1, 2, 89, 178
217 : 1, 7, 31, 217
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 763,764,616,178,217, is 1.
Now, the common factors can be found like this.
763:7x 109
764:2x 2x 191
616:2x 2x 2x 7x 11
178:2x 89
217:7x 31
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 7x 7 = 392
Therefore, the value for common factors is 392.
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 = 13870060162112/(1x392)
LCM = 13870060162112/392
LCM = 35382806536
Thus, we can understand that the LCM of 763,764,616,178,217 is 35382806536.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 763, 764, 616, 178, 217?
Answer: LCM of 763, 764, 616, 178, 217 is 35382806536.
2. How to calculate the LCM of 763, 764, 616, 178, 217?
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 763, 764, 616, 178, 217.
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}.