Find the LCM of 101, 308, 604, 786, 477 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 101, 308, 604, 786, 477. So, keep reading to learn more.
Given numbers are 101,308,604,786,477
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 101,308,604,786,477 is 293520684996.
Find LCM of 101,308,604,786,477 with Prime Factorization
2 | 101, 308, 604, 786, 477 |
2 | 101, 154, 302, 393, 477 |
3 | 101, 77, 151, 393, 477 |
101, 77, 151, 131, 159 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 101 x 77 x 151 x 131 x 159 = 293520684996
Therefore, the lowest common multiple of 101,308,604,786,477 is 293520684996.
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.
101 x 308 x 604 x 786 x 477 = 7044496439904
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.
101 : 1, 101
308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
604 : 1, 2, 4, 151, 302, 604
786 : 1, 2, 3, 6, 131, 262, 393, 786
477 : 1, 3, 9, 53, 159, 477
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 101,308,604,786,477, is 1.
Now, the common factors can be found like this.
101:101
308:2x 2x 7x 11
604:2x 2x 151
786:2x 3x 131
477:3x 3x 53
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 3 = 24
Therefore, the value for common factors is 24.
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 = 7044496439904/(1x24)
LCM = 7044496439904/24
LCM = 293520684996
Thus, we can understand that the LCM of 101,308,604,786,477 is 293520684996.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 101, 308, 604, 786, 477?
Answer: LCM of 101, 308, 604, 786, 477 is 293520684996.
2. How to calculate the LCM of 101, 308, 604, 786, 477?
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 101, 308, 604, 786, 477.
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}.