Find the LCM of 382, 777, 148, 962 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 382, 777, 148, 962. So, keep reading to learn more.
Given numbers are 382,777,148,962
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,777,148,962 is 7717164.
Find LCM of 382,777,148,962 with Prime Factorization
2 | 382, 777, 148, 962 |
37 | 191, 777, 74, 481 |
191, 21, 2, 13 |
Multiply the prime numbers at the bottom and the left side.
2 x 37 x 191 x 21 x 2 x 13 = 7717164
Therefore, the lowest common multiple of 382,777,148,962 is 7717164.
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.
382 x 777 x 148 x 962 = 42259190064
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.
382 : 1, 2, 191, 382
777 : 1, 3, 7, 21, 37, 111, 259, 777
148 : 1, 2, 4, 37, 74, 148
962 : 1, 2, 13, 26, 37, 74, 481, 962
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,777,148,962, is 1.
Now, the common factors can be found like this.
382:2x 191
777:3x 7x 37
148:2x 2x 37
962:2x 13x 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 37x 37 = 5476
Therefore, the value for common factors is 5476.
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 = 42259190064/(1x5476)
LCM = 42259190064/5476
LCM = 7717164
Thus, we can understand that the LCM of 382,777,148,962 is 7717164.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 382, 777, 148, 962?
Answer: LCM of 382, 777, 148, 962 is 7717164.
2. How to calculate the LCM of 382, 777, 148, 962?
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 382, 777, 148, 962.
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}.