Find the LCM of 382, 764, 679, 749 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, 764, 679, 749. So, keep reading to learn more.
Given numbers are 382,764,679,749
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 382,764,679,749 is 55506892.
Find LCM of 382,764,679,749 with Prime Factorization
2 | 382, 764, 679, 749 |
7 | 191, 382, 679, 749 |
191 | 191, 382, 97, 107 |
1, 2, 97, 107 |
Multiply the prime numbers at the bottom and the left side.
2 x 7 x 191 x 1 x 2 x 97 x 107 = 55506892
Therefore, the lowest common multiple of 382,764,679,749 is 55506892.
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 764 x 679 x 749 = 148425429208
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
764 : 1, 2, 4, 191, 382, 764
679 : 1, 7, 97, 679
749 : 1, 7, 107, 749
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 382,764,679,749, is 1.
Now, the common factors can be found like this.
382:2x 191
764:2x 2x 191
679:7x 97
749:7x 107
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 7x 191 = 2674
Therefore, the value for common factors is 2674.
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 = 148425429208/(1x2674)
LCM = 148425429208/2674
LCM = 55506892
Thus, we can understand that the LCM of 382,764,679,749 is 55506892.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 382, 764, 679, 749?
Answer: LCM of 382, 764, 679, 749 is 55506892.
2. How to calculate the LCM of 382, 764, 679, 749?
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, 764, 679, 749.
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}.