Find the LCM of 376, 782, 968, 385 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 376, 782, 968, 385. So, keep reading to learn more.
Given numbers are 376,782,968,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 376,782,968,385 is 622612760.
Find LCM of 376,782,968,385 with Prime Factorization
2 | 376, 782, 968, 385 |
2 | 188, 391, 484, 385 |
2 | 94, 391, 242, 385 |
11 | 47, 391, 121, 385 |
47, 391, 11, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 11 x 47 x 391 x 11 x 35 = 622612760
Therefore, the lowest common multiple of 376,782,968,385 is 622612760.
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.
376 x 782 x 968 x 385 = 109579845760
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.
376 : 1, 2, 4, 8, 47, 94, 188, 376
782 : 1, 2, 17, 23, 34, 46, 391, 782
968 : 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 376,782,968,385, is 1.
Now, the common factors can be found like this.
376:2x 2x 2x 47
782:2x 17x 23
968:2x 2x 2x 11x 11
385:5x 7x 11
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 11 = 176
Therefore, the value for common factors is 176.
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 = 109579845760/(1x176)
LCM = 109579845760/176
LCM = 622612760
Thus, we can understand that the LCM of 376,782,968,385 is 622612760.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 376, 782, 968, 385?
Answer: LCM of 376, 782, 968, 385 is 622612760.
2. How to calculate the LCM of 376, 782, 968, 385?
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 376, 782, 968, 385.
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}.