Find the LCM of 847, 616, 385, 768 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 847, 616, 385, 768. So, keep reading to learn more.
Given numbers are 847,616,385,768
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 847,616,385,768 is 3252480.
Find LCM of 847,616,385,768 with Prime Factorization
2 | 847, 616, 385, 768 |
2 | 847, 308, 385, 384 |
2 | 847, 154, 385, 192 |
7 | 847, 77, 385, 96 |
11 | 121, 11, 55, 96 |
1, 11, 5, 96 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 7 x 11 x 1 x 11 x 5 x 96 = 3252480
Therefore, the lowest common multiple of 847,616,385,768 is 3252480.
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.
847 x 616 x 385 x 768 = 154271631360
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.
847 : 1, 7, 11, 77, 121, 847
616 : 1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
385 : 1, 5, 7, 11, 35, 55, 77, 385
768 : 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 768
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 847,616,385,768, is 1.
Now, the common factors can be found like this.
847:7x 11x 11
616:2x 2x 2x 7x 11
385:5x 7x 11
768:2x 2x 2x 2x 2x 2x 2x 2x 3
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 7x 11x 11 = 47432
Therefore, the value for common factors is 47432.
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 = 154271631360/(1x47432)
LCM = 154271631360/47432
LCM = 3252480
Thus, we can understand that the LCM of 847,616,385,768 is 3252480.
Here are some samples of LCM of two or more Numbers calculations.
1. What is the LCM of 847, 616, 385, 768?
Answer: LCM of 847, 616, 385, 768 is 3252480.
2. How to calculate the LCM of 847, 616, 385, 768?
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 847, 616, 385, 768.
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}.